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If the charge on a capacitorn is increas...

If the charge on a capacitorn is increased by 2C, then the energy stored in it increases by 20 %. 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

Since `U=(1)/(2)(Q^(2))/(C),therefore1.21U=(1)/(2)((Q+2)^(2))/(C)`
`therefore(1.21)/(1)=((Q+2)^(2))/(Q)orsqrt((1.21)/(1)=(Q+2)/(Q)`
or `1.1Q=Q+2therefore(1.1-1)Q=2`
or `0.1Q=2thereforeQ=(2)/((1//10))=20C`.
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