Class 10th Science Gujarat Board Solution
Exercise- The SI unit of electric charge is......A. ampere B. volt C. watt D. coulomb…
- What number of electrons will be there in 1.6 C charge?A. 10^17 B. 10^18 C. 10^19 D. 10^20…
- 1μA = --------- mA.A. 10-16 B. 10-3 C. 10^3 D. 10^6
- Which of the following materials has more number of free electrons?A. Copper B. Glass C.…
- According to Ohm’s law,A. The resistance increases with the increase in current. B. The…
- The formula for an electric current is -----.A. I = Qt B. I = C. I = D. I = Wt…
- The amount of 2 A electric current is passed for 1 minute through one conducting wire. How…
- In an electrical appliance, the electric current of 4.8 A is passed, then the number of…
- Which of the following formula represents the voltage?A. B. C. Work X electric charge D.…
- The unit of electric potential difference is ---------A. J B. J/C C. 5 V D. 45 V…
- If the work is to be done to take 3C electric charge from one point to another is 15 J,…
- The resistance of one conducting wire is 10 Ω. How much electric current will flow by…
- On which factors does the resistivity of conducting wire depend?A. Length of wire B. Area…
- If the five equal pieces of a resistance wire having 5 resistance each is connected in…
- The unit of resistivity of the material is -A. B. m C. /m D. m/
- What will be the resistance between points A and B of the following electric circuit? A. 1…
- What will be the equivalent resistance between points A and B of the following electric…
- The equivalent resistance between points A and B in the following electric circuit is.…
- Which physical quantity has a unit of kWh?A. Work B. Electric power C. Electric current D.…
- 1kWh = --------jouleA. 3.6 x 10^6 B. 3.6 x 10^3 C. 3.6 x 10-6 D. 3.6 x 10-3…
- An electric heater consumes 1.1 kW power when 220 V voltage applied to it. How much…
- What makes the electric current flow through electric solution?A. Only free electrons B.…
- The distilled water acts as ----- for the electricity.A. Conductor B. Insulator C.…
- What is an electric charge? Give its types and write is unit.
- What is a free electron? Explain conducting and non-conducting materials in terms of it.…
- Give the definition of an electric current and define its unit.
- Give advantages of series and parallel connection of resistors.
- Write Faraday’s laws of electrolysis.
- What is an electric potential? Give the definition and unit of electric potential.…
- Explain the series connections of resistors and derive the formula of equivalent…
- Explain the parallel connection of resistance and drive the formula of equivalent…
- Explain electrical energy and drive its formula.
- Draw the figure of voltaic cell and explain its construction. Explain flow of current in…
- What is electrolyte? Describe the experiment showing flow of current in electrolyte.…
- Write Ohm’s law. Describe the experiment showing Ohm’s law and write its conclusions.…
- What is electroplating? Explain it with example.
- If 400 mA current flows through the bulb for 1 minute, how many electrons will pass…
- The 1800 C electric charge is passing through an electric bulb in one hour. How much…
- The three resistance of resistance 5 Ω, 10 Ω and 30 Ω are connected with a 12 V battery in…
- As shown in the figure the resistance are connected with a 12 V battery. Determine (a)…
- Find the electric current in the following circuit:
- Determine the equivalent resistance between points X and Y in the following circuit.…
- Two lamps of 100 W and 60 W are joined in parallel with 220 V lines. How much current will…
- An electric heater consumes 4.4 kW power when connected with a 220 V lines voltage then,…
- The SI unit of electric charge is......A. ampere B. volt C. watt D. coulomb…
- What number of electrons will be there in 1.6 C charge?A. 10^17 B. 10^18 C. 10^19 D. 10^20…
- 1μA = --------- mA.A. 10-16 B. 10-3 C. 10^3 D. 10^6
- Which of the following materials has more number of free electrons?A. Copper B. Glass C.…
- According to Ohm’s law,A. The resistance increases with the increase in current. B. The…
- The formula for an electric current is -----.A. I = Qt B. I = C. I = D. I = Wt…
- The amount of 2 A electric current is passed for 1 minute through one conducting wire. How…
- In an electrical appliance, the electric current of 4.8 A is passed, then the number of…
- Which of the following formula represents the voltage?A. B. C. Work X electric charge D.…
- The unit of electric potential difference is ---------A. J B. J/C C. 5 V D. 45 V…
- If the work is to be done to take 3C electric charge from one point to another is 15 J,…
- The resistance of one conducting wire is 10 Ω. How much electric current will flow by…
- On which factors does the resistivity of conducting wire depend?A. Length of wire B. Area…
- If the five equal pieces of a resistance wire having 5 resistance each is connected in…
- The unit of resistivity of the material is -A. B. m C. /m D. m/
- What will be the resistance between points A and B of the following electric circuit? A. 1…
- What will be the equivalent resistance between points A and B of the following electric…
- The equivalent resistance between points A and B in the following electric circuit is.…
- Which physical quantity has a unit of kWh?A. Work B. Electric power C. Electric current D.…
- 1kWh = --------jouleA. 3.6 x 10^6 B. 3.6 x 10^3 C. 3.6 x 10-6 D. 3.6 x 10-3…
- An electric heater consumes 1.1 kW power when 220 V voltage applied to it. How much…
- What makes the electric current flow through electric solution?A. Only free electrons B.…
- The distilled water acts as ----- for the electricity.A. Conductor B. Insulator C.…
- What is an electric charge? Give its types and write is unit.
- What is a free electron? Explain conducting and non-conducting materials in terms of it.…
- Give the definition of an electric current and define its unit.
- Give advantages of series and parallel connection of resistors.
- Write Faraday’s laws of electrolysis.
- What is an electric potential? Give the definition and unit of electric potential.…
- Explain the series connections of resistors and derive the formula of equivalent…
- Explain the parallel connection of resistance and drive the formula of equivalent…
- Explain electrical energy and drive its formula.
- Draw the figure of voltaic cell and explain its construction. Explain flow of current in…
- What is electrolyte? Describe the experiment showing flow of current in electrolyte.…
- Write Ohm’s law. Describe the experiment showing Ohm’s law and write its conclusions.…
- What is electroplating? Explain it with example.
- If 400 mA current flows through the bulb for 1 minute, how many electrons will pass…
- The 1800 C electric charge is passing through an electric bulb in one hour. How much…
- The three resistance of resistance 5 Ω, 10 Ω and 30 Ω are connected with a 12 V battery in…
- As shown in the figure the resistance are connected with a 12 V battery. Determine (a)…
- Find the electric current in the following circuit:
- Determine the equivalent resistance between points X and Y in the following circuit.…
- Two lamps of 100 W and 60 W are joined in parallel with 220 V lines. How much current will…
- An electric heater consumes 4.4 kW power when connected with a 220 V lines voltage then,…
Exercise
Question 1.The SI unit of electric charge is......
A. ampere
B. volt
C. watt
D. coulomb
Answer:In SI unit system, charge is measured in Coulomb(C)
Charge on electron = -1.6 × 10-19C
Question 2.What number of electrons will be there in 1.6 C charge?
A. 1017
B. 1018
C. 1019
D. 1020
Answer:As 1C =
Electrons
Question 3.1μA = --------- mA.
A. 10-16
B. 10-3
C. 103
D. 106
Answer:μA = 10-6A
mA = 10-3A
Question 4.Which of the following materials has more number of free electrons?
A. Copper
B. Glass
C. Rubber
D. Iron
Answer:As metals has most number of free electrons and from the choice above copper and iron are metals.
But when we know that more the current flowing in a conductor more are the free electrons. So, copper being a very good conductor has more number of free electrons.
Question 5.According to Ohm’s law,
A. The resistance increases with the increase in current.
B. The resistance increases with the increase in voltage.
C. The current increases with the increases in voltage.
D. The resistance and current both increase with the increase in voltage.
Answer:The Ohm’s Law state that, the potential difference (voltage) across an ideal conductor is proportional to the current through it. The constant of proportionality is called the "resistance", R. Ohm's Law is given by: V = I R where V is the potential difference between two points which include a resistance R.
Question 6.The formula for an electric current is -----.
A. I = Qt
B. I = ![](data:image/png;base64,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)
C. I = ![](data:image/png;base64,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)
D. I = Wt
Answer:Electric current means rate of flow of an electric charge.
Question 7.The amount of 2 A electric current is passed for 1 minute through one conducting wire. How much total electric charge will pass through this wire?
A. 2 C
B. 30 C
C. 60 C
D. 120 C
Answer:1 minute = 60 sec.
I =
& I = 2A.
2 =
. So, Q = 120C
Question 8.In an electrical appliance, the electric current of 4.8 A is passed, then the number of electrons passing through it in one second will be ------------
A. 0.33 x 1019
B. 3.3 x 1019
C. 3 x 1019
D. 4.8 x 1019
Answer:Given I = 4.8 T = 1sec
Using I =
we get Q = 4.8C
Since 1C =
electrons
So, 4.8C =
= 3 x 1019 electrons
Question 9.Which of the following formula represents the voltage?
A. ![](data:image/png;base64,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)
B. ![](data:image/png;base64,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)
C. Work X electric charge
D. Work x electric charge x time
Answer:Voltage is defined as Work done per unit charge.
V = ![](data:image/png;base64,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)
Charge = I x T
Question 10.The unit of electric potential difference is ---------
A. J
B. J/C
C. 5 V
D. 45 V
Answer:Voltage is defined as Work Done per unit charge.
V = ![](data:image/png;base64,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)
Question 11.If the work is to be done to take 3C electric charge from one point to another is 15 J, what will be the potential difference between these two points?
(A) 3 V
(B) 15 V
(C) 5 V
(D) 45 V
Answer:We know that potential difference b/w any two points is work done to carry charge from one point to another. So,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Question 12.The resistance of one conducting wire is 10 Ω. How much electric current will flow by connecting it with a batter of 1.5 V?
A. 0.15 mA
B. 1.5 mA
C. 15 mA
D. 150 mA
Answer:V = I x R
V = 1.5V & R = 10 Ω
Hence 1.5V = 10 Ω x I
I = 150 mA
Question 13.On which factors does the resistivity of conducting wire depend?
A. Length of wire
B. Area of cross-section of wire
C. Volume of wire
D. Material of wire
Answer:Resistivity depends only on material of wire.
Question 14.If the five equal pieces of a resistance wire having 5
resistance each is connected in parallel, then their equivalent resistance will be -----
A. 1/5![](data:image/png;base64,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)
B. 1![](data:image/png;base64,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)
C. 5![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABUAAAAUCAYAAABiS3YzAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAFFSURBVDjLY2hsbGSgNmYYEEOBgBEdk21oVlaokbux3CxZBobXQIP+QbDsa1lZk+1ukTneaeXlvEQbWl6exgsyDGjIfwZZ45OReXmGMLmGvDyJKGPZXoic0SmXrGojgoZ2dKTxeMgw7AFrkvHYk9bRwYNNU160aQRYDYPsG4+8ekO8hjZEG/tAFBvfja2vl8QXblHGDAvBao2jFuI1FJ9CdIxwAKZrsXpd1i2nmJCh9XkehsBIfANSbxzd4ENlQ/G4FNn7pBmKGf7YFeKJeRjOcZMtJiqikBWjhxNqWo6VMmZguMsg67Ebm+UMuNKhHIPcDVmP6Hp0TXnRHl6gXCZrHNWLyzcoXjd2y0tBzuP1kca+yOFbXx8raWzs0Q3KojA11VkuRiB9OA2FJRFkjGIoEWqwGYpUeEAxUkTgUoPT0KFfSJODAWmxRGVdzpv7AAAAAElFTkSuQmCC)
D. 25 ![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABUAAAAUCAYAAABiS3YzAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAFFSURBVDjLY2hsbGSgNmYYEEOBgBEdk21oVlaokbux3CxZBobXQIP+QbDsa1lZk+1ukTneaeXlvEQbWl6exgsyDGjIfwZZ45OReXmGMLmGvDyJKGPZXoic0SmXrGojgoZ2dKTxeMgw7AFrkvHYk9bRwYNNU160aQRYDYPsG4+8ekO8hjZEG/tAFBvfja2vl8QXblHGDAvBao2jFuI1FJ9CdIxwAKZrsXpd1i2nmJCh9XkehsBIfANSbxzd4ENlQ/G4FNn7pBmKGf7YFeKJeRjOcZMtJiqikBWjhxNqWo6VMmZguMsg67Ebm+UMuNKhHIPcDVmP6Hp0TXnRHl6gXCZrHNWLyzcoXjd2y0tBzuP1kca+yOFbXx8raWzs0Q3KojA11VkuRiB9OA2FJRFkjGIoEWqwGYpUeEAxUkTgUoPT0KFfSJODAWmxRGVdzpv7AAAAAElFTkSuQmCC)
Answer:When resistance is connected in parallel we use the following formula
![](data:image/png;base64,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)
Question 15.The unit of resistivity of the material is –
A. ![](data:image/png;base64,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)
B.
m
C.
/m
D. m/![](data:image/png;base64,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)
Answer:R(Ω) = ρ x ![](data:image/png;base64,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)
Question 16.What will be the resistance between points A and B of the following electric circuit?
![](data:image/png;base64,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)
A. 1 ![](data:image/png;base64,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)
B.2![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAABUAAAAUCAYAAABiS3YzAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAAFFSURBVDjLY2hsbGSgNmYYEEOBgBEdk21oVlaokbux3CxZBobXQIP+QbDsa1lZk+1ukTneaeXlvEQbWl6exgsyDGjIfwZZ45OReXmGMLmGvDyJKGPZXoic0SmXrGojgoZ2dKTxeMgw7AFrkvHYk9bRwYNNU160aQRYDYPsG4+8ekO8hjZEG/tAFBvfja2vl8QXblHGDAvBao2jFuI1FJ9CdIxwAKZrsXpd1i2nmJCh9XkehsBIfANSbxzd4ENlQ/G4FNn7pBmKGf7YFeKJeRjOcZMtJiqikBWjhxNqWo6VMmZguMsg67Ebm+UMuNKhHIPcDVmP6Hp0TXnRHl6gXCZrHNWLyzcoXjd2y0tBzuP1kca+yOFbXx8raWzs0Q3KojA11VkuRiB9OA2FJRFkjGIoEWqwGYpUeEAxUkTgUoPT0KFfSJODAWmxRGVdzpv7AAAAAElFTkSuQmCC)
C. 5![](data:image/png;base64,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)
D. 10![](data:image/png;base64,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)
Answer:Since all the resistance are in series, so total resistance will be sum of all the resistance.
Question 17.What will be the equivalent resistance between points A and B of the following electric circuit?
![](data:image/png;base64,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)
A. 4![](data:image/png;base64,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)
B. 8![](data:image/png;base64,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)
C.2![](data:image/png;base64,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)
D 16![](data:image/png;base64,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)
Answer:The two 4Ω resistance are in series & are in parallel to 8Ω resistance.
![](data:image/png;base64,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)
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R1 = 8Ω & R2 = 8Ω
Question 18.The equivalent resistance between points A and B in the following electric circuit is. ---.
![](data:image/png;base64,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)
A.2.5 ![](data:image/png;base64,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)
B.5 ![](data:image/png;base64,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)
C. 12.5 ![](data:image/png;base64,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)
D. 20![](data:image/png;base64,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)
Answer:The two 5Ω resistors are in parallel which is results in 2.5Ω in series with the other two 5Ω resistors.
Parallel
Question 19.Which physical quantity has a unit of kWh?
A. Work
B. Electric power
C. Electric current
D. Electric potential.
Answer:It is called kilowatt hour and is a unit for energy and is especially used in electricity bills.
Question 20.1kWh = --------joule
A. 3.6 x 106
B. 3.6 x 103
C. 3.6 x 10-6
D. 3.6 x 10-3
Answer:1 kilowatt hour
1 hour = 3600 seconds
1killo = 1000
1 kilowatt hour = 3600000 = A. 3.6 x 106
Question 21.An electric heater consumes 1.1 kW power when 220 V voltage applied to it. How much current will be flowing through it?
A. 1.1 A
B. 2.2 A
C. 4 A
D. 5 A
Answer:Power = Voltage x Current; Power = 1.1kW = 1100W
Voltage = 220 V
Hence, Current![](data:image/png;base64,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)
Question 22.What makes the electric current flow through electric solution?
A. Only free electrons
B. Only positive ions.
C. Only negative ions
D. Positive and negative ions.
Answer:The solution that conducts electricity are called “electrolytes”. In electrolytes, the electric current flows due to both positive and negative ions.
Question 23.The distilled water acts as ----- for the electricity.
A. Conductor
B. Insulator
C. Semiconductor
D. None.
Answer:In distilled water there is no free positive or negative ions hence it acts as an insulator.
Question 24.What is an electric charge? Give its types and write is unit.
Answer:Electric charge is the physical property of matter that causes it to experience a force when placed in an electromagnetic field. Electric charges are of two types: Positive electric charge (proton) & negative electric charge (electron). Electric charge is an intrinsic (independent) property of electron and proton like mass.
The SI unit of electric charge is Coulomb.
Question 25.What is a free electron? Explain conducting and non-conducting materials in terms of it.
Answer:In atoms, electrons move around the nucleus where protons remain bound. In some material like metals, under normal circumstances, the attractive force between the valence electrons (outermost ones) and nucleus is comparatively very small.
During the formation of metallic materials, these electrons get separated from their parent atom and move in a random manner. Such electrons are known as Free electrons.
These free electrons are responsible for their electricity conducting property.
Question 26.Give the definition of an electric current and define its unit.
Answer:The net quantity of an electric charge flowing through any cross-section of conductor is defined as electric current.
Thus, ![](data:image/png;base64,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)
The SI unit of current is Ampere (A).
Question 27.Give advantages of series and parallel connection of resistors.
Answer:The total resistance of the circuit increases by connecting the resistors in series hence, the current decreases. Thus, to control the current in the circuit, series connection of resistors is useful. Moreover, the fuse is always connected in series with the mains. Therefore, whenever there is short circuit in any electrical appliance, the fuse wire melts and stops electric current. As a result, damage to electrical appliance can be prevented.
Whereas, the advantage of parallel connection is that when we connect three bulbs in parallel all will get equal voltage and therefore will give equal amount of light irrespective of each other. Secondly, if any appliance is affected/fused, it will not affect the other appliance. When we need more current we use parallel connection as resistance gets decreased resulting in more amount of current.
Question 28.Write Faraday’s laws of electrolysis.
Answer:On passing the electric current through electrolytic solution, negative charge moves towards positive terminal and positive ions towards negative terminal. This process of separating the ions is called electrolysis.
Faraday’s First Law – The mass of substance (metal) deposited at cathode on passing electric current through electrolytic solution is proportional to charge passing through it, M ∝ Q
Faraday’s Second Law – For a given amount of current passed, the masses of different elements deposited on cathode is proportional to their chemical equivalent (e).
Question 29.What is an electric potential? Give the definition and unit of electric potential.
Answer:On bringing some electric charge near any other charge, an attractive or repulsive force exerts on it. Thus, the work is to be done against this force keeping a charge in equilibrium and to move another near or far from it. This work is stored in the form of potential energy. This work done on the charge is called as an electric potential.
The Work required to bring the unit positive charge from infinity to any point against electric force is known as electrical potential at that point.
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)
The SI unit is joule/coulomb or volt (V).
Question 30.Explain the series connections of resistors and derive the formula of equivalent resistance.
Answer:The resistors are connected across two points in the circuit in such a way that the current flowing through each resistor is the same and only one path is available for it to flow, then the resistors are said to be connected in series.
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From the figure, if voltage drops across R1, R2 & R3 are V1, V2 & V3 respectively.
Moreover, same current I is flowing to all the three resistors.
Using Ohm’s Law
R1 voltage drops across V1 = IR1
R2 voltage drops across V2 = IR2
R3 voltage drops across V3 = IR3
From above three equations
IR = IR1 + IR2 + IR3
R = R1 + R2 + R3
Question 31.Explain the parallel connection of resistance and drive the formula of equivalent resistance.
Answer:When more than one resistances are connected across two points in the circuit such that more than one paths are available for the current to flow and voltage drops across two ends of each resistor are same, then the resistors are said to be connected in parallel between these two points.
![](data:image/jpeg;base64,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From the figure above, suppose the current flowing through resistors R1, R2 & R3 are I1, I2 & I3 respectively.
Hence, I = I1 + I2 + I3
Using Ohm’s Law,
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
And ![](data:image/png;base64,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)
From the equations we get,
![](data:image/png;base64,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)
Question 32.Explain electrical energy and drive its formula.
Answer:Electrical energy is the energy newly derived from electric potential energy or kinetic energy.
Suppose the electric current is flowing through some resistor (R). To flow this current continuously the battery has to provide energy to every electric charge. Now, the work required to keep the charge Q in motion by the battery of voltage of V is
W = VQ
From the definition of electric current,
Q = It
.: W = VIt
According to Ohm’s Law, V = IR
W = (IR)(I)(t)
![](data:image/png;base64,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)
The above equation is called Joule’s Law.
Question 33.Draw the figure of voltaic cell and explain its construction. Explain flow of current in conductor through this cell.
Answer:A voltaic cell is an electrochemical cell that uses a chemical reaction to produce electrical energy.
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As shown in figure, take solution of dilute sulphuric acid (H2SO4) in a beaker. Dip one copper plate and another zinc plate in the solution in such a way that they do not touch each other. These two plates get electrically charged due to the process between these two plates and the solution. The positive charge at copper plate and negative charge at zinc plate get deposited. Thus, electric potential difference is produced between two plates. Positive charge plate is called positive pole of battery or anode and the negatively charged plate is called negative pole of battery or cathode.
Such a simple battery was invented by Italian Scientist Alexandro Volte (1745-1827). Therefore, it is called Volta’s Cell.
The electrons flow from cathode towards anode.
Question 34.What is electrolyte? Describe the experiment showing flow of current in electrolyte.
Answer:An electrolyte is a substance that produces an electrically conducting solution when dissolved in a polar solvent, such as water. The dissolved electrolyte separates into cations and anions, which disperse uniformly through the solvent. Electrically, such a solution is neutral. If an electric potential is applied to such a solution, the cations of the solution are drawn to the electrode that has an abundance of electrons, while the anions are drawn to the electrode that has a deficit of electrons
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5gBH51dimjnTdDIki9Mq2RWDcQ3t3J5lz4c06aTGN0k6scfUpVNtDYyO6+GrSNnOSIr4oCfoqgUAdYRWHL4O8PTO7zaPZu8jbnLRA7j6n86zY9H1OBStvbXcMe4sI01Y7Vz6ZQ0R2niuAMsM7eXklRLNHIw9txTmgC3L4F0Jbj7ZZ6dbW97GhWGUJkRt/C23oSCBirXhzQDoVtP59z9rvbuUzXNyUCGRu3A6ADpTdCfxD80euQWeBnZPBIct6blxjP0rcoAY8scWPMdV3HA3HGT6UqyJIMoysOmQc15xaaXB4n8f66viVifsLKtpaNLhAhHEoGevTnsTWbD4km8JarbeH9AubW8sElOZZAXy0m5iHcYAII4x170AestIisqsyhm6AnrS145JqnibWdR8N6sY9KWecTGzYuwCjZzvHQcdKnt/idrmpWdzqVpHp8EWnojT2kgYtPubbuVuwGR+tAHrlVr3/Vr9a4Twn4z13UvFC6fqq2XkSNcKPJzlTGRx7jnAPetnxxq+paZFpsWlfZDNeXIgH2jOASCc/TinHcmSujWoyM4yM4zivM1+IWsWdm2q3yWM1pHO1nJaRZV1kA4fceoJBrPPiXV9NutSv457OfUby3t3jVDlVViSQqk/MRwDW3OjBU2euUVk+FtQuNV8NWN7dyRyTzJudo12rnJ4x7dK1qoh6BRRRQAUUUUALpOpWZgtrL7TF9qESZiLDd90dq1K5vUtLt77wmJXRVuILYSxTAfNGyrkEH8K1tEvGvdEsrqYjzJYVZiO5I5rne51rYv0U3evrRvX1pDFb7p+leUWf8AyIeo/R//AEZXqrONp57V5VZHPgLUfo//AKMoA9Ug/wCPeP8A3R/KpKigYfZ4/wDdH8qfuHrQA6uEl/5KXe/9cYf613O4etcNL/yUq9/64w/1oA2vBP8AyBJf+vyf/wBGGuhrnfBTAaJLz/y+T/8AoZroN49aAHUlJuHrWH4wmddEEUUpj+0zxwMy9QrNg4/CgDUt9Ss7ueSG3uIpZIvvqjA7atVUsNMtdMt1gs4I4kUY+UYJ+p71aoAWiiigDG1jwno2vzpNqlhHPKi7VfJVsemQRmorvwT4evSPtGk27YiWEYBXCg5A4/n1reooA5s/D3w0bVbY6VH5KOZFTzH4YjBPX0FWG8G6BJLbSPpVqWtk8uL5eAvoR0PXvmtyigDnrLwH4d06+ivbPS44rmJt6SK7ZB9euKl8ReHNL1xYW1O0W4MJPlksw2569CK3Kq3v+rX61UdyZ/CznD4U0Rrt7ltMt2mdAjFl3AgDHQ8Z469aqr4B8NLGyDSYcNgn5mzx6HPFdDRW9kc12Q2lpBYWkVtaxLFBEu1EUcAVNRRQIKKKKACiiigBkgz4PlA6myP/AKBTPDbr/wAIvpYDL/x7oMZ9qfJ/yKEmen2I/wDoFc3oARtO0z7NGI38hAWeBjzjk56Vz9Tqbsjsy4Gckce9G4AZJAHbJrC1Ywuy5i3SnqWiZx+lPuwDpUKzqjsPu4iYqB7qOasi5stIojY7gBg854rzCx/5EHUB3w/T/rpXbRYXQ5gyoVIO1BCwH4qea4LSUI8CauOFXY38BH8dRIpHqkMgMEYyPujjPtTy4x1Gc4xmuf0cBJ1KRqv7sciBlP5mmoif2qG8tM7+v2dwfz6VRNzoS4A5IB9M1xzn/i5N7/1xh/rWlqAB1PLohHHPkux/76HFc5qqCT4gXPyKwEEP3omcd+w6UpDjqdL4NYLok+SB/pk//oZrd3gjORXF6CpbwsVwu37bNlTEzfxHHA5FbcYzorCFVUfxbomw30XrTS0EzaDj1B+lYXi5w2nWYUgn7fB0P+1T9N2rBOIUWOcjl/KZVP4HrWBq/kiC1DRgSm/g2skLoB83PWgaZ6FRRRUGgtFFFABRRRQAUUUUAJVe9/1a/WrFVr3/AFS/WqjuTP4WUzRRRW5yhRRRQAUUUUAFFFFADJP+RPk/68j/AOgVzGlSKNM0z7W0ePs8eNjSZxjjgcV08n/Iny/9eR/9ArltDuAum6ctvOHbyE+RrgjnHI24rKCuzao7RRtaq7hE3GIRDoWaQH/x2myOh0pPJKGI/eLF/wCnNR6lPGhQ/aNkh6oZzGP0FLdS/wDEvieSTy3424nI3f8AAsc1rYy5tB8DoNKm8ll3AHdkvj8z81cPpJU+A9WIYElG/vf3/eu1S4J0mR3kAUA7XExOfq2M1xelMW8A6rll+4wP7zOPnrOSNaUtGdlo7xi4UBk3bP4WkJ/8e4oSUDVfvR7t5/jlyP6U3Sp/MmVfODgJ0FwX/QihJwdS2ibPznj7ST/47irSVjNy1FvnX+0RhkDHH3jID+nFYOoMB8QLncV/1MPDM49f7tbt9OEvirTbenAuCv8A47iufu5Qvj65bzNv7iH5jMUz17jrUTSLpy1Rd0OSMeHfnIBN5Nj5pAPvHuOa2yyf2OPOKYA+RlZ/wz3rE0O5KeHXIcBPtk2Xacr/ABH+LHNbCT40wtC4ck/MzTn5fo1WloS5asfZsv2Cbzin2f8A6Zl8/rz+VYepsTaWojaHyhfwZw0hP3uPvVs6fOWhmeOQSygcoZy4H4kcVi6pPHIlmGuCZPt0G1ftBcH5vTFKS0CL1PRe9FFLWB0iE1RbW9NScwtfWwkEgiK+YM7znC/Xg8VR8Z6rc6L4U1C/sgPtEKfISu4DJAzj2zmvJbfV7TT5bs2+tR3JbUrWY3E0QJlXaN7BsfKQc++KAPds1mSeJdIhcpLqNsjCc2xDPjEmM7frg14mNd1LWZNUmuddvJIbW6ikQxHEOwygbvYAcgVrprWmvdp9t1KyuHXxIsrS7VUSQiMDzCBxjPU+tAHr9jqVrqduZ7GeO4hDFN8ZyMg4IpJ9TtLW7t7W4uI47i5JWGMn5pCBk4FeI2PibVFkNhpGq2unWcVzPcpITkTt5hIQADPIPC96v6Rr1zrHjPQrvWb8rqEV7LDLYtHsEA2HaQOvOcGgD2nNVr3/AFa/WsfxrNrFp4anu9CmEd1bfvGUxh96D7wwR1xz+Fecw+N/E2qaReyiWaMWkTzu4t1JKuq+UOB/vEn0px3Jlqj1I0fhXikXizVI47Z5NWuDLBJL5acSkkxjZkgfNkkipE8X64sdubjxDEp1CVS5VR/omDghgRgdOgNa85j7Nns9FVdMUppdqrXZvD5a/wCkED97x97j1q1VmYUUUUAFFFFADJP+RQk/68j/AOgVyWkSH+zdOGXt18hBkSIAeOuOtdbJ/wAifL/15H/0CuN0tG/s3Ti6POPITgRoe3rnNRSV2aVvhRt38zqEAV1A/jEirn86SWUrpyYZ5Dnl/MUFfx6VFqG5wpDEr/cEan+dEvOnoApQ912KSfwPFb2OXmJYnP8AZ0rbndsNw0ikr+PSuD0zVLNPB+pWj3P+kMCqxk5JO7tgV28JP9nSLtaMjP8AAo3fQDim2CEJKroQSOGMaL/KolTu0aRq8tx2mSN5ygs5GzhS6N/Kljlb+0MFnwWP/LVMfl1qOwDLdHKkZHUxooH4jmmoH+35IbG88+WmPz61SjoQ5XZLeSsLzCu+MjgSoB+RGa53U9Sg0/xzcSXEzQB4YudwXPXPJFb12pN6MK2OORGjD8yc07UMtJHtQnjBcRq3/oVTOFyqc+VoztClD+Ht6O6h7mV1w6qWBbjk9a1ZN02lFWklgJOQ6SKGP49KZdBvscQ2s7DuqKcfgeKAWGmlWV5PRdi5X8OlVyWJ57u5Da2RlhkZ9Q1GJV5D/alI/QYrJ1O2cpbf6VeuDeQrvN0pC5brgDrW5Z5S1k3BnB/5ZbFB/IcVlX6vtsyWKD7dD8nlqu75vapnGyNITvI7T/hH/wDqK6r/AOBP/wBal/4R/wD6iuq/+BP/ANatalrlO0pWmnLawyRPPcXSSdRcvv49PpR/Y2m+X5f9nWmzOdvkLjPrjFXKWgCrHptlDFJFFZ26RycOixKA31GOaj/sPS/+gbZf9+E/wq9RQBUTStPj27LG1XY29dsKja3qOOtO/s+z+1fafslv9oznzfLG/P1xmrNFADXRXUqyhlYYII4IqlcWlvbxfubeKMNhW2IBkAYAPtir1V73/Vr9aqO5M/hZlrY2iEFLW3UrjBESjGOmOO3amtpti4IaytWBbcQYVOT69OtWTRW5y3EVVRFRFCqowFAwAKWiigAooooAKKKKAGSf8ifL/wBeR/8AQK4jR1zp9gYYgjeSuWa23c467s13aRNceGPJj+/Ja7R9SmK870u5ia3ggujEJbdRFLHh96EcYPbNKj8THiL8qsbWohZCv7rc4/j8jzP6064BNhHG6h24wRBkD/gOeKi1F/lXeYvK9CGJ/SmyPF/Zy+SY/L/i3BiPy611WOG7RPECNOdGQEHPyCDGPqueaNOBSObKgA8ECDyz+Wearwun9nPsaMevDAfl1pbBkxIV8semFYfzotsLmJNPTZclvLVRt7W/l/rmmRKRqG/ylwHPP2Yj/wAezUenyRi7bmPdjqoYfzNJFJH/AGjktFncf4XB/niiw+YnvFLXu4xhgcc/Zd+P+BZp+oqzlMIGUL0Nv5mP14qtdvGL3rFu4wWDn+RxS6k0ZePmMtjnKsfywaA59i1cqWsowqDaOqGDd/47mmqudPdEUKR94NBwf+A5qG8eP7NEZDGW/h4YgflzQXjOmjztm3HyBQ2P8abBSZPZKFgkWOMRS/3vI2A/hnmsq+UKbPzIfn+3Q4cW/lgfN65q9ayJ9jk8wxeVjogYfz5rNBF5qVhY2jRu73ccjIivlVU5JJPFZVLcprRbcz1WlpBRXCeoLRSUUALRSUUALRSUUAFV73/Vr9asVWvf9Wv1px3Jn8LKZoooroOUKKKKACiiigAooooAZZSyLY24VsDyk4/4CKp32habqU/nXlnFJL3fG0n6kdat2v8Ax52//XJP/QRUtJaDbZjf8Ilov/Pgv/fxv8aP+ES0TOfsCZ/32/xrZoouSY3/AAiWiZ/48F/7+N/jR/wiWif8+C/99t/jWzRTuFjG/wCES0T/AJ8F/wC+2/xo/wCES0X/AJ8F/wC/jf41s0UXAxv+ES0T/nwX/v43+NH/AAiWif8APgn/AH23+NbNFMLGMPCOiDpYKP8Agbf40f8ACJaJ/wA+K/8Afbf41s0UrhYxv+ES0TP/AB4L/wB9t/jV6w0yz0oN9hto4S33mUfMfqTzVukoeo9tiQTy/wB80efL/fNMopcqHdj/AD5P75o8+T++aZRRZBzMf58n980efJ/fNMpKVl2DmZJ9ok/vmjz5f75qOlp2XYXMx/ny/wB801pHfG5sgUlFLQfMxKKWincQlFLRRcQlFLRRcBKKWii4H//Z)
Setting up the experiment as shown in the above figure. When we switch ON the circuit we observe that the bulb does not glow.
On adding some salt in the distilled water, we observe that the bulb has started glowing.
Question 35.Write Ohm’s law. Describe the experiment showing Ohm’s law and write its conclusions.
Answer:•In the definite physical situation, the electric current flowing through the conductor is directly proportional to the potential difference applied across it is known as Ohm’s Law.
•To verify Ohm’s Law experimentally we set up the following circuit
![](data:image/jpeg;base64,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)
In the following circuit, we have taken 0.5 meter long nichrome wire, four to five battery of 1.5V each, Ammeter and key.
•Now, when the key is ON, the current will flow through the wire. Measure the current in ammeter and potential difference across the two ends using voltmeter and note In the following table
![](data:image/jpeg;base64,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)
•After this, plot the V vs I on a graph paper, we will observe something like this
![](data:image/jpeg;base64,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)
•We will observe the following points
1. The electric current in the conductor increases in same proportion with increase in voltage.
2. I-V is a straight line
3. The ratio of V and I remains constant every time.
Question 36.What is electroplating? Explain it with example.
Answer:Electroplating is a process that uses an electric current to reduce dissolved metal cations so that they form a thin coherent metal coating on an electrode.
To understand experimentally, let’s take a solution of copper sulphate in a beaker. In this solution, the iron spoon which is to be electroplated and a copper plate are taken as electrodes and are connected with battery and key as shown in the figure below.
On passing the current, the CuSO4 which electrolyte in the above case is decomposed into Cu2 + and SO42-. As Cu2 + is positively charged, so it moves towards negative terminal i.e. Metal spoon and deposits on iron spoon. Thus, on iron spoon the plating.
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)
Question 37.If 400 mA current flows through the bulb for 1 minute, how many electrons will pass through it?
Answer:Given
Current (I) = 400mA = 0.4A
Time (t) = 1min = 60sec
Formula
![](data:image/png;base64,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)
I = current
Q = charge
T = time
Q = I x t
Q = 0.4A x 60 sec
Q = 24 C
Since 1 coulomb contains 0.625 x 1019 electrons
Hence 24 C contains 24 x 0.625 x 1019 electrons
= 15 x 1019 electrons
Question 38.The 1800 C electric charge is passing through an electric bulb in one hour. How much current will pass through an electric bulb?
Answer:Given
Charge (Q) = 1800C
Time (t) = 1 hour = 3600 sec
Formula
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADEAAAAqCAMAAAAtU0N2AAAAAXNSR0IArs4c6QAAAGZQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6Oma2OpDbZgAAZjoAZpDbZrbbZrb/kDoAkNv/tmYAtmY6tmZmtpA6tpBmtv//25A627Zm27aQ2////7Zm/9uQ/9u2//+2///b+0lQJgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAA0ElEQVRIS+VVyw7CMAxrxmMFBqN0vNey/v9P0lA6iQOSM0AgkdMOce3ESabUD8V5STSuBYKORa3CjhYwxGvODabYoBCbUh1MEszowAivS5Cjq6Ytp3bV5xByVaqvfA3WkZtkUwOgsHRzEKaI5u010QT2L6nwOrVYEI7K9rKKs0KE2nLSNI80uI9ZTjAoxRcRlnI83R6kjv6V+MGr+GLlb1L1OBhiByVTIpjBYal+JtwO5fB7mCQ17KJgzfmCSjn+GMG/qa3MxIYKwREdNlh31BUauQsppBVDqQAAAABJRU5ErkJggg==)
I = current
Q = charge
T = time
Calculation
![](data:image/png;base64,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)
Current = 0.5A
Question 39.The three resistance of resistance 5 Ω, 10 Ω and 30 Ω are connected with a 12 V battery in parallel. Determine (a) total current in the circuit (b) equivalent circuit resistance.
Answer:Given
Battery = 12V
Resistance (parallel) = 5 Ω, 10 Ω and 30 Ω
Formula used
Parallel Resistance formula
![](data:image/png;base64,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)
Ohm’s Law
V = IR
V = voltage
I = current
R = resistance
Calculation
To solve part (a) we first have to solve part (b)
(b) Equivalent resistance
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Hence, R = 3 Ω
(a) Total current
![](data:image/png;base64,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)
I = 4 A
Question 40.As shown in the figure the resistance are connected with a 12 V battery. Determine (a) Equivalent circuit resistance (b) Current flowing through the circuit.
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQAAAADICAYAAAAHvj8LAAAAAXNSR0ICQMB9xQAAAAlwSFlzAAAOxAAADsQBlSsOGwAAABl0RVh0U29mdHdhcmUATWljcm9zb2Z0IE9mZmljZX/tNXEAAHNOSURBVHja7X0FfBzn0X7SpE0KaUMNU9tQm7ahtmm/fm3z/QspN2mTYjgNOXHMzMwxMzPbkmXJtmwLzSCzLUuWLctiOh3fLT3/mdnd0+osGRInke0d/17fafl2d56Bd+AKuHRZkGEY0DRNvtfW1qJXr15o06YN2rVrh7Zt28rYtWsXdF1HJBKRzwtF8+bNw5///Ge0bNlS/vb7/XjppZdw++234+abb8bkyZPl+vic/MmDqaioSK7vySefxB133IGbbroJf/jDHzBo0CBEo1H5PYqiXNBrvZzoxIkT6Ve4t+HyAQBVVYVZmGnGjRuHK664AnPnzsWCBQvk+0//56eorqqKbX+24zU2GqMe3bvjyiuvRIv33pO/d+zYgWuuuQYDBw0UULjuuusEJOxrZIpEI/j1r3+Nq666Ck888QS2b9+O+fPn48abbsS1114rAMbkMr8LAC6dJwgwbd26FZ///OdFytbV1eGrX/sabrn9NhQWnzIZK57RHctCoRBWLl+BxJUJSExIRAJ9Ll+xAqtWrRLtQfZniW4BgqJrePwHT+LNN96Qv3/3zG8FEGZMn84nwG233YY+/fvC2lE+wqEwHnv0MVx91dVYsmRJ7Dd0bN9BwOql//xH/lY1AjW4IOACgEtnJVabeTBt2LABX/ziF/H222+j5Qcf4Etf+yo69OyGulAACrF7FEYMAFjV1ujviAUChYUn8Y2778X1X/kqbrr+Btx808340pe/hLvvvptfKpMxGWxYpefz0vjOk4/jvbfekXW/evr/8KOnfoQjh48g7A/illtvRZ/BA02QUclMoS/RYBQ//cn/4qorP4/VSatj2kWPTl3xeQKAFv/9rwUuZApAcx+uCwAunY1sm5lp48aNYn/fc889Io1ffullEr46i1RERaoaMDmSJDntx9LcoO9GREXQ58eG1PVITliFNYnJWJ+8FmtXrca6tevg9Xqh0XHE3GBmpkPyfk+QBvDG66YG8JNf/By333E71m5YDyUSxV133one/UwNQLNUel0zMGvufNxwy634ydM/x449OSgvL0frVq0IFK7EW6+9Zv4og6BJU9yH6wKAS2ciW/23TYAtW7bgK1/5CrKys/B+i/dx2/U3Y9qYCabEJ85X7f2IEXmoBALMyKyyl5VX4IEHHxQt4KF7viXjG3fcjYcefhhlFRWm1KfzGCp9U03H3hNPPoEW774r39t07ihq/My5c+RvNgH6Dxwo51Os6wsGQ/jN736P6wmkbr37Tnzz4Qfx4CPfxl333I0bvnY93nvH1CZoh5jZ4JILAC6dgWwnIHvhW7RogS984Qvo2bMn9u/eh5u+fAOuu/pLGDZ6jKjsimX761FifEUXQBBFm3itylOH4WPHYODQYRg9agyNsRg6ZBg+HD0atf6A7BsmxmcpzrRk2TLcTlL+8e8/il07dyEYCePrt98mMwP9+vQVIBo0ZLBsq2msexgEAEHxAdxK5sEtt9yCG26+CV+96UbcRmDwpeu+gldeftn8USGS/poLAC4AuHRGsqfZmMrKyvAwSev77/8WfvDkkygtKUP/PgNx69dvwzN//BM8BBBdevfGO++8j3AoIpKfmVqh/VnYqmfgN16lEGDwqVTLbn+/TWvcSir/XbffgUVzF8iymVOn455bbsctN9yEv/31bzh16pRcnxY1JXqYgOQPv34Gj9z/IH786JN47DvfxaPf+z6+/9ij4mto366d6ZwkwNBV1X3ALgC4dDYSBmN7nj5ramokHsDj8QjTqsRIldU18Hn9SM/MxB233YVHv/+42P4RRYNC63kbBgCN/ovSsijZ+iH6HmGJLxqD6cSLhhXTkUfMzFqDPxxCRU01PLUeRAMRWmE67TyVdA1V1YiErZkDlv40xG9An54K2qeqFr5Kus6KGtRVe+Saq6qq5Pp5BoB9BoZrArgA4NJHJ2bgSAwlzI8WL/4XP3j8B/Iny1dmao2YnhncZlIm9huyqm/YG9q2gu74HkdGU3P3lo9Bb3y304/jOJVLLgC49BEpSgwZ5sFAoJns9MqLL4sNzn4DVrVDoTAUYrWAThKeGNX21gvjW55+1gxI+ydzAaIdiGBmniabwYiaMwlhPoah0qfRwNdgS30GB0WmHM31vH3Y0KztLK63hwUA7iSgCwAunQM1FanHbrewEkVIVRBUFXHCvfX+u3jqqR/JPjx1GKH1ARphmIJdoe10mRnQzJkD+lSFeSHMGyImZxAIq1Foqi47MQAE2WwQxubvmjC7EM8WsMlAx4wYJiCxZhKS7U3g0OxtXQBwAcCljw8A9fH3xEKqIuo3L9u6dyfu+8F3cMstN2Hj+rWybUhTUOfzwDT0eZisx2ypGArxNwECMb19DJ2OGTKi8NJym3FN/4Op5rMnkbUHA45rMmIXFjMHVDpmUAAAAi4xvV8zv7smgAsALp0jOePm7bgAhaMDtRBUfwgnVmVix7yV2Lt3L+YtmotF82Zjc1aasHCUmBlBBUWLNmDflMXQi6sBfxCqFqbFfshEYSCEA6s3YMusRUBVHTRiXh+xbi3pBJV0Dp/XB1SHcHTFRhxZuA5GcR3CPj8dJoBohPSGkCKRgUfWZuHgjBVQCkoFKJjJw3wNdnASL1BNzncBwAWAS5rOlGRzzseAHdRnxP7mqL9oNIJIJEx2fxCoCyG141BM/OtrQElFg/39BgEESXT9VBUyXuqCuX/9L/TcQhiRKJkCBADRABv6MGrqsKxrP0z4938R2ncISsBL9n4EtQQepXQOf4C2qwxjwTvdsPj1TkBBNdRAGIFICFHO6guG4TlVisWd+2PS716ENyOHPZSiOYTYxLAv3gYAM9DwIwFAY9rQx73PLgC4dMGJpXZ8mqy9rMkXmyfqreAYZnrmFfbyhxzOtQip9KpGMlWPCldFT5YioU0nzPz3S6jcnCn7BsVON6BoEnGL4uxNSH23NdLfeRe1yQnwax6oJLUNCd8nHaCmHImd22DOyy/gSDJpAQQc5syAfa2kcRzPx5K330fCWx8geuCYLA3JuUy9Pnj0KNZ17Ywp/3gB1Snr2faQ3cP2T9JMUwKabpoRjgSnpsCzKdMn/u/LLbPQBYCLCATsF5lffjuiz7m8wctuTtab9rhmBuWwyR4IheELBsXrX+uvg59Ud3/UJ4G/+5NSsKX/MOzrPxz5cxYQR4aF8eQwghgqts6dj23DRqNq2hxkDx6EupoyCRO2vXDR/Hxs6NUT2f16IX3CKGjsM7B4SmUfA13E/oWLsaP3EOzpPQJ5C1YxEsFLvyesqxLWW5yyAZsGDkLujCnYMX4y6EJjCUWqbqKAYeUlSNxAHDPH3zcbHJzb2feJnZt8P22AcDUAl5olOaWYs7DH+aEIJKyXmYan8EJKGBX+StSEa8nurkHSyNE4NncZQis3YEf/DxE+ccpUt1VzXi9IGsLinv2Qt3YjjJzDWPxBO5w4dNC8Jp77I0Y7nrgGm4eMgGdtKlb26o3qI7mmd18YkQCguhZr+w5G+cp1KJqdiMS2fREqrUUt2f9hVYNWXIFtg8ciZ9JUBLZkY2n7LjAKS8RRGLBmGRBRYjMPH4fsxCgbAGwwdQHApWbJ/DbT8yfH8gfInubUXs6/D4fDkqPPy3gE6XuElqkk8bVgFJqXbPWaEEIVtairqIFG+2ik+lcR8/v0AJT8Y1jdpTcK03YguDMPq9r1RtXufXK+gBai7YM4mZyO5bRcOVoM43glVvcYjO0rVpsXySaHN4j04RNxcBqp/oUVSOxL2sTyZPETaDQYTKp3HEJy9/7w789HXfZBrG7VF7V5xbHAn5rt+5HSvg88mZsQzT2I5Z17oCxrM6IhH0JR0gR4tqGmGhG/R/wO3nAQgWAEIRr2b3cOzifg+8KD7xPXPeDIR75/tgbA99CpTbkA4FKzIueLuW/fPnTo0AGdOnWSz/bt25827PXt2rZD+w9ao1trWvbme2j32jsY1KE7xvQfjLz9+4njCBRIsQ5FalGSugEJ3XsjcKwIemEVVvcahkOLST1XCGDCHviqipE+chJ2MHPXRoByHw4sSETy0LEIF5fQscgkKa5EUu9hqFi7GfBEcWBJMlYPHo1gBZkJqpmum7dkDZL6DYHKTsaCSmzoOQyF67LtH4pDK9ciZcCHhAS1hBZl2D5hGjJIG1C8VQRmddA8lchauAADOrdHm46t8F6H1mjToSPatGmHdu3aSvmw+MFlz+z7wt+7desmn3aRkcvV/ncB4BypOUgF++XkHP7f//73mDlzJlavXo2kpCT5TElJwZo1a7Bu3ToZa9eulXVrVq3GpvVpyFiVgnSS1jvXpmPeuElYv2w5FE81lEAtFF8V9kyYgtThxHg8TeePYseMJUgfMA7RElK/Q7UoytuL5b0GwE8SnL3ybJDX7sklCd0X+WkbgaAXgQNHsbL7YHh3kdofNBA5WoKFXfri1L7dYOefEQpg76jpWDd2PPQgnae0GunDxmLvjIW0Oiz2/6Ypc5A1Y7YZkxDy4tjyJCzs3hOoq6JjelC6bRPmde2OuWNGYc361ViZmoykdan0+9fK729s8L3h+8HfU1NT5X6988476NKli9xTOzfCdiZeTlqACwBNMPy51Ln7LEBo06ZNIt1Zpf1IRKr6ib0HMKXfAJTs2QOjpoqkfj7WkmaQtyqR1GQv9KiC8qwcbO42Ev7tOcSIfmQuX0iSeDpQ5a8/FjFs+uiJyJo2iSR2OSrWpSFl0Ciy6WvM9WR2rB09HluXLSAEC5OqfwQpHXoid+N6hBUPAU0dylJSsapzTwSP5UI/VUyA0gvH0jawU4FhD+XbcrCwaw949tB1kOq/bcpUbBk1XoqWfByaPn06Blr1B5zP150FcAkTJ06UHPkRI0age/fuWL58+WcKBE77PysrS9RXtmXPaV+YTniN5/AtZ5cRimDhyFFImjKNDPwgyjZsxJrWXcnmzoWihWU7lNVic/cPUbF8DVBUhoQRw3AwMYUD/MG1giJWWO6JtEyS0CRJC45hHwFExsTp4mgUoo9DJG2X9OtBwFGK42tJGnftg/DJE+BMAChB6Ln5WNa2E+oys1C4chVWtO6M6sMHEFECEp6snCjGyr4DkLt0OfQDh5HSox8KliebjklDixUu0c8CnPHPjjUoGwAa294FgMuYFi5ciBtvvFEq1jz44IPYvHnzZ35NtmRiAGjVqtU5AYAzXkaxvrOtLrZ2egamd+4CNb8AB2bNx9Yh40jN9ko4r7BTWEXOyNnYP2QivGuyhAmrd5HGoGhk3odRTRI9YIShnTqFpT17oHzVKqT3HIhDCaZTUJEUQRXVebmY37kDaQfrsGP8eDIt5slsgc42hBHh6qJYP3AoimfORc6H47Bv3DTopBnURXxm1F+ND5sJWPgaq1YkY1nLjlBzT8ZiHDgdOMzxDIZ+VhB1MvecOXNcAHABoGniUtlcMXfbtm0NGPCzIvvFzMjIwPvvv39eAKDYACDOLlVAwJeXj0V9+2L/3HnIGD4SuavWEBNFEWTJzIwZDKNk6VpsadUbe3uPwq7xM2BUV0uCTyHZ4sf9VfDqtJ0Wwb5ly5HQqTvSew+F52Cudb3Wf0oI2aRpZA4bhczBw1GwLh3BWg9C4TCiCu2vRpG/dAVS322H9NbdUckOQc5INKyw30AIpWnZyBw5Hml9R5D6PxWo9Jn1CQErxiEGb2e9fzbNmjXLBQAXAJqmpUuXSsXc3Fzzhf6snUN2MAs7Af/73/9KUYzzAQDVAgCNpCU74/SyUhxMSMDIV1/DnFZtUL17HzjiPqj5EY0SuEQD8O/ZhyUt2mH6v9/EiZWp7C0Dp/zURAIoZaefKOAG6mi7Yc+/hOQuA0kjqDAr+mgQBuZMv6OpGRj+wotY1rE7gidOSaWfcFRBiIt5kDbh27oD8//2KhJeb43wrlypLcDXHeXIJQ5GOlKAmW06YdyLb6Mmc5eUAONMQbkjkhCkypnOh6ZNm+YCgAsAZwaAL33pSzhw4ECzAADbB5CWliYAwHPZ50LOmhyiw5C0NCJk51dXIZJ7BEv79cGaEcOhnyon2z0If6QG/mAlSVYP9GANEkaNJhW+JyJ5xWZmnhYRaOHMPDM7j1ivpBLLug1C1vBpMGqIub1BmSkISuovZM5/VqtOyBgzWZJ9WGBzdCFtZYYjkxmys+dw5AyaCKPUb2kshszbcwwBqjxIHTsZK0jD0E+ZDsYADa5EJIUHdKVJAGgqwMcFABcAzgoAXKjy+PHjDRjwsybWAHgK61wB4LQXXLfDg7nQp4JTJ07g5LFjiPgC8jcvVzhIiHsH0Lb5Bw8jf/9BAgfVLOwhMcW6FO7k6r2sAXAyz4l9h1B0OB+aYubzKzy1BrNIiFrrw6FdOTiRl2cV/ICkBGtWzwAOSio6mo/ywiIzvNdS7xkAJOSZjnXyWAGO5x41y4zDUQ7gI/IrA8DQoUMbMP7lxvwuADTFJPQi8Bw6OwG5fVZzChT52ACABrU0TLPAahUmZb4M065WSEVXoxwlpxAjRuuZzbLt7Qg6a4oBajiKqBQPNZlaMbT6fRTNjMSzgoGcjGZ3HIoo9Y48G2ydkjsqBUkuXO1/FwBcAGiSBg8ejD/+8Y9SivrrX/86Jk2a1Gyu7WMDgCOZyA6BNawWXk4m4PUcXtxUeGxsuW7E5uA43FezJDSzv6QeO9EGjec0xM/DK3GM/knM07sA4AJAk3Tw4EHpkltQUICjR48iPz//tBf1YgYAW6OJ92vEd9q1I+ScTGhXFZZ1ZjkfSwvQTbOikRRbXqdx4ZG489nHsoEgBkZxTO7UwFwAcAHgUydnN51LBQCcTO1UueNbbTu3cWoDDRjGqO/nF89IwryKEmst5mR+JxjFM1/8sgvNnC4AuADQJDkln62ONpeX4+MAQGP58E4AaOx3OsEhnllizAvjjAzsPE88kDalETQFWK4G4ALAJ07N7UVwvpzr168XAOAGnJ/Gb2uMIeOLkHwUADrb72zqmi/Us2EAGDJkSKO/ywUAl5otAHBL748DAB/13GdijDg/X6Prmxs1BgBuTUCXmj3ZJsCnBQBNgYKTuR0Vuhtlfq0ZgsDUqVMbAED873IBwKVmDQAf1Ql4vhSvFrMNz3P6Md8A6ruB6fGcb32cKVvvswQAnu51AcAFgIuKOBSYAeBccgHOh4wmRjwA8FResAkA0FwAcAHApU8eAN5++23pjHshST/LkIhBmMOZesvf7GxDFQ5V32i43gUAFwDOmxqdU3YEhHzsZhmNzGk3dr7mEARknz87O1vq231aGkAjvTjPuN+Z1l/oeyEAcx7vgXMGwi76Ev+sLyYQaKpy1fmUOG+2AOCM+uK5eHv+uKkpqHhwOJcRfyPtCDfuPc/VZJ3ns9c1dtM/yrnPd9gqN5cE++CDDy64BnAx0fnEA8RPW9rEJcH69u0be8bOeIeLZTTW7KSx+9NY1GezB4BzRbBPglg97NevH9+cZicRuCDIm2++KSB1uTJ/LBTZ0fTjfPbn0VRBkEvtXjmDsC4qAHDGh7M05tRQn88Xq/V+IYezfjx/ZmZm4q233kLr1q3F687qtr2tXWPeOS709ZzpOlesWCGlrs+1JuCl+lJzIpP9fvD3M8YpNKItctk3BgC+p3aPBec7cDEMZ+8D+9r5b+YTHvHdpBrTmpo1APCorq5Gx44d0bJlS2FIZkwuiWWP9957LzZatGhxXoP3YXWaC2y88cYbsuzll19G586dZd3NN9+Mn//852Ir8vl5vfPczms433Ofz3j33XflHFzX/l//+hdeeeUVecCXI8W/1PzJwuF8Q4Q5EOinP/0pevfuHXt+/Cy53uIn/Twv1ODr5Gvmd5h5gz95Gb/PHOZsTxU7zdeLCgCYWNXlHzR58mRs3bpVVGC2g9kZxoOLZLLE5sHfz2fwPnw8jq5LT0+X4p/8ycvatm2LH//4x1IZmDMDt2zZIsvP9xwfd/BvtH/bzp07MXz4cLkfF0oDaCy099NwhsU7rc4p4tBaz3UaFy9e3OA6zxZiHL/NlClThFns58r3md+rz+IZf5xhv/v2O7Jnzx6MGTMGf/vb31BWVtbg9zdGzX4akFGMVd7du3d/asDDLwcjKzeTaC5ZgDbxC8rayEedBbAdXpzrz8S/8dVXX5VjMuixZGENg02Nc5XE8Wm88eucKcT2cpa8I0eOlO0nTJgg52ftjrU9W3I5u/6yI5iddqwNPfLII7j++uvFF8J/l5SUnDPA2cR+HgbTS5EY1PheVlZWnnXbZg8A/KLzvDcj9IWmxqQG21Es8Q8dOtQs7wdLKZZcHwUAbLWZmV/q7dHfxcXFeOGFF6T6ER+Xew5ceeWVeOmll85oZjhrBsRLb+fMiRMI7HoD3JGHz/ePf/xDZjO+/e1v46mnnkKvXr1w1VVXycvLxMxve+f79++Pq6++Gtdee62o7/v375f9ePvExMQztkpvTAKyRjlo0KAzvgsXK7GGxMFiFRUVZ7wHFw0AMMrzi3+h6VzmS+3pk+YSB8AmCvsr2DfyUY7RWFwDS9y77747Vv6MTR8GAa6LeCYAOFN78vgpKduZy8zP1Za55DpL+1GjRknxVVsb+N3vfid+FxtcbMZkzYRBgzUzm7jlF+/76KOPiiPvbPfOSRwHwKByPu/CxUJsKjPPODWApsy6yxoAnA/f+dI6i2I0hywx5/ntacCPCgCN/Rb2szz00EPCeCyFv/Wtb+EPf/iDTIOeDQD4WKxOs/nAzM2dlNiJysFKe/fubWAaFBYW4qtf/ao4q374wx+K2s8+lvvuuy+m6rPt+otf/CJ2Dns5a4EMAHxcm3iGhjWChx9++JyTo+zfzgDAU73xTH8pAACbAHy/bA3gTHTZA4BTbXUyvjNY6LOuCBwPAB8nFyBeTWcGY0nBUpSrIDOT/ehHP0JpaekZGcJ5TdyslPdjaczH+PKXvyx/c0s1Jz333HOy7bFjx4TJ2ffAMywMAHavw2effbZRAOApu8997nPiAGWbn8eCBQtEU+Fjsklztt/sJAaAAQMGnLbNpQIALCTKy8tdADhXxorvDNuYk+uz7A3orAfA6H4hsgFjFXejUXznO9/Bb3/7Wzz++OP46nXX4Y3XX4f3DDMNTpXymd88I4x4He3HAMCf/LfTkcjb8jlYYt9xxx247957cdvtt0sLtnvvuxdbNm9BUVGRgM8vLBNAtSsPE+3avQstSXO455578MADD+CBBx/EnXfeiT/9+U9SwbmpZqlNRQ2yD8CZC3Ap+QAa0wAueh/AJ+EEbIohnN8/zamxcyGuCPRRAcBZDNTpoONZjxtuuEEk6fhx43Dvg/fjiiuvwPMv/ots60C9ug9IvX/NUZufq/+vTErAh6NHYtzE8Rg3YbxIV56KOlZwzGreqUvp8UWLFtHxx2Ps2LG4nxj4xz/8kWz37Ycexgv/+idGjh6FL1z9ecyaN888tlGvhbV45108R9rBN7/5Tdxw4w248fobcPMNN+Iff3sez/zq16g+Q2RkY+DNZsulWhKsMR/ARQ8APMfp0sevCcjMz6aOPQ24atUqkcw8WDLv3LEDSRnrce+j38F9NJJo/T9f+Duef/55bN+bI4zM9f+l0zADwll68pFRhTBtE9+8889/fRat3zMdei3++zZ+8D8/Jmn+Z/z0qR/Dr0QtAKiX3j26dMUdt96GR7//fXyfxg8fewJPPfYkvnnXPfjlL55GXe353Y9LuSYgAwC/Iy4AuABwGjl9HawFcEARq4p1NbWoq6qG4jO96exUq62pxi9/9jNR56+++nP41a9/CTUaMZt+qkas1I/dfVheMckdRqwXGfO9pAlzO+8obRHh86uoqKPz0W/gPoL+ag8qy8pRWVIOb5UHEVL7ubGIqpuxA3zg2poac9D7UFfjga+2Tpi+lo5RQtfJfQZdAHABwAWAM1C8PcxAcJrzjJhOV027OxIO4Nf/9zSGDxlMavb/4ZFHHkY4ErIKhRjC3MzkNr/bPQKE6a1PWK0D+DszuxEm7UNVYoChhMKnXWeQAYAByjBNB0V3aBlN8Kh6ngnHLgC4AHDZAYD9IjDj23Psdhy9RpJdCQVpXYiYjtYbUWL2IA4dPICjhw/h/nvvwW9+/X+yf9hQrXbjJoPbRUPMZoAmGLBLTrebhlgfUZHoKuiMCBomY+tWVyLpQmSYfha72TebGdIlmJbzsHsNGgp9j9BWim4Bjt6gIYkLAC4AuABwBnK234pl1EVMu17AgfsEOuIg+vbqjR8/+UOsWLIEuUdzRd2OkMwVGGCmNgxLAzALhPFy7vGrGQo3GpTjBGmLOloTsZiem4uyWcAMzfuHaXmUuJlBgqU5twg3FLPtmFyvNAm1OxEZ0qDU/GSzQrPQyAUAFwBcADgjnZYaq1tqNnvrdb1ewjIwEMONGTsW11x7LVq89Ta++8BD+Mdfn5f9FIPZVRVGVC2pLcxoMIOTacFyXgDAMKU/p/DyfjKjYPUMZCbXzPMz/4rTT5iftlFN54HBMw729lYjUsjMAiwzAZYN4gKACwAuAJwTAMT/LWG6xFQRlqqq6ajjT+4O/PgPf4A7774Ld956O37wne9hW0a21fWXmVsVY5+ZX7wGVo9A6FFziUZaQChKhzPEbxgrFMoMrZpqe6xdmG7EuhMjqsHgYW1jg4XpeLS6CdMIW8P4CDXHmgKASyUU2AUAFwDOHRTANjur36yWm0wQooVe+iwsKcXJ44UoOnYChQUnZOMo90qE6dSP6kZMEzftdUNUeTYRFNYMuHU4C/AoMXJYE2nPTkBW+QN0MAYexQIFTbQJS/tgQKLlARkaafmqgII9u6BYIBC5gABwqXQGcgHABYAzM3wj0o5ZThp8BiIktUPwkYSvaWSOPxAMEIOSLR8Nyxx/xDBiGjozf5ikvm5wM1VrvfgYTFcAzwBolmkRCYYRVKIIG6YGwWYB+wcCtL/Y+3QtkVCEgEiHj47Okp79AnY7cmc5ckP/aAAQ3xmouXSAdgHABYBPDACaMgF0sulJXMOfW4iKI0fg14OoJdaMGBwzwOp8lBg8IlBRejwfubu2Qov4RHPQWAvQWRob4hcoOJiD/B2b6dhRYWqZAmQJbnNpSIW/oAS1RWXiDLQZmZmcJT7zc23BKRzP3iVmCGsKdTB9CI22GrK0gvMhjgR0pgMDcDUAFwAufQBoUA0ZZmRgKBiEN1ABeALY0nsMUlp2BwpLSeKGyCTw8qQdQpqXRi3UshIkdemHJe98ABzLh6L7yQyIQJGYQGLjUB02DhiAVf95A8g9wtxO+wVQp4QJVEgzIOZHqYI1nUZhTZeRQFVEAIJnIXyREGrDQVSVVmBDv0lY8mxrKHtOEEgYpAWYfgqeDjytzvhHMAE4/NmZDuwCwCdKp1eYN2B6fM/0j6mmtgbvvPsOMrMyYy9t/FGdDSwuxdYOTnWd6wEwIDqr5jTuvDJOu/MQJ73RoKGfSqq2WQizBjh6DKkvfYBlz76M8JYdEEtbJbZjBtciCJPEL9uUjZTWHTHv3y+iLms97e9BlNR9zVDNtiE1pUjv1QPz//IcKtesov19ZAZEEKBjhGxbYM9xpPyrNZa+2AqRw0WmTR+K0nqFtAAdZUfzsOb9nlj153fhW78DGpkOQQKPsK0FMLHDUDPNAdFiDP2c7qNNM2bMaJANGH+fXQC4oHxvPXjrrTNEVmiWzGDrs/HBVF1bhbdbvIWM7HQTpS1dz36H7TBUe2j4eJKhuQMAa0JcuNKuCdh4PT3+LlZ9LDJX7pp46VDvPTNn6SzgjKAyKQFH3+uIQ1264uicGbRNxNzens7369g1aSr2jhyEQxNGYNPMUYhqHjPsz4rEjRzej3V9u2Jdv87InDYGms9DzK3JhAFP7bEs9yxZhOK23bCzY3ccWZkcux5+fiE2MTLSsK1ddxQMGIk9k2cD3ogcn08RIsbnhCTYocVhNeY8PNs9dJZ3mzlzZgwALrV6AJ8tABh2kAbihuFw15oSXrO0AFne2IAZA/7uOy2RlbkZ8SKtweZyJE1efMSPi5yctQkYALj4xkfqDsy3IkjHCeniUWfpz3Z7nRYmQV+NTcOHoXTaTFQnLMeGYf2geyrl3moWb4Xyi7Gqfz8UpyUhuDUbKzq0R13RCXNazoomLE1ai7QevVGWuBKr+/aFN+8EFJVdCGbgjuKvQuqHQ1Excy5OTluAzUMmk9ag8iWJD6CCzrlj9AQak+Bfm47Env1h1PmF1ysIjTykJeiKGYDEgsWefTjPMABJB7YLglzIblMuADgB4Ey9pc7A9w7+R01NLf2YlmQCbI4dvvHj2oHnDAJqg3EpkA0AXBeBK+lwAk9TpbgaHQqNAN0bv1XzQJp8+kU1DzBjkb2+uE17lGdnI3DkEJb36oLK/bvk5qqkfpOej5OrNyKhdy9EinKhlZRiafsu2J2wSq6L8/eiNR4CkQnYNWoS2f9HsXHwh8hNWActoplz/LRNxYGDWNS9O+o2bYMnfSeS2/ZH7ZESug4gQOcoOnQEKR37oDI1C+qeA1jcoTs8R/IIYFQURmrh5TORyWJEwuf3++OqHrMJwNWImJxlxS+FugCfsQlgW+XG2TfRTKywvcDxg6mythZvtngXaZtMJ6CKs2n1RsyEMA2MSwsA1q1bhyeeeEKKd7IE4xJePXr0kFJc3bp1Q9euXWX0omU9u3ZDn649MLB7Lwzo1B3923XB2F4DsWTKDJSePMEz/6iKVJAWEEbp2mzMbdURdXm5MErKsKpXXxxOSCC13U8agB9KVTk2DRmDreMmk6gm7cMfwtZpc5HUfwQBS1CksXayAss79MWpxA0gGwWHlyQjodswBGg5LBX96KI1SO46ANqJCugHi5Dcrj8K03aab0yEmHxVOla07A0cK4N+rBCpZAZsn7sYih6ER/MjGK3DzlWrMLVPHwzo2hm9BvfHUPpNPLhqcFOjD23P1Ye4twLfJ648ZPcGdALDpUCfuQ9AR8OsUGf76AbQYKvyaFpZqCEAeOfdd5GZnRXbpQHGNOoFbOhovJQAgGu9MwhwFZz58+dLfXweXGyDu93wMi6VtWj+AiycMxdL5i5AwsIlWDlnIRJmzkfy3IUY0a07EmfPgFJbATVUCS1cg11j5yJ5yASotcTcAQVbxk1H1pCRiJQVkPbgQfmhPUjq3g9lGzebN5o0iIpdOVjSoz9Kt20nUIigLucIlnfqD9+B44Ls/sOFmNGmB4q37yX7IQC1tAQ7+ozBlomzRaNAtQ/pA8dgz8Q5ZOt5yDyh846egdThUwAPGQQ1XhSsTsOqfkMBn0dChor3bMfU9u2w+MMRmDd9EqbMnoY5E2Zg3qSZmDZ9uvT8ix/cBow/586dK4OLnSYQuB0+fDg2/2/f47N1GXIB4FxeVsMJAIYkd6jy+HTLBahb387ut2cToMW7LZCZ6ZgGZMTW64cTAAzdkSeC5teW+qNSYxLqvHoWyES7Irf7ZM5uzBw8AMe20T2NeqEU5SOp81AcSNhAgBAhndhAUWo2kjp2R83+bbRNDfauWY7Evv2hnyw372uUniaBc8qIUUgdO5YjhJCfnIYNA8ZAKfebwTp1EawcMRaHVq8TAKjauRVJ73VFUdY2cwYoEMCROUuQQdJbP3oUekkFlnXpi/yk9cTwEc4LRsXeo5jfvhu8ZDog5MXeFYuxYuhAqNVmvTsN9Q7I8wVT2d9KhnIjAS/Ym4o4Ma/D9vxzigjnfHEuWdQI0mdQljaQ3k6pTlRdxQDwATLSN8WOr1sKvuSkxwe26Gb4qaIbMa3DJQ7d1yQST9DR70PiqJHInDYVqChHTVoalnXog7r8k/Bz/D4X/aiswUoyIwrWLCFmPIW14wcjc9ZkGGpEUn016wEf3rgOS3t0JVQpQs6kWdg6cgqn/pke+kAUOxITkThiGB2vDEdWLsHCTt0Qra2RKT014kd0115s7NYTgS1ZOLVxLeb17IbQ4XxhfqYIgcLqvkNwYsVqeltPInlAf+xZsxI8Z8BZh1FrvuhSnP69KAHAztZssESmAVWZTzY4qkwNs8EHiR3T2QGj0uAsMi1WRcKwbMba2mq89dabSE9PiwGKYRkVpl7hnDrUTwMDQ7t0ij1+rGfC0XqSWadx1A0OpaSQtO0Ofd8h5M9agA19hxPThQWcFY04WFewcfxIHJgwAt51K5HRuyO8+7fLdGFAvAfmMwgU5mF91+6IJKRgS4+B2DN7UWzqkB9HWe4hzGvXHp6Nacge/iGyJk3lSiSED/w+0EaeWmzq1R8VUwg8aH3GlIkEHAEWzebF0/PLHjMVh0ZORiglHQkduqA6/wA97bDF/lZm4CWj613kAKBZrKnHAwC/eFy2iSSMoUYlXlyTx6ZalvrpwwaA995/F1nZdiCQ6eWH5eGvd/VpUkHGsMwDmbtSzayzy53qLSS6NyoH9ygIk8Re3X8w8mfMx5beQ5A7Z6nM+xsGV/ALCjgXbkjGtp5dsIPGvqEDyB4rJt41w39Zl1MZKDzlODxuErZ27oXUNl1RvWMP7PRAfuVUvwep/Ydgx9DRyOoxABVbd8k1hTVOGKZ3gbSAgkkzkNe6FzLe64CCrCxLiBCkKxLlg+J1GdjSdRAODBiN3SMnQPdWE4CETcDXDUu/dHWAZgEAqlUEUrHdb06Pf0SXaXndWTXmLMfjUOB33m6BjIzshijj2NHpB4wtcAa9uADgKNtlmGAcCuPQqtWY8W4rzH27FUnorYCXJS9rZ3TjogEoh/djLUnvhS+9jNKk1bKMTQCp4CNReVyVJwD/pu2Y+PeXkNCWNIrqWgIGtb5WYDSE3KVJmPrCG1jfpg9QWCnrvIaCYjpKOFAHfU0Wtj/zGjL++i58h/NQScxdEyZ4qKE3JEBnKq5AYtuemPXCf+FJzYYe4pkJzcpAghXr4QJ9swAAUyVXLHXeaOCci5JtXh1Vsa/Ki92+ELaRyrkroGCPV0WOV5Gxu84cO2sj2O/XkHqiHH9p2wOT6QU9GNZwMKDhSI2Kwx4VB7xR5NBxdvj8NLzYE/ThYNCLPHqpikIBVEbCUmH2cicDDZ2y/GwUnw9VBw5gSvuOWNKrH5QTZSRxVQRVqxoQO/nKypAweChmd+wMz9E8M7rQiilQVDtaU4FSWoqpZAakjJkIlZ5p2IrX5+zAukgI5QeOYlSLtlj24QRiah9JfV00/CAfgbTBUH4B1nXpj3X9R0CrrEKQzMMAnV8LW/EDpJms+XAcpr3XFpH84xIJyE9VNcz/dIkpVVzOv5AAcLbwyKbbMlsTf7aodxSG5Eiv/ZUeDEtcjT7JKeiRuha91qahz6pM9EnKQG8avRLTYqPPqnR0W7YO/xg6AZ0Wp6BvSib6J2Vh0JI0DFyWhn4rN6JXwlp0XZmEzitXoOuKpeixbCGGJCzFwi2Z2FlaiHIl4L4RcIZOm9kUajgIzVuHI6Ryn9qxSx5XiJjaK6W3DGFSdhrm07rcrdugByOmUmXHXBtmuDGbYTpL+d27cHL/AZL+mpXfbwUH8eP3hrA3awtyDxw2qwHFKoiY1+WtrULJvv04RfuzeeIkifsgECnatQtHszaT9A/LMolkthxOXHqME5Jc+hgA0FgXnKZaQNvLuH6cPRXVVJNI57F5lESCSD9+AOuKDiG5eD9STuZiXf5JrDt2Aqk01hPC89jAI68A62lsyD+BtUeOYfXBo0g5kI+0A0XIOHwKGUeLkZF/Cum0f9qxQhokSQ4fxOrdO5GZexC5nipUaiH3jWjmxO8Qz7/Ht2Cz4/ftdYZVQNSlM1N8Z6Bz6g5sM7Qt0bdv3y592DjSzE484Rxq7ufG2WgcTWVnpNkFJnfs2CHI80GrVtJqevPmLVDIlhvQtx9avt8SPXr2RElVpRSbqCY1r9wISdGJOrq2OrELzeG3RoA/UT+4WTXLc7scVND6O2iv1w35HjLMajI8E6Wol0Yk4KVMuhWMo2kNXXl2kA6H6nLVYM5ajCquqv+JAICT+TnR5MUXX5ROrtyLjQGAl/3617+WRo733nuvNILcuXNng3ZTfEIGDW4kwT3euAmkSnblwN59ceUVV2DcyNGIEiCwXcdVYaKaJipjU2TEgjTiAoYM06nAxSQ4V1zsUuf6BmGIrsS4aICgkdbldnSeDQCKCwCfDADYpaJttYt7ubP0ZwBg4v7t3J2Vl3M4JX//6U9/2qDnvE1PPfUUrrrqKiQmJsrf3/ve9/DDH/xAAMF5rsZir+Mje+NjhMzphFoaHvpKQ2e9wJy2MmenVat4rCHVal3f8MVD8Q1anS/vpZSt1ywBQCrDEMIyI9t2PSdRcL84Xp6Tk4MJEybIco6tZinPJoHN0LYKx8Sx6F//+tel22xubi5uue02DP1wuKyLcGNKwyxBzTncRixQCKZjyZLlctGITyK0XFk8VUVDAouMqDiBNEOzYgL0mLdbcQHgomB6J7mM/hkBgL2BU83iDCpW+ascnVdZ7X/ooYfw4IMP1jtmrAdmA4Cnuhb33H03br7pJmk6+efnnkVxaYl0guEacXbzB/407Hlp3ZkV5HA8xsJ9TeY3pGOsFVtkxflEFAMhxaxqqxi6Q/vXXafRRQAATY1zAQyXTr8vDABvvvnm+QOALf3tfnFcNJFNABsQeJsnn3wS3/72t3HkyBEcOnRItmf7LGab0XmqKqrwp9//AXfdeSe+8IUv4LnnnrNXNWzwwNyrcHWXiBklqFtlnqz68OwDgB3Vx3XoJUjFqeKbwb/cSJKZP8rz21bSkWJlHahuNoBLlzDTxzo7cT9FiwcZAF566SWUlJTEtos3rU4DAD4QH4QHb0wr8P/+3//D9ddfLwUUeWdW7fnvP/7xj1JO6c9//rMst/ep53IgNTUV1xDz33XXXZKqaq+q7+xkSIkoXQJPQnQcRUI7I8TgIUOTIJEgawz0GSI2DhshYvIAwrQt15QPaQrCmhoLG7V/Gse7S115qVR7brXiXHLpYiWbsZl/7ZbvDADsjC8tLY1tc04A4LT/mYFvueUWYeDXXnsNGRkZIvnvv/9+GV/5ylfwpz/9yWQ6axbArPluSu2amhq8/vrr+MEPflBvIqC+hl8EZjip6bpTTKbnaUBaV0ufZbR9Oe1XSduUGhGUan7U6EFUEQBU04GqCTzqFF2CQTQ73ogz3jjP3G5drUj4ofuWuHRJUryD1Haq2z6A8vLyGH/aPNokADgDe/iTfQFs+1dXV8Pv90tMfkFBgUQX2YOZ3AaOiCSSGDKtF1XME/Fx+Bjc792wsrYYozz0rYwY+ZRSh/2+OiQcq8T0nXmYtCMPE3cVYvSO4xi+NR/DtxVgTE4hJu6nsfcYRm3OwdidRzB85ylad5z+zqP9jmPW5sNI2JWHo54IAYN5DsUCG901GV26hMk2AexW78yDXDburbfeikUCOhvBNgkAmtUZ1okYNjWoJd9IYwkGDfsiVHbyGWY315heznP1imY67biQK633k6rP9d2O19Vi44FcJGzZiUUZ2zA/axfmZOdgetZuzN68B1PTt+Ff3fth6KLlWLptJ+ZlbcXUtBxM27ALs9N2YeXW/UgkYEjfdRjldVGpecnn4HoA3JVGcxHApUucbE2ABTRXhUpOTpbSZ+yjc/LzGU0Ap6PA6Vxwqg52uSR72s/5WQ8AuiTg8Ke0c+Y20EGFm8hZ6bmIS9xiVAqjqWyuWm8t3mv5DjZnr3f8YjjS2xwUayxvpSJoVmqwSy5dwmQzd3FxMVq0aCGRui+//LJM4wcCgQYg0SQANIYqZ0KcM61r4HhzlvhtdDcjVjCywS42AHg8aPlBS0lwiD+3owy+Sy5ddtTYtCnH6zzzzDMSv8M+ONsx2BTfNvvWYOxnYIeG2xrMJZcaku20jy95zgF6HL+zYsUK2a6xEOuLBgDYifjGG29ISyyXXHKpnuLLmdumOgfrsfS3A4HsGbrG6KJoDsoZhtnZ2e4Td8mlRgDAqQUw8TSg3TymMaC46ADATC3e7D5xl1xqBADiS5pv27ZNtGZ2CjKdKYPyomkPznObLrnk0ukg4AQDJq7LwbMBdiQgA8BF6wOwAcB1Arrk0rkRz5gxzzhNgLPGAbgA4JJLlw4AfKatwVwAcMklFwBcAHDJJRcAXABwySUXAFwAcMklFwBcAHDpXInDwHlwRWoeXIbejnZzBrbYn86pLmcfCycT2NvEN7bhv/lcfA67IhYTn9euih2fUOOcguO0ed6Xc/D5neVhn99ZUevTKGnmAoBLlwSNGTMGjz32mFSV5hqUt912m9S6YyZzZqHaTO0sahOfqepkfq514ZwW4+3nz5+Pb3zjG7j77rvxwgsvyBz6wYMHpbw9n/eRRx6RWJT4TFkmDlL7yU9+IvH3XCWL62By3czp06fLuezrsWtufNIg4AKAS5cEcSbbo48+Kj0oOLad01u5xuTMmTNjL7WTsZ0A0FT0m72PsxMR187jCle/+c1v8LOf/UwqXjP4cBLaN7/5TXTp0gWPP/44HnjgAWRmZsq+rCXY53366adlH97/6NGjEobLZfEZCMrKyuQcNmion0KjGhcAXPrkyTjP8RGIe1BwSblrr70WKSkpGDVqlDDWnDlzYtvEt6SzmYwHV7LiY7AU5k/7O+fI292G7IYjq1atEqnP0p8L3+bl5eHvf/87fvGLX8h5PvjgA1xxxRXyyWT3teBz/u///q+AAJsBNrOzpsIpufz+MtmMb0fluQDgAoALAGchn88nEvmGG27A97//fdx0002iZq9evboB0zv7UzpVc84huf3220Vy22o5f37rW9+SfhVO+5xp9OjRIsm5pwUXsmUmZsZmYm2AAaB9+/axc9mMzCDB9TGd/oTOnTvLuW1QcJoqrgngAoALAOdArGqzNObCtF/72tdwzTXXiDoe3ynIyfi2GcCD7XpmRO5vwV2u+LNr167o2bNng14XNuMysPC7xoAzduxYSahhAGJihmIAaNu2bWwfm5n/8Ic/yLVxHb6ioiIpp8/X+93vfle0DpsBXSegCwDNn6/jmKuxGpAxAHA0c5HSaw2auzQcjSWtnI0hWANgJ9x1112H7t27y/eHH3445oxzktPRZ9vbkyZNEnucQYAZt1OnTjLatGkTS5SxNQino45V9yFDhojfgdvf8XJOrmHtgMGDydYcFi9eLBrFrbfeKteZlJQkGgdX1OYemoMHD5btbG3BBQAXAJo9AJxJWsWm1aQuo17P4Jp+RgBo0LvVMW13JnuY1e2rr75aGI+ZmRvW8vebb75ZfALMtNygxjml5/SyM9MzE7IkZifeE088Id58/m4XzGTiWQXWNHg9S36eCeD2d8zsfH7WHLgXBpfDt5nKvm67GS5LfAaAlStXiqnBfgtezhqEE/Aay8l3AcAFgGZJ8S/raaDQ2He7BmRTmgPOXGXaSdyL8pVXXhHp27FjR+zevVuYmlVzltDMoMx0EydObOBdt5tksAlhmwV2VRy7k5VzqpDtdLbxuZAmq/EMAky8HWsPvIzfwaFDh8bO4dQAWFNgTYMH5+L36NFDjsf7sePSLtgR73NwAcAFgGZFjan7TWkDjQl4HefuBvgoqrBznxEjRoitzqo3q9zs8beZ/2zTgPYnb9PUds5imk5ylsBvTJo3Ns0XHzvgOgFdAGiWZNvC8QDgfGntlzmqqdKBmVuwR+i7ajVldbZ0NztB6dK7UbPLxjdy/KYY1Zbktp1uq/e8fM+ePfJOPPvss9KxylkXzz5HrFuVdW6nHe70yDtL3DuBwf7dPGVoS3H7Ouw+GvH+Eufvc2ofn2ZTUxcAXPpIpEQVhIjhtJidbzSyTRRenxc1fq/0ZwxGI6j2euANB6Uxqwqz9UOUezrqKvzRMHzhAPyBgITaclitzazcMUpTG/cBqJpO6xVxLsZH/NlS+/jx42Lf33vPPVIHj8n2KzTmzHQ6CnUHIDXWCMdutukEEefxbea3A4rs3ppOzcC5z6fZ9twFAJca6N1GY8udznyYkjqqRhENhqD5QzCiujAyR8XbSjL3YYwQQwRr/TR84qWvUkLwBYMkqenlZ+aU7sz80hsIRsII0jGDCh2XRjhEf3MnaVVBNESA4fMjHAkJUHAjF2F26NLTWQnXQQnUIGSEoOiqNI5WFWJGteH03+FDh3HvN+7D73//+4Y/v5EXPj6O3+mAjAcAm2njtRQnWDi/x0clOveJL8flmgAuAHzypJ87AHCP5aARJuYOQfcFoBRVQfOGEaJ13FcmzC8w93+ECQBaBUn/E6UI1XpRwbLe0vd5EkAav7L97OGW8SoixNnOZlBiFpDmEKKX06ipg58AoCoalB2lNb0RoUEg5CsDak7SdXlFm9A1q3+Mbr7Mreid+PlP/wd/fPaPuOWO2/DmW2+5z9wFAJdiXK3Vc50p4c3hfA3qVWNibsULw+dB2aYdOLpiDYzymnqs4Ck+haSizt2XIyhISsWu2YugMQOzvFZ5vWba/WoEeZmZOLI4AVp1NbzBOsICMgHYdpbj0VZBBWXrN+NESjr0KLd+1+R6GSx8xO4RXzVKMtOQt3gBglWnCFjMPpN8mhABUVBT0ar1B3j66Z/j93/5PV5/43XJxHPJBQCXzgIAehwAxOzraC1QVYE1fQZj7psfkIF9yjwQ93bUzHbrasgPeGuwvHUHzHqZJG7eCWntzqq5tGZn9Z3WJw8ZgukvvAzf7t0ELAFUBX3wE9NGhYnpQFV+rO88GEvf7giUe8xronME6CQ1CEOtLkNqv4GY+Ld/onpvDp1fkZ/kp+usCAfhpb/1y+l5ugDgAsCFAgD21p/mHGMvfaAcOHgAq1u0wbx/vILA5u20IxkH3Opds3eOoGRTOpLfa4n1b7yP2pUp0EJ1BB5Ry19IIFBZhnVdemDOb5/DiUWLSTMIoDzohU+JiAbA9j/25mPdS62x4Nk3EMg5GrtmH11pLRka/rxDSGnZEcteeB3l6zPYNqA1BkhHQZkSRGnEj4A0oGUHnalXuP0hXQBwKR4EGlvM01TMNMzchmpKbWJcra6YGHYh9vQdggMDR2DfhKmkbwcEMHiqjyU0omGkjfkQO0cMh2fKXOztNRRG4UnxD8gLphsI7d2P9A7dsLfnAGwbOAxKWSlqyMYPRKx5dQKUssWrsLfLIOzuPhwFi9cJQqmmkkHXY+DkxnVIb98TRUMmY9+M+XQdYVnDPolqLYqysOkXEADj36JppzWYdQHABYDLguKnsM68MTFMIAgjzF7+MDFPhBgvSnY1q90lSO7dG8emzYZn1Tokd+oFpbRCtIeIZs4DROjvlb16omBVAvRte5Dauhuqt+6TdTxth6CKwhUpyOw1EL7kdVjXrQ98RwrEcRglxg+GIjDqAlhPIFM0bzmK5yche/BE6HVR0Q5kBj0Swo6pU7Bv9BSEV27EagISo7JK+r1HCbD8BAAs/bUG77ND3TkDxc/RuwDgAsBFT86AGZ6H5hGORGR+PkQjbC2Lhmh4vAgWl0GpqiEQCEMh1dwf8cIbrYP32FEsbN8RxanpUHJykdKlP0p3HhBFQmG7nfjl5MYtWNa1B9SjR2CUVGJDT9IW5qwWbUNnjqwIEEOPx/7Js4Bjx7BhwAgcX53BUwdQIhq83jDqjpzAwk7dUb19F/yZu7C66yBU5xeRRDcBIJR/Akkdu6F2XRr0HQewuGN3lG7bRjwepnNwJR8FYX8AoTo/FP5N4Qj9viApCX4J2OF5eLtgh30/7Ll85xSdCwAuAFwydPLkSYmR57h1jpl/r+X7eLdVS7zXphXatG+Hju07oOMHrdHp3fcwonM3TO4/EMUHDsII+omZqskaCKBo3UYs694H4WOFQEk11vYfiYNL1wJhYsuoAq20EltGz8CW8dOBQEiYOmfeCmzuPxlamZe2I00ktxxLO/ZH0dpM2ieC3OXJWD9oAvQKsu4DURHUeYkbkDh4BKIni+nCK7C8+yAcTssWADCIKYtS0pDUqY84IbXiYqwfOwEZ0+icxOAwFEQ8dVgzbzEGd+2Frq3bo3Prtmjb/gN07NIeHTp0iGX88XdOJurWrZukAK9Zs+Y00HQBwAWAS4I4I46z1SZPnozly5djydKlWLR8GZauXI4VCSuRmJiIRFqWNH8BUubMw6iu3ZE8YyYxsh+ar5ZUdy92T5mFrPGTgTofiWEFu+avQMbIKTDKqzhkD2W792BVz8Go3rQHepQkqUISfX8eNvYcjeKMnbRfBFWb9yOh70j4806xSoAwfS7uNACl2XsAfxRGjRdpIyZj8+xFdI4I4Akic8IMZE2bQ5oKnTcYwJYxU5FO6j/ZC3ReP/JTN2Buz55QS0+JeVBE1zFn8IdYOXshEhcvx6rlK7A8cRlWJq3EihUrkJCQIJ9L6ffy4Ow8LuzBJb4uF3IB4DIh+6FyHTqufnNOc+GhEAp37MTM/gNQTloA6coIHT+OhC5k2yeu5iR88boXbd+NBZ16wr93nzjh9qxKxKp+wxAproXPG5KoPtUTQPqoGdg+eS5Q6cehxPVYN3o61LqQeX0hHUmDxiBnxlKg2o+S9Gws7zwAJzK2k0Qnq7+6FvmJa7G8Wx+ESk4gWlCAlV374jAtM1QzBrGczj+7SxdUHz7AEUbYOncBVoycAMMXOuf79OGHH0q1H5vOy2/iAoALAM2d9u3bJ3npdjNIK7xPXOti79I/zVBJKBNTaVFh+sSJk5E+nWx1XxAlm8m279wFytFc2idM2ryGusoKJAwcjKJly4DC49gwagh2L1hEpriKOpWDccz8//w1GUju1BvYm0saxDRsnLWApHc0dm0HVqYgk+x87MtH3qwlSO43CronZMYXcBz9oWNY2aI9AvTSFq9LxYreBEyHDiPK6j4BQOTECSQM6I+8tclQik5iXs++OLAmzZyVkHdaR5i2DBvRJtOMOXXYqQF8WpV5XABwAeBTAwDOkefqtrGHzSauZuOBCQIy4acQ8+kK8jdlY2GP3ogcyMWBBUuROmIUDClgScxN20VJAmeT7b1n/Dh4N6RidY9O8Obslmk8svjhs6Ro9OhxLGvdCb61acgcNQH76dOIqlA0Q/iTZwGS3uuI6sRUbBk6HhvHzhDmNSTWni6wug4ZfYejfNZi5E+eg63jWYPwSqZhgMGKTIGdM+bgwNTZ8G/chKVdesF/qsT8TRIfrBHOaXTIhja984UfNmyYmEcuALgAcEkDgF3mymR6NKzCA8h8f9Rg1ToKtaoMK/sPxL5x00hCD8CBJauh+cy5el03d8xfvwFrO3VBVt++2DfyQ6C8BLoalZwAn6YixFl5dT5kj52A7GGjkdS9H8pzjsi+EQkwoi/VPmwdPBpptH5h1144RUwsjkU7YTgSROHyZGx6uxty2g9GxfINoh1w4E9QkwQBFK/KwJZ2Q7Cr4zAcHjdbfAMEUcT0UVlvgl3TDM0AMH78eBcAXAC4fACgAVlowBn7BAH0LcoRQTiyZg0mvfIW5r/VCmVbc6CHzfl+K7YOenkFpr39Nj584a8oTksV80BXIgIAXpK+nOrL3v5yMiGGvPgyJr7XBkpptewbtU9LzF66OhUD/vkiJrfpAK24PKa6S3YAmSWB3fsx6S8vYckbbRA5dELSkDkAKUIbRoIBaEcKsfS9rhj9x/8gsnUv7ROk43P2YVQCmpw1B10AcAHABYDTAMBM+jUsANCZPXVioOJizGzbCekjxpF9XY5IOGLl8lslr4JBrP5wBCZ/0ALBk/kCDToxnGgAxKB+ltCkeuulJZjatQtWjxknDB8l0c8mgghlVYOSfxxjPmiFJSNGAv4g8axCzKuQ3a5ADfqgnSwiE2MAsj6cQMgSosvVESL1P0ggEwoHZFna6GmY37Y7UOkRAJN/AgCaaQ64AOACgAsAcQAQS+ez6/NwIAwxMY9IAEadByezt8CfWwAjqCBCqneQXhQ2BFi910NBVOYexJGM9cTxVZwNJHoEAwQX4ArS8XTSCjRPBYr37ELlkSOSshch5q8Mh8QM4PBhVFehcNcOlOceJgyJIEqjLhJCbTSAgL8WWnUlavYfQO2BQ1yLSxia/w/oougTxqioPpiLqp17AE8d1xgSB2HUSm9yuDtcAHABwAUAk+zkeR2wnGU2AEgOgE7SN+AXiUwiWziItwjRe8IAoBhmJiAnACHsJfPAQ8xuTe8ZZqGQEHvg1SAioRqJ1IMalX1YJntJgkf43AqZHEGveZwoSX/NLBwSJpAIczIPLycwkvUKmRgEGKpVWShK1xyma1VJW0E0KrEDesBnFgyR/83fpYmD0wUAFwBcAHAsteQiM74FAAar61xdh5iKc/s11UykMbjKDg1FNxk7au1tZhXSEp0Yj+xuQwDExBVmUFHRifE1g5ifnYvMxDy9B4j9zt4GBhz2HchxlJDI66h1DoXrCLINz3WE9LBIdi4f4icNIUBAoBBIBencUQEtOi7nAOgm82vWvAb/Ns5mNFwAcAHgcqX9+/dLHADXt68nKwHYsEAgVk6nvmBnrIqvFLM0eIbPLOcF5wSCJkyryjDMeoGqM8XYEHnMMQYGqfVs8/O7xsuZwVX7OnTT8cisGjHMcmNmSK65XhO1Pioqv5fMB4/Xg0g0KB4L+zwSz8/72NenW1qKrem4AOACgAsA9YwrTNGgTr9V2Rf1IBCr5Kub03ZaDBQsBjPlfqzgpxlkZMAONVDlGIZIaEnL1U2EqQeZWOcQmJUHDWHi2OUYhgUyqiX/IT4ETuJhM0WLAUDDisP1P0KPpTa7AOACgAsA9Y/cYnycVpjfsJjWWcZbquNK7r9ZwpsTczigx2b0iAUCzo5A9QDgYMiYolF/fJH0hml6SH0BTksW5jUcU5SqFadAGoJgicnYGoFAlCv4WgCk6Ya1zlZljJh/wwUAFwBcAHBy+RnImRarS5psLFZQ/gnpVoVcsHNQk+q9mtkIULbXbKZ0AoA1J88OvHqtwRA+VeGoVeosTCpBQ6rY95zC7I2oiLI2oXIL7wCC0TCBgibAEIkSSETMEmRmKzLDCUMuALgA4AJAPAA06NDToLknqdyRMMLBADFcRCry1oQ8qAnUIBj2I+TzSYVfZlqekvNEQ4iY1rgUCeG+AFGLyU0+tJpzSIxAFEEBAfNUfmLmKjpmXSiIQFiFL6DAF6Rzcu19jjnQTXMlHImiNqzILIGqhuD3e6WakGJpBkHSShgEdLVeexDdxDUBXAC4kHQxvSSNAYDhKJPntJ0NI9auV0qDKSGuCVBHTKuIt90bJACorUIg4IPfW4dwKCTH4Wq8tZEg/EqQS/8SaAQRjIQEADRp3kH3i5t8qKb5wF58v2pOBbKmwN+rQj54QgE6dgQBXxSBYBShUFiajfC+UnyEPv0k4VWNpXwIQW5AwgAgTkUCAa5OrDp7lnBOQlRMBRcALkEA4G4ynOqanZ19xh9yoSm+k4vdQaY5Unw2oFMpduTHwdmwi73yBvcBUAJQowGrIAdJ2FMVqDl4HEZYi0l2GzN8qgKPjxh4XyFKt+6BHjDBASEVIp6Z/FH4jhej6nAewM1CVHMeQLdOL9GBvjACeafgPVkGlcAgQtsF/QFpN8a+Bo3Ao/ZoHmr2HYTuqSGAIJBiqGFbXyqLoiG6nYUuNwDgBqXcULWhQHAB4JzJWTIqvv/bxQAANl84fX92MLD5u+xOHlEyAYKIBrxSWosXbV+yChvHTJFcfaPeqJePQDgIzR/GtpEzsKr7ABi0TZSDd0QqW05CbxA7p85G5tBRQEkZWRkKgpZD0PQhmn0BMqbMw+pJ082YghBdB6n9XHqMZT3HC2yePRdLevVFOL+ATh+l5TwFWF89tIEvwQUAFwA+CQBwMn5zLiDRGACc9pvgzBC2oIGDaLi8Nqn5KklgVAewrENvTHujBUJ5R2MwwgU/VZ6DJzVezzuOla+2xKzn/w1lxw7SjMLC/HxcEcxl5Uhu0x6L//ESvBkZkjzk5V56MSchbVVZjZlvt8aI/74DpbqKtI2IKCVR9itwMnJlKRZ37IzBzz2PsvRNAh/siYjAaBCIpJ0b/7sA4ALA+ZGz06xz2UWjAcT36o4DAGcAkDmdZkg5rlDmNqx/twNWf9AORRvWAWLhk4ZPQOEhqczz8icXLMH299thd+dO2D9tHCkRJN+DRswJH8k7jMwuHbD+rddxcMp4s7R4SEMkyI0z6XiKH5HNW7ChRRsser8Vjm3YYIb5ku0fVgPE5D7Ubs1EaufOSGndDodnLhITI0TSv5Z9ANZvjgogmAFKZ7MDXAC4yAGAf8yn7QOwz1VUVITc3Nxm/cAbBYBG5v+ldx+3q5ZiHEbD5r/BIPZOmoH9Az9E3qQpyBw7CoavWliLma9OIyu8uhoZvfvh+NQpCK9ORDIxuqfkpDjlTM3cQPWmTOzs1xslk8YhvUc3RAoKEAkpCARJtrMJUV2Gw+Mno2zcFOwbMxEbR40VX4GAhxKA31eMg1MnYPewoShfuACZfYcBpdx9WEFZKIK6qGK2CZOkJFWGAc0FAAdt37790gEArnPXunVr7CB1035wn8Zgic8zDy+//DKmTZv2qZ77fEdeXp5oSdx6+6zbW9NtdpCgZgX16B4vknv1R+G8xahem4L5ndrBdzw/1iFYUoAP5WJV+/aozEiFdvgAEtq1Q96WTWacACf3aFEcWrQQ2wYOgLF9M1a3bYeClHUIhUJi3zMABPJykdqxCwJrN+LkimQsbd8NoeJyqRCkkTnhKyvAtsGDcHzeHESy0pDUqhP0gydQ5w+j2BNAhcffgInPZXA5sOb+DC/k2L17N95///0GJuFFBwD2BfOPeOutt6SuG2sB9mDmzCAbMy0tDRtIjeTB389n8D7r169Henq6jI0bN8onr+vXrx9++tOfomXLllJZdu3atbI9b8P72N/tcb7nPp8Rfw77evl7ZmYmZsyYgb///e9ITU2V+5KZmYENaeZ1ZqZnIDs9E1nrNiArhdav3YBdm7YhytV/uCAPN+vQDFQePoF5nXqgaudO6CfJzu/XF0eJSZ10dGkyFnbugmheDlCQh+ThI5E+a574EqLhAJTaWiT2HoSCpQlAdTmyRo7D1nEz4C8tix3jeGomEjp2RfRwHvy7DmHp+51RdiDffugozdmF5O49YBzZB+Xwbqzv2Q8FK1JhhM0OwWpERcnBfKQmJSJlQzLWpK3Feu4klGbeH/7NfB/4k+/Zpk2bpEw4lwjne2Pfw8aeofMer1u3LrYNH4//tp+9vZ3z+5neMfsZ2uf7JN4N57UNGjQIL730UkwDcILDRacBcBzA2LFjBQR4bpNVG44L4E97sPRz/n0ug/fhwcdiDYPr6vPf/J3ryD/11FO46667ZDnXlm/svJ/WsK/Vvl6+D3w/GOX55f7nP/+JJ598UvoCvPLKK2hD19yi1Qd469130JK2adeyFdq3aInuH7RF33Yd0enNd7EncxN0sst1LgNOTHU8JQtL+g2BWl0p/oDUD0dh84QZQMB00KEmgLX9R2PvgiVQa4tIHajDwdR0rOw1GMH846y/Qz1WhMUd+6B690FiVhUn12VidfdB8BzIhZlqqGHvlEVIIE0DXH+wpBor2vaUXgG26bJp3iKsHT4C8NcAVSdxcNZcpA4jM6EuKOeoyT+B6f2G0u+he/H+23i75Vt47wP6nS3fiz0f+314++235fn96U9/wm9/+1v5zveMwYCBvbHxwQcfyKfzWLyM77m9jb2Oj+X8O37wfjx4vfMcF/I9st8L+3q6dOmCdqSZDRw4UMxnMf04lNqazbqoAMCJWgwEnO7KP4oH/80qr8/nQyAQkMHfz2f4/X54vV755FFNNi4fm4+7kyQh15PnB8+BFby9fU57P/6bTRT+fr7n/qjDPi8Pvl7+3Xyt/PDZFGCNqZauqYoYtKKmWrapq66Ft7Ia/vIq+IpLsTN5LZaMGY/qvAIYnGNfVoXs4VOxec4SyckHqep7lyUioXMfBEnaMgCcyNyJpZ36I3T0OMJhj0QCRmt8WN1jMI7MWUoMGkV11m4k9hgGb1mtzAiEi2oIAIbg1PosiRMInShDeo9R2DF3iZT4RkUtdk2cjU1DJ0Mrp5e1NoDE/iOwbeFiOidpFL4KnFy7HvNJYwgfOy5gdHhNGpaNnICiw7n0LDz0LOh5BDyo89bQs6iT+8EmB3/a7woXBGUfgH0P+Zk19b7w/eX1fAz+tN8x/u581vYnLzvT8+Ln5Pzk/S7U++J8F+x3k6+Hnzl/shObh23SXnQagMSUR6Of2fn5JeB68hMnTmzOShIOHjwoQGUjfuM3k2zsoI8kPoHBsXwsGDQYJ9IySNKG4Nueg+XE3N7DrIqrMg8fOHESizv3RBmZDAhFseHD8UgbOwWG149AKIjqihrZNGf+cmwaOBKo9CFn0UpsHDwBBncK4lMGdaSNn47saTOk6Ehx+lYkt+6LQO5x0wFBx/Fl7URym56I5BxBZF8ekrr1w1Ey7by1lYQRfvgOHEZiz94oI1UefgKcEaOQOmuh43eJjMOZJgRZg2QzqTnQpzWdbAtPuyWac0brogAAp/TXJS5cbXIb55z9+YwzgY4TLbnPXPw28X9/1Gs4lxHv5IknDgVmbaV+FoCuh5P7rRBdCQDiUN+IT9p5cyXe3SuWI33kaBiH8nBo1nws7z5QqgNJUi6H+0bDSBg6FAdnzERk924kkV1ekJVptgmjawqx74BuYUXOPmzrRvtu3I6sEeOxfToxp8dq2kGXkLtuA5J69SXmPoycaaTOdxkCeMNWIh8Z9SdLsKnrAIRWrEX+zMXYMHAYfCdPwEuSPcLTC5U12DJqNA7PnYXAts2YT+ZZ8d6DDQGAewIY0dOeg01sE0+dOrXBu9TYfXXeX/vT7ifo3NcpUe3zNPVuxS9z7neh3o3G3k2zxoN6xm2bPQA0dvFNeTM/qqe/KaayUdNW11jtZ7XR+RA/zrnPd5yJDhw4ILa/7fTRpZSXGXfLzKrGSnpwsS8u3RVE5Fgeqes9Ub00AbsHjkAOt+GORsxyWxr3Dghh25K52DZsMI5NnYRNI4ciWHnSjOQz7GIgxBw1VcgbMA7lQ6Ygo+9QFKZtkvNGdVMqh4qLSCsYjvxZC7B72BgcnZ8kEUNmpiD9ttpq5I+YiKLeI7C/+yAcW7aSVgYRVLnoJx3CH0besuXYM3IY9o0fi8Xdu8JfVIKAn1R8Mm2CpJEYVq2BeIFgE3cGsrU4yW50NAlt6r2w3wE2/6ZMmYJgMBhbz8fjaVdWuVk4NAUgHIvPlZrYB8GzSc6+DRdqpqqx88avb0pwNWsAONNFf9LHtrvJMrFD8Hvf+x4ee+wx/M///I8AglMSNIc55fiSYM44oIZBQWb0H6v48HmxZ85cZHTtha1de8ObnWU63rjgFpfjqiE7eMtubOzQDWvatMfxlWTnawHRJDguIGiYOfqEFqhMycSc/7RASus+UPaf4Fpf8NlBO6qB/bOXYFXbntjQhST9keNyOTHDzuNH1aIUrPz7O9jYqhcCuw/Jxfp0BVVcK5CO5dl+ECs7D8bkN9rixcd+hv/9zmP4+dNP45m//An3PvAtJK5a1aSKyzR8+HCMGzeuAQBoEguhNwAE599lZWV44YUXcP311+OWW27Bz372M9Gw2J/wpS99Sd6JRx55BMnJyadprAwWffr0wcMPP4xf/vKX+MlPfoLbbrsNv/nNb+S4zYmaPQB8FsQvgK32cxDQfffdh2uuuUY8rQwATvuqOVBjNQEbBQCLAewWYSWZmRj34stY0aot1EP7ySb3iFyOcNlu1nbyC7GsTQdMeOlllG/JlLp/nLcftSoHS86+oiN86BiG/O0lrGjXBzjlkVRdnq2PWPXHKrJ2YNi/XseSLr2BqlpSTrRYRB8HAam7czH3pfewrFU3qIWlcrleAoBqbgnO9QpL6jCjdW9Ma9Mb8/uNxHVXXIUf/+9PcTD3CJ76xc/wrQcfgJekcVM0lEwZJwA0pkbbXnKbiXv37o1nnnlGZgyee+45eQd4OvDmm28Wac73/KabbsJrr70mDjfnvjxF+4UvfEGAo866rn//+9+44oor5HguAFwEAGATRwJ+61vfkgd/+PDh2HqnjfhZ5wmcFQAcCorChTcMsy+AVl2BbFJvjy5fDqPsFPG3TyLrfIYqYbbcKPRwYgIyJo6DUlVMxwlD47LexJRh1gD4PkXJwPAGsWnGPBxelSplhfl2MEDYJcS0ylokjByDnKRkaS3GdQBV+7LY30LrDy5cjvx16eLpjxIzBkitryWgUjnyj9BiT+JGbF2UhGTSJm689sv4H2L8XXv34Mn//Qm+QVqAbZ41RhxDMnPmTJHgr776qphLfL9YjWfG5Klfp3nHxGZVVVWVfJ89e7YwM3cd/trXviZz7czYd955J7785S9j79695r1VzJRkBoovfvGLmDBhQmwZmxI8rdyqVSsXAJo72Q4UpsLCQtx9990CADk5ObH1TrWxuZkAAkwSmFtfCNQGhYjE0EdJcHO13zDC5cVQSoqIiWsQivpQR4p9BUl6vyTe0FFqyuArKWCXvmyvc96+DqvgJ9f5JIYmoAiVliFcViVz/dIOQDcLeMLKN6gtLyHTvi4GTWbykC4mBaIhGJ4aGAE/wnQsTiFmDSHAFQF5f44h8HFpcA0r5xEAfPVruO/+b+Gh738XX7rxevz1n3+XmgFNEZsAPAvANjir5L/61a/wNJkQ/P0Xv/gF/vGPf8Q0Pt2qR2gTP38WAD/84Q/FJLjuuuuQlJQkU228nFV7vv8mlpn7cSz+5z//eawi08R+N3iGhgGANYvmFIbsAkAj5PQBnDp1Ct/4xjdE3eMQS2EuhwbQVIDFZw0AquX6MwHAVAPsll1BIyqSXjznBARayAeN7O2gEoKHlpfTcp8wKTEogYJIfrL/OS3XsGp78eyCalXijfppa3aGkXTXI+YsQURKeJvlxuzuPYqwvAmsnI8QlVrAXPc/YtYEjAYR9Hnk/nJfQC5DxkAix7B4JnHpCnyJpOttd96Br1z/Ndx+z134cOwYAY2miHMB2JHH5tvChQsxf/58LFiwQMacOXOQkJDQAAD4mdrPmCNCH3jgAZw8eVLs96985SvC2Kz2swbw1a9+NQYATHwcnnVgoLj11lslgpDjMxho2Ix89tln5VguADRjcpoA7MnlF4ABgNXCeABoDtQYAChWIW9nDqAhZbU0cBmPICfTEINFeAoNZqfeCP0utt1raEnAAgvViEolfwXmDIEIcKsgR4PpMEuqq3bVX73hrA1P/NUJ7JiMygVIzRbg7FBU4OPCJDqDKTOfCSJ8PAYAziOwj7N4yRJxwrFDtlPHjvjKdV/Bd777CAKhUJP3hzWA6dOn4+jRo6LC8+BjMDPzJzvrGBxscnr7H3roIXnuy5YtE02BVXt2/DEAsFbIEZnO+At+X2688UZ5Huw4ZP8BmwI33HCDSH/ef9GiRS4AXAwgwC8Bx4/zC3PllVdiCb18rOadLZbg06b4kmCmpNes9hlaDAREphu6xcPmNJxiMa7JxKbd7uwNwFtphmKV7DZilX2czGKT6hgxRrIKinBpsECsmYfZr0CXbD5DnIrM5PXHZDNDExDhY4QUMy05v6AADzz4IL587RfxtS9+GUP6DcTgAQPF4fbvf/8nVgKrgLZjFd0m1gCYCfnZcdAU+3L489ChQzLY0RsP6Ozt52d+xx134P/9v/8nTP0gnZvB4tvf/jaeeOIJYWqW8E6hwX4GBgbehjWA559/XhyQfKwf/ehH+NznPidaiAsAzZicQRSszr344osSaMNx1vySNRYI0vwAwJz/1xt0AKgvoaHj9FqBDTKIY190q6+wo5aA0XjcnX7aWepXiDSHZYhwAU+rlr9tqDQ8p9XNSDOfg2pdW+6xPNN599rrePHv/8KksRPk8P369hXVmp1z/Du++c1vomfPnrHTswbgTAc+l+fPUppzLPh8nFjDz59jQTZv3izL+XwMKs5gG3vunz39vA+/NxyFuHr1anE88jKeQeB0XRcAmjHZc8GNzS3bmgF/2hGDn7U50DgAmJJcj2dN6RLUyPXG1xCIIUNDBrdL8Tfoxhvbp/4ADWYhNMu2ZqkuPgHFBAG71Vg8IkmjQs0qIGiei6cmG2sApkXVBozLAT+s1nMyjE22BuDc7mwBZefzrtg+g+YyLewCwAUCAH6wTueQLfF5ufOhf9ZaQGNVgZ3ddIwGIGD5BezIMXHUGadpBKbcNx2BFmfEtATx/tv1BKyj6rGSQ4YMQ3QPCwjqGwbVI4Il+3U0DgBsBqiRqFQM1qwiJlLIRIBBl1DnSDAEjTUErkUQDouUZ7Wc1eyRI0c2AIDzKQhia4DOkOH42QF7O+e74YwNcX53xhq4AHCRED8wjuiyH7rT5m8sNry5AYCz/58JAvVuOrNnoBF7KbkWf0QzRGMIkWQOkoTmIpw+PQSvGjSPY6eUWr35zKYhhkQEBjSrKLAcvh4A2L8Q1rnWv4FARIGPwDREjKpqYWkaqkjmgdFIwBIze5SYOhLTxLh3ADc0lR4CfA20jD3/iqbKLus2rBdfze23346vf/3reP3112O5ER8FAJx+Hlvrs0HfuY0NEk5md8b9y69pJoLCBYBzpPhioE0lfzilRHMDALsJaD0Q6Ja1besG5kvJdfnrAn5UE2Py3H951I/iiAdVBAGF0WqcClbTN0OkLwMiM53NsFwstEZTUKHq8Nonsj2IMD3/Xtq+LqCgxOPDcbKPSyrL4Q3UkjnA5T+jMtUXCwqKxSvoCHF1oECA7q9mMRFJYAYqSyPTrBkNdi4KAJD9z85ADt3l+fmrr75apuuY4n0A56Lm21PB8WDP57dBP56x7WXOhKH4d6m51ZZ0AaARauwBxb80zmCgz5p4GpAlnh1nzlK6ns1twWpdvx0TYLXmjuokadUIoiFuEqJIFF6w1iwTXqcEUR7xSVQee+Q1nucP06gOQi+pgur3SfefaIRVZusecUCO3wujitYrYYRZk4qy/U8SlJhYCZFKH6bz1NG+lbXQOXBINRr4HjTSFnSOLajzwOCy4xyApFvdfxzNgBkE7DYB5TU1yM7KkspNPAfPzjZ7eu6jAEBj70K8yh+//Fzfm+ZELgBcAmQDgK0BmBmADSsAm29f/R+69OPTzUAc3jLEFXsMVBcUoWznAWnewUU/PCSJg5ouDKeGIsJtx1K34OCyJOiBoIT2SNhe1Dp0JICTm7JQsCIRhs8jUpr4nbQFS3tiH0HUQMn2fTi1bY9850g/I1apnCsUR1C6bSdylixFtKKUzh2u/zVO2wb1SodNrKZzebR58+bFll1uRUFdALjMyDYBbJv3bN7o+u7AZjSfRPSxEU8gkDxqAhZ16YVoUYlwWYzXOL7f5wPp81jTfSAWvd8BKC4jpmatQJGyYmLNh71YTwy34rV3ED16hLSDIHxBBVVcvSbkI60gROK6FmkDRiKp/1CoZBrYjCzXwuxcWYWsYWMw8Z+vwpezX0qG2/1JJNXZOUPhADVWvZ2ONnsWxwUAFwAueQDg+ep6AFAdPb3qmd7pE1CtQCD2xfP0nEb2tnH8FGa/9T7G/u2fqMzMkth/7v8X5rBeUv8NJQLfjh1Y+15rJL38NuoS19DBSFMgtT/CKcQGMXfVKazt0BELn/kLKpKSYESD8IZCKKwoQXFtGcKBamDXPqS8/j6m/fs11O3ZLwlCfH1BlfsChaEW5GPt++0w549/R1XyRhOcrGYgaqzlueMX6WbkoW2TO4cLAC4AXPLEJgCnpcYKgkjpb800lFGfB+AMB1JjkYCmt97w1aFk7Xqs69wD6Z274+h8UqGjXnhCfmLggDjg9KAPmyeOxf7+A1AybDR29huKqKcSAbLTeXBfH+/BndjStSv2t+6IvaNGQfNUSRfhcm81KgI10LzlqFu6Eid6D8HmTj2Rt2QlmRtBue6QGiIQ8aMicyO2tumMvG4DcHTyXMAbiWUYRmONTuzm5KpMC4rvwPLJOINzmD6OD8AFAJeaPXE6Kju9GswCnKYnNyTbDDABgLbz1iF1xCjsHjMOpYsWI6VfH+j+GitW34wnDFWWY0m3jjiRuARa1iaktu8KT14uAoYKj2YmABemrUFGzx4ILl6KjT16oI7DbGFm/nHsv1ZehG39BsA3fzFOTJ6Jjb0HQ6ussy5TQzhciQPzZ2LPgMFQl6xAevcBQI1PAptqaZs6VY8dT2087vA056yzIIgLAC4AXHLE8excAptrFxiWc4/bfXMMP3vOZaiK9ODTuZaf6bKXFtxhJWKq34VlmNulB06sT4Wydw9W9OqJkgP75fi2VV2xYw8WdOmI8NE9ZC4UYHXP/shJXCvg4CdTAX4/dsyagayRH8I4kINUYvSClA3i5OOYAa4BWJWzFymduiC4eRvK16QhoVVX+PNLY2p9qLIEa4cNQcnKFdA3ZyOxE4FJQZHIenZGhlSzDblfCyKoh6S2Aac2m3PxDct92VqAnQ3onMZ1AcAFgEuGjh07hj/+8Y8Sg96ndx/0IAncuVcXdO3VFb1698CAPr0wlJaP6NUHo/v1x5QPR6LwyBGJt1cIAJjxirNzMK9rb/hPFZKorUbK0KHIWZEojCmJOmENWeNnYv3I0YQEtE1dLbKmzsbqfqNgeIPQogQwRWVIGTAEx1NSYHjKkTNrHjKGT0Kkoi4mpI+lpCGlR29ox04gevAYElr3QPEmK51WM1CwdRtW9O0PI+8IgcxRrOo3ENmLlsaYNhoIIXVZAoaPHoZ+I/qj/5C+6D+oDwYPGYhBgwZLCDCn8HLmXQ/SQHj87ne/ixUFja/75wKACwAXNfGLzEkqnNs+d+5cqXwzfeYMTJw1HZNnTpc02JlTJ2POpElYNGkyFk+YiCEdO2PDkmXQuDmH3wsE/Ng3aTGSh42TisGsim+aNgsbh46ByuW/SYIHj5dgabs+qMzYJpWDmMr3HMLK1n1Qmr2T7PgI/NsOYlmXPqgrOM7cDM+2vVjRth9ObTar+OpeP3LGzEb2qIlkcgSAMg82DB6LbdMXW9ODOtZOnI7MGXNI3PsJZCpxaNkKLBg0CCrXByT1v2LPYUzp3AcjhwzBpKmTMGHCWEycxGOc5AFMot/JzC6/m+4FV/PhPAA7lbs5ZXG6AODSxyY7PfmciEuFh0Io2L4dswcPQek+UvEDASjHjiO5+zAcTd4II2p2AS7J2oKkTr1Ru22nTMPtXJ6A5Z37QS0oQTgUQB1P3wUUZAwZj21ky3NTj5PJ6UjuPQThSg9E5Jd5sabfaGydsUSKe/qP5GFdx4EoWZcpyT6Gpw77liRg3dCx0MqqSbOow4p+Q7Fv9VpEPR7pY1CxaTsmd2iHiuNHpBvRtpnzkTFulmgC50vx5cBdcgHgoid7ustZoZgDgaKqWZiDSTzjBBRhYqCIh6R+TTVmkZq8g6QrB92UZ2RjeSdi7uOnSJUPko1NZkF5FVaTpC1aSWZAdSUSBg3ErqlzYZTUIBCOoKLKI8c+umoDUvsMBApOYf/0+dg0chKM6qAZ3efXsXfeSqQOGE5gUItTazZifccBME5WmGq4EkYlgdDqngMQ2bYPlaRJrOw7GMXbd6Oq6BRCwQDC+45gRse2OLR1A2kEVVjUqSv2L15r/vYY8JmzAU1F4jVWk98lFwAuKRCI5SvIW4/6KXIOwTXMKT9dj5KED0g6bs6qRCzp1hMg1X7/jAVIGTiCJKyfpCTXv+d6gTo2Dv4QB8aNQXXGeiQO7QPP1u1mhCAdOmxlA3oP5yKxfXuoGzZgx/ARyJm9kDQDDiqijciaKEzLwvLu3VBNUn9f/5HYOmyiqPKSbMRRiEoImb0GITRtKXYMnYD1o8dDJ+kfkToAdAwCk/SJo5G9cjqq9mzCgnbtENh3Un4j9x5QrcYgDeMBGwcAJwi45ALAJQUA9ssei1fnqTvD8r5bZUEkHkA3KwIHTxVied8+ODZ7DnYNG4G9y1dA9dZB10KIwiz/fSwxCTu698ShIcOxd9YUGFWlUqbbivxFlGPzvTU4MnYijg4age39h5A2sdn0+nNwoBJF3ckCZH04GnuGjURGp+44sSpVgMPHiUI8lacFcXjGDOR264/dPQaiaO0GSTiqoWv0cqJQOISKdcnYPWQQ8oeMQP6k6TAqahCh38XXwCXIpcIQmo5+PFMHHRcAXAC45MiQEBm71s7p68wUGhX5KYmY9drLSGnTCjUH90ALeEU7CND6qB6CeuIYVv/3XSz7+0soTiJTQAqD6ZwyYDb/1NlfEICxZRdm/+55rG/dFUZhCSKhoJT6ChohwgI/ypI3YOY//olV7dpCP3ZSgnq45qCXMwoVH3xZG7D0ry9g3RstEDmSD64dXKQGUKFFSZnwk5ZyDNmvtkDSb/8BZO0gwAtK5mJYKp/oZvEQuAztAoBLMSbXrKp/1gKhWM0NyaqLouJADia0eBPLunREdd5h4saIFOLgzj8claeWF2NVp86Y//Y7KN2SYSXl6PV5OewrIEbVjh3HjH+9hg2kyqPKi3CNz6pGzlF6EXg378D4v/0d67r1Bk5V8YS+GdrLIcsRAoucHCz55ytY26It1NxChOr88KvM/DoCXJW4tgLru3TFglf/CyM3D5AypVZUIJcH0AwXAFwAcMkJAXoTAKBY8f+GGpYw3sKdW1CWswOesiJRpTmPIMgZfCR9FU8VKnZtR+mOLQiXHiPV3G+WAmMbQDXNDIW7BVWUonTTJtp2F3Q/Sf2gmRrIufoRJQjlxHEUpqejeucu6QxkRMzawFIMPBpE5EQBKjOyULd9J4zSCoSDYUkf5vaGCgERvJWo2bMd5VuyoJWYJbUVwxx2cSNXo3cBwKXGAMAhHPkjzMzNtfatgFo7PUiCgjkpiHP2hTk1y1SIWqzql7r+LLTFwcdNgaTSL8GJFoRtg0udAc2s3ucXOz8iLcWc18YAFJb13GKM/4o2WC81RTTTzlBVnuYMWtcRlaaldmkTXceZTH+XXAC4XNnfsIp4aw2LfEpUn1mmK2LPDHCYMNfjhxFjXC7iEZbSX5qo8JwVqBlc3EOTzFzRAIg5GQyYHTXuMiTtuTUp1WU3D+Fy31xejDULXXNUyZFS4LpZEhxmyXD+267/r0vxARMAuGahIr2MQvR/yOpj4PhNmgkErlPvYwCAe/MuDwAwzMxZq+GGXl8pyO4NYO0f0k2ZrEnZHYuB6XgCAHZVUMVMOJTy47pZB4wZV94lq8GAnEdOqktLMV2rr53HMQpczFMCADWzkZlcKqf2auYxDKtWmCJJwhEEBYRM84LjDCThUTWLiNiNSC7YPYxrty3X7Kiz0FhOwdkqAjXHuoACAG5gxKUHAGqsNyCaLPPtJOcqu3KgWZ/TiCXc2bl3tuQ19Ia5eEbDi4jVHjitYUB86XE97iCieHABUC12nBC3JeeGpvyraLkeJbBRzEakxplnAc+bnK3hGqvp5/zbydSNMbi9PVctbg4FZBsFgOZ4YS59HACANdEXx+FNVNJpEgxsae9gMLWR4QQOy1KP1eqL76ygxq3THIDjPJWtIdjMKH0GbWlqFQBRwmRAqFaZsQv4+tpS264oFC/l47MNz7TcBgkGAK5W1CwBoDlemEsXBgAadvoxTh+NIEGDGoJN1OCLlRw3rLojpqYvJoJq1LcI0OMOr8UNZ5WihstMX4A0GuV8B7VhN2bnEEa7wE05bGkef574czuBgisG2yXJ4qsA2yNq9TloVgDghkdeegDQQJqiqYZgDbpxnPmARsNjO7v+NBDpTi2jyV5h5/YruN5gUIkiTEwTCYUwdMAg/Pf1N9CmTRu0eO8dvEejzQfvo7j4pN1d4OPfO0cDDy6D3qFDB7zzzjvo3r279BDklGse7777rrQct/slMPPbzM3L1qxZI0VaXn31Vdm/devWsSrFzQ4AXJa59ADAqVYrlk9AFb++atUAUqzm3IoVNdg4iNi87WjdKS7DKPT66Psz4Ej9tWixzsDObc0WIiqcBoOprGiSuxDUIgQCikj41Umr8cBDD+DKL12NB75zPx64/z5cc+UVWLl6hSMx6MIQMzUXWeFuvr169ZKya9wVmJt8ct9B7hp87bXXIiUlpQFTc1PSP/zhD7j33nulP8Fjjz2G73znO9Kv4D//+U+sdHuzAgBX+l96ANBQrTasPsHmDLrhWGL/M84AIloD3jaPbs0xnL5Tk9dinq2ew+sBwGhgAFj7SBswxYQrx/u5eOkSXHHN51DjqcbO7Vtx7dVX4eFHHoLHV9eAERtcw1lU+PiEIZbULLW5uciPf/xjLF26FD6fD08//bR0/d2zZw/69u2Lz3/+81JpyD4uEzcHve+++6T1eHp6eqx/BBdtveKKKxo0LW02AODOArjULIHMqPei23b20iVLcP3XrkfLli1JxX4FX7/lFgwdOtRsW+bYzmZKZ7o0l0zj/ViFZzOibdu2opp37doVoVB9fYG0tDR8+ctfFinObcaY0bkj8F133SWmAFNpaan0IeSiI0y22cCVmRkAuDnJli1bYsd8//33RXvgczc7AGguHW5ccsnJvEy2f8puCbZixQrpAcjq91VXXSUMbDO9s2Er2+N2sRRbwB09ehSPP/64jCeeeELG9773Pfz6179GIBCInTs7O1uYm6U9V1ni7ficDAS2BGd/ADO5DQDs5WfyeDz41a9+JQ1KExMTYyDEZsEjjzwiGkKzAwCX+V1qbtTYHDsTO9eYGZ9//nncfPPN+OY3v4n8/PzYNgwCDAjM/PGNO5k5ExISsHLlSmFOHgwo3E7M2fmXNQAGF7bzmTe43Bq3HOfeg3/9619RW1uLuro63HjjjTETwAYqBpJly5bhl7/8pezPx+7UqRNuu+02kf6nTp1yAcAll85GdpNNJwOz9GRHGgMAF/1kNZ4Zs127dqep/s7ejTaIcF1Adsaxes+fPJipWTKzjW/vW1JSgueee05MAK64zGDDXYf5fKwFLCEzhOsP8vdp06Y1ACg2M/70pz/JPtdcc434AniwQ/Bvf/ubaCzNDgDc182l5kb29Jq0L7eCaFq1aiVMef/99+M3v/mNmAVsx7MmMHr0aNmHQYI986y6O1t7M0CwdN66dSs2bdqE7du3Y9u2baLu79q1K2Y+2MJwzpw5eOCBBwQI7rzzTvmb+y4wWPzlL38R6c49CHmZM2aAHYjs+b/nnnvE1Hj00Ufx3e9+F9///vdx0003ScViFwBccukcyBlMwwzMDjaeZmNVnlVwGyiqqqrEvuc5ewYHlrisdjM5qyWd7VxOzYFjAPhczOCs8tvE5+VlfC223W9fh+1/4G1sM8G+Xv6bBx+3OTndXQBw6ZIgnnJju53Ve5a2LOHdEuAuALh0mRCr9Xfffbc4BVlNZ0ecWwHYBQCXLhOyQ3jZBue5+y5durg3xQUAly4XKi4ulth87gLMzjaeJbCBwSUXAFy6xGnjxo0ypcex+//3f/+Hw4cPu8zvAoBLlwuxR76wsBAFBQWxrDsmFwRcAHDJJZdcAHDJJZcaA4D/D0ij2gK1VgZHAAAAAElFTkSuQmCC)
Answer:1. Equivalent Resistance
Formula used
Parallel Resistance formula
![](data:image/png;base64,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)
Series resistance formula
![](data:image/png;base64,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)
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Ra = 8Ω
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Rb = 10Ω
Since Ra & Rb are in series, so total resistance is
RTotal = Ra + Rb
RTotal = 18Ω
2. Total current
Ohm’s Law![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADsAAAAXCAMAAACClcfMAAAAAXNSR0IArs4c6QAAAFdQTFRFAAAAAAAAAAA6AABmADpmADqQAGa2OgAAOjo6OjpmOpDbZgAAZgA6ZgBmZrb/kDoAkNv/tmYAttu2ttv/tv//25A627aQ2////7Zm/9uQ/9u2//+2///b3qXM3QAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAAwUlEQVQ4T+1SyxKCMAxsQQFFLUWLVfr/32leYr2QOuORHNJMyXaXTYzZotgBZ201mARHfVsHYU9DnRCHKzZ7gBq42t81vrlvoIXy1BIq2gvdYNaIEZsc5iAorKOmeEExNtrjotZj+QsvaTYBjvlE5Ts8+YHBLRzMSHlqmesBZ9Sd+mCzJ9HiEskZ77PfyUBDPZ6/Z6tqjjBpEd1JtW5W9r/JiRGwKvpw4dlsN8AkcciXOEXbyDuJKr2ttJlu3//jwAtBAAqhCixFpQAAAABJRU5ErkJggg==)
V = voltage
I = current
R = resistance
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHUAAAAXCAMAAAAC5vDfAAAAAXNSR0IArs4c6QAAAIpQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OjoAOjo6OmY6OmaQOma2OpC2OpDbZgAAZgA6ZgBmZjoAZjo6ZjpmZmYAZpC2ZpDbZrbbZrb/kDoAkDo6kGY6kLbbkNv/tmYAttu2ttv/tv//25A627Zm27aQ2////7Zm/9uQ/9u2//+2///b7GUMWAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABrUlEQVRIS+1U21LCQAzNgkC9IVXwglW76ha2tP//e+a2Wxh2bB+c8aV5KC2b5JycJAsw2qjAnyqw25SUr92tjZmV0BbGTORn+t0PpNFQXWHYC/sfNvj6vE/EUtIFu6w1uTVbOOQEZBEUWRTzVOBprhjtJluAyqzwuM7u9lBli1R0kzNoffvlpCRL3868Anh6QJPT83eL0W3B2SwSbXJmy5nOTP3o/EhIBhRCfoi+ITqgYqDngrFi5gHWmPneGeWQRrUEJdpaDu415eyxP1BRa7RI1VL61RZaeBK1zvjUoWNzjxk6Q8pq3PTOglK7jIfwHJVqcKGCFGpbyGmdrcAPmCVmKI2gkOOp0DbJ0c0ysEygxr+I3kCBFVWawk/GJ6w4TSSdWgLVxmF308+H013tUVi7SGOhibsZbR6f4mCeozqi65XotUxgv0l2XW7aHKgvsbTQLHx7K+NkBUrUGRFAnEVYvEP6l1UYabQzdDXg0vgF0Oz4JVRMnDPqNoWlhPYdZ89c4FWmGjIqr/sA66L5Rpx9UD9pQTkbpUL+E6xVPviaHSriAPjRZVTgnxT4AUbPKvZBCAZsAAAAAElFTkSuQmCC)
I = 0.66 A
Question 41.Find the electric current in the following circuit:
![](data:image/png;base64,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)
Answer:(a) First, we will find equivalent resistance.
Formula used
Parallel Resistance formula
![](data:image/png;base64,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)
Series resistance formula
![](data:image/png;base64,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)
![](data:image/png;base64,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)
The highlighted (yellow colour) resistance are in series with each other and is in parallel with the other one.
Ra = 30Ω + 30Ω
Ra = 60Ω
![](data:image/png;base64,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)
![](data:image/png;base64,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)
Total resistance is 20Ω
(b) Total current
Formula used
Ohm’s Law
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAADsAAAAXCAMAAACClcfMAAAAAXNSR0IArs4c6QAAAFdQTFRFAAAA///b//+22///tv///9u2/9uQttv/ttu2kNv//7Zm27aQZrb/25A6OpDbtmYAAGa2kDoAOjpmOjo6ADqQADpmZgBmZgA6ZgAAOgAAAABmAAA6AAAAYAKQMgAAAAF0Uk5TAEDm2GYAAACxSURBVHja7VPLEsIgDAxVq1AKwWcp+f/vdEhpRccRevHUHAITstllBwC2qA5HFCQIRzTuf3fGHuRMROdjLNkg+eC6K9E0A86584xSpLmiixKFwyX3CRX3qqT4A6vILGqtgXW8rJmX5iHzLktzBPkV2/mJq/UGVNmpFzYbGUXXSM54D8Mt2dOPp/u7U0XNihCS6AvCKl4QLg0VjnQNNnsb0PrkkK1xKnuTyNcK24f+TzwBad4Ned3DtW0AAAAASUVORK5CYII=)
V = voltage
I = current
R = resistance
2V = 20Ω x I
I = 0.1A
Question 42.Determine the equivalent resistance between points X and Y in the following circuit.
![](data:image/png;base64,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)
Answer:Formula used
Parallel Resistance formula
![](data:image/png;base64,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)
Series resistance formula
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAI4AAAAXCAMAAADqSoexAAAAAXNSR0IArs4c6QAAAHVQTFRFAAAAAAAAAAA6AABmADpmADqQAGaQAGa2OgAAOgA6Ojo6OjpmOmaQOma2OpDbZgAAZjoAZpDbZrbbZrb/kDoAkGY6kNv/tmYAtmY6tpA6tpBmttv/tv//25A627Zm27aQ29vb2////7Zm/9uQ/9u2//+2///bzpB9+wAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAADsQAAA7EAZUrDhsAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABg0lEQVRIS+2WW3ODIBCFl0QTe7UXW01Tm+Dt///E7iIaICgwPLUT3oiccz52d5gA3NatAv+jAkPBaD0cY68TbGQX9Pke4JRtPmN5HEZD8W4kWAVDgThQM/NwMJ3D6BrHKhh/bNhzcL4hcBgt4RjJkjG+WQ6jxeroycLllAUUpxTDT0tzchgt4JjJYsDjawOwYmS/gFVAl+ry5HttdGpG8+VYDiN7dWTyJUDUuBnzajVV3ZTqh7VmSSML+UKzpGAOEDhDIdqlpyoIGudClVQjfxwzWTxG0GYphwNOUcq7F8Ye580HoyfAB0cxgm6UqWvhGRyTodxVbINPH80T8ZQ0zlQdvCTvCJE2ff4GFR73wFGNJtkqjp68PUK9NQaYCNo7bBt9mTrX+OGY/SGZ/5qTVckFB70Ezs899c+nOlq0lMXipPyMI8A7Gu8SNw12sMZHoNqFXBUmWQBOyoeD2aw227xCi6P8hOm06QuWfLF9czWY60FS5k8DJXYhif5TERD4F4/+Ak57IvF7nd4PAAAAAElFTkSuQmCC)
![](data:image/jpeg;base64,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)
The two resistors highlighted with yellow are in series to each other & both of them are parallel to the 10 Ω resistor.
Equivalent resistance = 5Ω
![](data:image/jpeg;base64,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)
These 3 resistances are in series.
Hence, total resistance is 15 Ω
Question 43.Two lamps of 100 W and 60 W are joined in parallel with 220 V lines. How much current will flow through the circuit?
Answer:Given
Lamp 1 = 100W
Lamp 2 = 60W
Voltage (V) = 220V
Formula Used
Ohm’s Law
![](data:image/png;base64,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)
V = voltage
I = Current
R = resistance
Power Formula
![](data:image/png;base64,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)
P = power
V = voltage
R = resistance
Parallel Resistance formula
![](data:image/png;base64,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)
Resistance of lamp 1
![](data:image/png;base64,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)
R = 484Ω
Resistance of lamp 2
![](data:image/png;base64,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)
R = 806.7Ω
Since, both the lamps are joined in parallel; Hence total resistance will be
![](data:image/png;base64,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)
R = 302.5Ω
Using Ohm’s Law
![](data:image/png;base64,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)
Total current = 0.73 A
Question 44.An electric heater consumes 4.4 kW power when connected with a 220 V lines voltage then,
i. Calculate the current passing through the heater.
ii. Calculate resistance of a heater.
iii. Calculate the energy consumed in 2 hours.
Answer:i. Current passing
Formula used
Power formula è P = VI
P = power
V = Voltage
I = Current
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I = 20 A
ii. Resistance of heater
Formula used
Power Formula
![](data:image/png;base64,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)
P = power
V = voltage
R = resistance
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R = 11Ω
iii. Energy consumed in 2 hrs
The power is 4.4 kW; It means that 4400 joules is consumed in 1 sec
In 2 hrs è 3600 x 2 secs
The energy consumed will be
= 4400 x 3600 x 2
= 3.168 x 107 joules
The SI unit of electric charge is......
A. ampere
B. volt
C. watt
D. coulomb
Answer:
In SI unit system, charge is measured in Coulomb(C)
Charge on electron = -1.6 × 10-19C
Question 2.
What number of electrons will be there in 1.6 C charge?
A. 1017
B. 1018
C. 1019
D. 1020
Answer:
As 1C = Electrons
Question 3.
1μA = --------- mA.
A. 10-16
B. 10-3
C. 103
D. 106
Answer:
μA = 10-6A
mA = 10-3A
Question 4.
Which of the following materials has more number of free electrons?
A. Copper
B. Glass
C. Rubber
D. Iron
Answer:
As metals has most number of free electrons and from the choice above copper and iron are metals.
But when we know that more the current flowing in a conductor more are the free electrons. So, copper being a very good conductor has more number of free electrons.
Question 5.
According to Ohm’s law,
A. The resistance increases with the increase in current.
B. The resistance increases with the increase in voltage.
C. The current increases with the increases in voltage.
D. The resistance and current both increase with the increase in voltage.
Answer:
The Ohm’s Law state that, the potential difference (voltage) across an ideal conductor is proportional to the current through it. The constant of proportionality is called the "resistance", R. Ohm's Law is given by: V = I R where V is the potential difference between two points which include a resistance R.
Question 6.
The formula for an electric current is -----.
A. I = Qt
B. I =
C. I =
D. I = Wt
Answer:
Electric current means rate of flow of an electric charge.
Question 7.
The amount of 2 A electric current is passed for 1 minute through one conducting wire. How much total electric charge will pass through this wire?
A. 2 C
B. 30 C
C. 60 C
D. 120 C
Answer:
1 minute = 60 sec.
I = & I = 2A.
2 = . So, Q = 120C
Question 8.
In an electrical appliance, the electric current of 4.8 A is passed, then the number of electrons passing through it in one second will be ------------
A. 0.33 x 1019
B. 3.3 x 1019
C. 3 x 1019
D. 4.8 x 1019
Answer:
Given I = 4.8 T = 1sec
Using I = we get Q = 4.8C
Since 1C = electrons
So, 4.8C = = 3 x 1019 electrons
Question 9.
Which of the following formula represents the voltage?
A.
B.
C. Work X electric charge
D. Work x electric charge x time
Answer:
Voltage is defined as Work done per unit charge.
V =
Charge = I x T
Question 10.
The unit of electric potential difference is ---------
A. J
B. J/C
C. 5 V
D. 45 V
Answer:
Voltage is defined as Work Done per unit charge.
V =
Question 11.
If the work is to be done to take 3C electric charge from one point to another is 15 J, what will be the potential difference between these two points?
(A) 3 V
(B) 15 V
(C) 5 V
(D) 45 V
Answer:
We know that potential difference b/w any two points is work done to carry charge from one point to another. So,
Question 12.
The resistance of one conducting wire is 10 Ω. How much electric current will flow by connecting it with a batter of 1.5 V?
A. 0.15 mA
B. 1.5 mA
C. 15 mA
D. 150 mA
Answer:
V = I x R
V = 1.5V & R = 10 Ω
Hence 1.5V = 10 Ω x I
I = 150 mA
Question 13.
On which factors does the resistivity of conducting wire depend?
A. Length of wire
B. Area of cross-section of wire
C. Volume of wire
D. Material of wire
Answer:
Resistivity depends only on material of wire.
Question 14.
If the five equal pieces of a resistance wire having 5 resistance each is connected in parallel, then their equivalent resistance will be -----
A. 1/5
B. 1
C. 5
D. 25
Answer:
When resistance is connected in parallel we use the following formula
Question 15.
The unit of resistivity of the material is –
A.
B. m
C. /m
D. m/
Answer:
R(Ω) = ρ x
Question 16.
What will be the resistance between points A and B of the following electric circuit?
A. 1
B.2
C. 5
D. 10
Answer:
Since all the resistance are in series, so total resistance will be sum of all the resistance.
Question 17.
What will be the equivalent resistance between points A and B of the following electric circuit?
A. 4
B. 8
C.2
D 16
Answer:
The two 4Ω resistance are in series & are in parallel to 8Ω resistance.
R1 = 8Ω & R2 = 8Ω
Question 18.
The equivalent resistance between points A and B in the following electric circuit is. ---.
A.2.5
B.5
C. 12.5
D. 20
Answer:
The two 5Ω resistors are in parallel which is results in 2.5Ω in series with the other two 5Ω resistors.
Parallel
Question 19.
Which physical quantity has a unit of kWh?
A. Work
B. Electric power
C. Electric current
D. Electric potential.
Answer:
It is called kilowatt hour and is a unit for energy and is especially used in electricity bills.
Question 20.
1kWh = --------joule
A. 3.6 x 106
B. 3.6 x 103
C. 3.6 x 10-6
D. 3.6 x 10-3
Answer:
1 kilowatt hour
1 hour = 3600 seconds
1killo = 1000
1 kilowatt hour = 3600000 = A. 3.6 x 106
Question 21.
An electric heater consumes 1.1 kW power when 220 V voltage applied to it. How much current will be flowing through it?
A. 1.1 A
B. 2.2 A
C. 4 A
D. 5 A
Answer:
Power = Voltage x Current; Power = 1.1kW = 1100W
Voltage = 220 V
Hence, Current
Question 22.
What makes the electric current flow through electric solution?
A. Only free electrons
B. Only positive ions.
C. Only negative ions
D. Positive and negative ions.
Answer:
The solution that conducts electricity are called “electrolytes”. In electrolytes, the electric current flows due to both positive and negative ions.
Question 23.
The distilled water acts as ----- for the electricity.
A. Conductor
B. Insulator
C. Semiconductor
D. None.
Answer:
In distilled water there is no free positive or negative ions hence it acts as an insulator.
Question 24.
What is an electric charge? Give its types and write is unit.
Answer:
Electric charge is the physical property of matter that causes it to experience a force when placed in an electromagnetic field. Electric charges are of two types: Positive electric charge (proton) & negative electric charge (electron). Electric charge is an intrinsic (independent) property of electron and proton like mass.
The SI unit of electric charge is Coulomb.
Question 25.
What is a free electron? Explain conducting and non-conducting materials in terms of it.
Answer:
In atoms, electrons move around the nucleus where protons remain bound. In some material like metals, under normal circumstances, the attractive force between the valence electrons (outermost ones) and nucleus is comparatively very small.
During the formation of metallic materials, these electrons get separated from their parent atom and move in a random manner. Such electrons are known as Free electrons.
These free electrons are responsible for their electricity conducting property.
Question 26.
Give the definition of an electric current and define its unit.
Answer:
The net quantity of an electric charge flowing through any cross-section of conductor is defined as electric current.
Thus,
The SI unit of current is Ampere (A).
Question 27.
Give advantages of series and parallel connection of resistors.
Answer:
The total resistance of the circuit increases by connecting the resistors in series hence, the current decreases. Thus, to control the current in the circuit, series connection of resistors is useful. Moreover, the fuse is always connected in series with the mains. Therefore, whenever there is short circuit in any electrical appliance, the fuse wire melts and stops electric current. As a result, damage to electrical appliance can be prevented.
Whereas, the advantage of parallel connection is that when we connect three bulbs in parallel all will get equal voltage and therefore will give equal amount of light irrespective of each other. Secondly, if any appliance is affected/fused, it will not affect the other appliance. When we need more current we use parallel connection as resistance gets decreased resulting in more amount of current.
Question 28.
Write Faraday’s laws of electrolysis.
Answer:
On passing the electric current through electrolytic solution, negative charge moves towards positive terminal and positive ions towards negative terminal. This process of separating the ions is called electrolysis.
Faraday’s First Law – The mass of substance (metal) deposited at cathode on passing electric current through electrolytic solution is proportional to charge passing through it, M ∝ Q
Faraday’s Second Law – For a given amount of current passed, the masses of different elements deposited on cathode is proportional to their chemical equivalent (e).
Question 29.
What is an electric potential? Give the definition and unit of electric potential.
Answer:
On bringing some electric charge near any other charge, an attractive or repulsive force exerts on it. Thus, the work is to be done against this force keeping a charge in equilibrium and to move another near or far from it. This work is stored in the form of potential energy. This work done on the charge is called as an electric potential.
The Work required to bring the unit positive charge from infinity to any point against electric force is known as electrical potential at that point.
The SI unit is joule/coulomb or volt (V).
Question 30.
Explain the series connections of resistors and derive the formula of equivalent resistance.
Answer:
The resistors are connected across two points in the circuit in such a way that the current flowing through each resistor is the same and only one path is available for it to flow, then the resistors are said to be connected in series.
From the figure, if voltage drops across R1, R2 & R3 are V1, V2 & V3 respectively.
Moreover, same current I is flowing to all the three resistors.
Using Ohm’s Law
R1 voltage drops across V1 = IR1
R2 voltage drops across V2 = IR2
R3 voltage drops across V3 = IR3
From above three equations
IR = IR1 + IR2 + IR3
R = R1 + R2 + R3
Question 31.
Explain the parallel connection of resistance and drive the formula of equivalent resistance.
Answer:
When more than one resistances are connected across two points in the circuit such that more than one paths are available for the current to flow and voltage drops across two ends of each resistor are same, then the resistors are said to be connected in parallel between these two points.
From the figure above, suppose the current flowing through resistors R1, R2 & R3 are I1, I2 & I3 respectively.
Hence, I = I1 + I2 + I3
Using Ohm’s Law,
And
From the equations we get,
Question 32.
Explain electrical energy and drive its formula.
Answer:
Electrical energy is the energy newly derived from electric potential energy or kinetic energy.
Suppose the electric current is flowing through some resistor (R). To flow this current continuously the battery has to provide energy to every electric charge. Now, the work required to keep the charge Q in motion by the battery of voltage of V is
W = VQ
From the definition of electric current,
Q = It
.: W = VIt
According to Ohm’s Law, V = IR
W = (IR)(I)(t)
The above equation is called Joule’s Law.
Question 33.
Draw the figure of voltaic cell and explain its construction. Explain flow of current in conductor through this cell.
Answer:
A voltaic cell is an electrochemical cell that uses a chemical reaction to produce electrical energy.
As shown in figure, take solution of dilute sulphuric acid (H2SO4) in a beaker. Dip one copper plate and another zinc plate in the solution in such a way that they do not touch each other. These two plates get electrically charged due to the process between these two plates and the solution. The positive charge at copper plate and negative charge at zinc plate get deposited. Thus, electric potential difference is produced between two plates. Positive charge plate is called positive pole of battery or anode and the negatively charged plate is called negative pole of battery or cathode.
Such a simple battery was invented by Italian Scientist Alexandro Volte (1745-1827). Therefore, it is called Volta’s Cell.
The electrons flow from cathode towards anode.
Question 34.
What is electrolyte? Describe the experiment showing flow of current in electrolyte.
Answer:
An electrolyte is a substance that produces an electrically conducting solution when dissolved in a polar solvent, such as water. The dissolved electrolyte separates into cations and anions, which disperse uniformly through the solvent. Electrically, such a solution is neutral. If an electric potential is applied to such a solution, the cations of the solution are drawn to the electrode that has an abundance of electrons, while the anions are drawn to the electrode that has a deficit of electrons
Setting up the experiment as shown in the above figure. When we switch ON the circuit we observe that the bulb does not glow.
On adding some salt in the distilled water, we observe that the bulb has started glowing.
Question 35.
Write Ohm’s law. Describe the experiment showing Ohm’s law and write its conclusions.
Answer:
•In the definite physical situation, the electric current flowing through the conductor is directly proportional to the potential difference applied across it is known as Ohm’s Law.
•To verify Ohm’s Law experimentally we set up the following circuit
In the following circuit, we have taken 0.5 meter long nichrome wire, four to five battery of 1.5V each, Ammeter and key.
•Now, when the key is ON, the current will flow through the wire. Measure the current in ammeter and potential difference across the two ends using voltmeter and note In the following table
•After this, plot the V vs I on a graph paper, we will observe something like this
•We will observe the following points
1. The electric current in the conductor increases in same proportion with increase in voltage.
2. I-V is a straight line
3. The ratio of V and I remains constant every time.
Question 36.
What is electroplating? Explain it with example.
Answer:
Electroplating is a process that uses an electric current to reduce dissolved metal cations so that they form a thin coherent metal coating on an electrode.
To understand experimentally, let’s take a solution of copper sulphate in a beaker. In this solution, the iron spoon which is to be electroplated and a copper plate are taken as electrodes and are connected with battery and key as shown in the figure below.
On passing the current, the CuSO4 which electrolyte in the above case is decomposed into Cu2 + and SO42-. As Cu2 + is positively charged, so it moves towards negative terminal i.e. Metal spoon and deposits on iron spoon. Thus, on iron spoon the plating.
Question 37.
If 400 mA current flows through the bulb for 1 minute, how many electrons will pass through it?
Answer:
Given
Current (I) = 400mA = 0.4A
Time (t) = 1min = 60sec
Formula
I = current
Q = charge
T = time
Q = I x t
Q = 0.4A x 60 sec
Q = 24 C
Since 1 coulomb contains 0.625 x 1019 electrons
Hence 24 C contains 24 x 0.625 x 1019 electrons
= 15 x 1019 electrons
Question 38.
The 1800 C electric charge is passing through an electric bulb in one hour. How much current will pass through an electric bulb?
Answer:
Given
Charge (Q) = 1800C
Time (t) = 1 hour = 3600 sec
Formula
I = current
Q = charge
T = time
Calculation
Current = 0.5A
Question 39.
The three resistance of resistance 5 Ω, 10 Ω and 30 Ω are connected with a 12 V battery in parallel. Determine (a) total current in the circuit (b) equivalent circuit resistance.
Answer:
Given
Battery = 12V
Resistance (parallel) = 5 Ω, 10 Ω and 30 Ω
Formula used
Parallel Resistance formula
Ohm’s Law
V = IR
V = voltage
I = current
R = resistance
Calculation
To solve part (a) we first have to solve part (b)
(b) Equivalent resistance
Hence, R = 3 Ω
(a) Total current
I = 4 A
Question 40.
As shown in the figure the resistance are connected with a 12 V battery. Determine (a) Equivalent circuit resistance (b) Current flowing through the circuit.
Answer:
1. Equivalent Resistance
Formula used
Parallel Resistance formula
Series resistance formula
Ra = 8Ω
Rb = 10Ω
Since Ra & Rb are in series, so total resistance is
RTotal = Ra + Rb
RTotal = 18Ω
2. Total current
Ohm’s Law
V = voltage
I = current
R = resistance
I = 0.66 A
Question 41.
Find the electric current in the following circuit:
Answer:
(a) First, we will find equivalent resistance.
Formula used
Parallel Resistance formula
Series resistance formula
The highlighted (yellow colour) resistance are in series with each other and is in parallel with the other one.
Ra = 30Ω + 30Ω
Ra = 60Ω
Total resistance is 20Ω
(b) Total current
Formula used
Ohm’s Law
V = voltage
I = current
R = resistance
2V = 20Ω x I
I = 0.1A
Question 42.
Determine the equivalent resistance between points X and Y in the following circuit.
Answer:
Formula used
Parallel Resistance formula
Series resistance formula
The two resistors highlighted with yellow are in series to each other & both of them are parallel to the 10 Ω resistor.
Equivalent resistance = 5Ω
These 3 resistances are in series.
Hence, total resistance is 15 Ω
Question 43.
Two lamps of 100 W and 60 W are joined in parallel with 220 V lines. How much current will flow through the circuit?
Answer:
Given
Lamp 1 = 100W
Lamp 2 = 60W
Voltage (V) = 220V
Formula Used
Ohm’s Law
V = voltage
I = Current
R = resistance
Power Formula
P = power
V = voltage
R = resistance
Parallel Resistance formula
Resistance of lamp 1
R = 484Ω
Resistance of lamp 2
R = 806.7Ω
Since, both the lamps are joined in parallel; Hence total resistance will be
R = 302.5Ω
Using Ohm’s Law
Total current = 0.73 A
Question 44.
An electric heater consumes 4.4 kW power when connected with a 220 V lines voltage then,
i. Calculate the current passing through the heater.
ii. Calculate resistance of a heater.
iii. Calculate the energy consumed in 2 hours.
Answer:
i. Current passing
Formula used
Power formula è P = VI
P = power
V = Voltage
I = Current
I = 20 A
ii. Resistance of heater
Formula used
Power Formula
P = power
V = voltage
R = resistance
R = 11Ω
iii. Energy consumed in 2 hrs
The power is 4.4 kW; It means that 4400 joules is consumed in 1 sec
In 2 hrs è 3600 x 2 secs
The energy consumed will be
= 4400 x 3600 x 2
= 3.168 x 107 joules