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Q.

A series combination of n1 capacitors, each of value C1, is charged by a source of potential difference 4V. When another parallel combination of n2 capacitors, each of value C2, is charged by a source of potential difference V, it has the same (total) energy stored in it, as the first combination has. The value of C2, in terms of C1is then

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a

2n2n1C1

b

2C1n1n2

c

16C1n1n2

d

n2n1C1

answer is D.

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Detailed Solution

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In series, Ceff=C1n1 Energy stored, Es=12CeffVS2=12C1n116V2=8V2C1n1

In parallel, Ceff=n2C2 Energy stored, Ep=12n2C2V28V2C1n1=12n2C2V2C2=16C1n1n2

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