1.

Find the ratio of the potential differences that must be applied across the parallel and seriescombination of two capacitors C, and C, with their capacitances in the ratio 1 :2 so that theenergy stored in the two cases becomes the same151

Answer»

C2 = 2 C1.

parallel combination: C_eq = 3 C1 Energy E = 1/2 * C_eq * V1² = 3/2 * C1 V1²

Series combination: C_eq = C1 C2 /(C1 +C2) = 2 C1/ 3 Energy E =1/2 * 2/3 * C1 * V2² = 1/3 * C1 V2²

Equating energies, we get V1 : V2 =√2 : 3

Plot of energy vs Capacitance: This will be linear if Voltage applied is assumed to be constant.



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