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A series combination of n1 capacitors, each of value C1, is charged by a source of potential difference 4 V. 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 C1, is then
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2C1 n1n2 -
16 n2 C1 n1 -
2 n2 C1 n1 -
16C1 n1n2
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Correct Option: D
In series, Ceff = | |
n1 |
∴ Energy stored, Es = | Ceff C2² = | 16V² | |||
2 | 2 | n1 |
= 8V² | ||
n1 |
In parallel, Ceff = n2 C2
Energy stored, Ep = | n2C2V² | |
2 |
∴ | = | = n2C2V² | ||
n1 | 2 |
⇒ C2 = | ||
n1n2 |