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Question

A capacitor of capacitance 2 μF is charged to 40 V and another capacitor of capacitance 4 μF is charged to 20 V. If the capacitors are connected together in same polarity, then the energy lost in reorganisation of charge will be

A
316.2 μJ
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B
266.67 μJ
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C
402 μJ
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D
191.6 μJ
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Solution

The correct option is B 266.67 μJ
Given
V1=40 V
V2=20 V
C1=2 μF
C2=4 μF
Energy loss is,
Δ E=12×C1C2C1+C2(V1V2)2
=12×2×4×1012(2+4)×106(4020)2
=8003μJ.

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