In the circuit shown in the figure all the capacitors have capacitance C

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Charge on capacitors marked as 1 and 2 when a battery of emf V is connected across points A and B is zero on both

Equivalent capacitance across points C and D is 2C

Equivalent capacitance across points E and G is 2C

Equivalent capacitance across points E and G is C

answer is A, B, C.

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Detailed Solution

a) When a battery is connected across points A and B the circuit is a balanced wheatstone bridge, with the inner network connected to C and D receiving no charge.

b) When a battery is connected across C and D, the innermost loop will have no charge because the 4 capacitors in loop EFGH and the innermost loop (acting as fifth capacitor of bridge) forms a balanced Wheatstone bridge.

c) In this case the innermost loop (having capacitance C₁= C) is a parallel pth across EG. The loop EFGH forms a balanced wheatstone bridge with the outer loop acting as fifth capacitance between F and H.

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