Four metallic plates each with a surface area of one side A are placed at a distance d from each other. The plates are connected as shown in the circuit diagram. Then the capacitance of the system between a and b is

(1) 3ε0Ad

(2) 2ε0Ad

(3) 2ε0A3d

(4) 3ε0A2d

Subtopic:  Combination of Capacitors |
 56%
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In the given circuit if point C is connected to the earth and a potential of +2000 V is given to the point A, the potential at B is 

(1) 1500 V

(2) 1000 V

(3) 500 V

(4) 400 V

Subtopic:  Combination of Capacitors |
 64%
From NCERT
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A finite ladder is constructed by connecting several sections of 2 μF, 4 μF capacitor combinations as shown in the figure. It is terminated by a capacitor of capacitance C. What value should be chosen for C such that the equivalent capacitance of the ladder between the points A and B becomes independent of the number of sections in between 

(1) 4 μF

(2) 2 μF

(3) 18 μF

(4) 6 μF

Subtopic:  Combination of Capacitors |
 53%
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In an isolated parallel plate capacitor of capacitance C, the four surface have charges Q1, Q2, Q3 and Q4 as shown. The potential difference between the plates is 

(1) Q1+Q2+Q3+Q42C

(2) Q2+Q32C

(3) Q2Q32C

(4) Q1+Q42C

Subtopic:  Capacitance |
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For the circuit shown, which of the following statements is true 

(1) With S1 closed, V1 = 15 V, V2 = 20 V

(2) With S3 closed V1 = V2 = 25 V

(3) With S1 and S2 closed V1 = V2 = 0

(4) With S1 and S3 closed, V1 = 30 V, V2 = 20 V

Subtopic:  Capacitance |
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Consider the situation shown in the figure. The capacitor \(A\) has a charge \(q\) on it whereas \(B\) is uncharged. The charge appearing on the capacitor \(B\) a long time after the switch is closed is: 

1. zero
2. \(\frac{q}{2}\)
3. \(q\)
4. \(2q\)

Subtopic:  Combination of Capacitors |
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A capacitor of capacitance C1 = 1 μF can withstand maximum voltage V1 = 6kV (kilo-volt) and another capacitor of capacitance C2 = 3 μF can withstand maximum voltage V2 = 4 kV. When the two capacitors are connected in series, the combined system can withstand a maximum voltage of

(1) 4 kV

(2) 6 kV

(3) 8 kV

(4) 10 kV

Subtopic:  Combination of Capacitors |
 51%
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The plates of a parallel plate condenser are pulled apart with a velocity v. If at any instant their mutual distance of separation is d, then the magnitude of the time rate of change of capacity depends on d as follows 

(1) 1/d

(2) 1/d2

(3) d2

(4) d

Subtopic:  Capacitance |
 54%
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A fully charged capacitor has a capacitance ‘C’. It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity ‘s’ and mass ‘m’. If the temperature of the block is raised by ‘ΔT’, the potential difference ‘V’ across the capacitance is 

(1) msΔTC

(2) 2msΔTC

(3) 2mCΔTs

(4) mCΔTs

Subtopic:  Energy stored in Capacitor |
 75%
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A network of four capacitors of capacity equal to C1=C,  C2=2C,C3=3C and C4 = 4 C are connected in a battery as shown in the figure. The ratio of the charges on C2 and C4 is 

(1) 223

(2) 322

(3) 74

(4) 47

Subtopic:  Combination of Capacitors |
 77%
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