A series combination of n1 capacitors, each of value C1, is charged… | NEET 2010 (AIPMT, Prelims)

Q88NEET 2010 · AIPMT · PRELIMSMedium

Combination of Capacitors

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 C1, is then

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Answer: (d)

Series: $\frac{1}{2}\cdot\frac{C_1}{n_1}(4V)^2 = \frac{8C_1V^2}{n_1}$ .
Parallel: $\frac{1}{2}(n_2C_2)V^2$ .
Equal: $\frac{n_2C_2}{2} = \frac{8C_1}{n_1} \Rightarrow C_2 = \frac{16C_1}{n_1n_2}$ .
So the answer is (d).

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Combination of Capacitors question from NEET 2010 (AIPMT, Prelims)

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