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Question

The work done in increasing the potential of a capacitor from V volt to 2V volt is W. Then, the work done in increasing the potential of the same capacitor from 2V volt to 4V volt will be

A
W
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B
2 W
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C
4 W
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D
8 W
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Solution

The correct option is C 4 W
Let us try to understand this problem in two cases:
Case 1:
When the potential is changing from V to 2V
Then the work done we know is given by
W.D1=UfUi
W.D1=12C(2V)212CV2
W.D1=32CV2 = W......(i)
Case 2:
When the potential of the same capacitor further changes from 2V to 4V
W.D2=12C(4V)212C(2V)2
W.D2=122CV2=6CV2.......(ii)
Comparing (i) & (ii) we get
W.D2 = 4W



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