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Question: The energy stored in a condenser of capacity \(C\) which has been raised to a potential \(V\)is give...

The energy stored in a condenser of capacity CC which has been raised to a potential VVis given by

A

12CV\frac{1}{2}CV

B

12CV2\frac{1}{2}CV^{2}

C

CVCV

D

12VC\frac{1}{2VC}

Answer

12CV2\frac{1}{2}CV^{2}

Explanation

Solution

U=∫0VCVdV=12CV2U = \int_{0}^{V}{CVdV} = \frac{1}{2}CV^{2}