AIPMT PRELIMS 2010 Physics Capacitors MCQ Question
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
16C₁
2C₁/n₁n₂
16n₂C₁/n₁
2n₂C₁/n₁
Correct Answer
Detailed Explanation
The energy stored in a capacitor is given by U = 1/2 CV². Equating the energies of the two combinations and solving for C₂ gives C₂ = 16C₁.
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