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If the charge on a capacitor is increase...

If the charge on a capacitor is increased by 2C, then the energy stored in it increases by 21 %. The original charge on the capacitor is

A

10 C

B

20 C

C

30 C

D

40 C

Text Solution

Verified by Experts

The correct Answer is:
B
`U=Q^2/(2C)implies U prop Q^2`
`implies U_1/U_2=Q^2/((Q_2+2)^2)impliesU/(1.21U)=Q^2/((Q+2)^2)`
`impliesQ/(Q+2)=sqrt(1/(1.21))implies Q/(Q+2)=1/(1.1)`
`implies Q + 2 = Q(1.1) implies 0.1Q = 2 implies Q = 20C.`
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