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Question

If the charge on a capacitor is increased by 4C the energy stored in it increases by 44%. The original charge on the capacitor is?
  1. 10C
  2. 20C
  3. 5C
  4. 15C

A
10C
B
15C
C
20C
D
5C
Solution
Verified by Toppr

The energy stored in the capacitor is given by
U=q22C
Uq2
U1U2=(q2q1)2
U2U11=(q2q1)21
U2U1U1=q22q211
U2U1U1×100=(q22q211)100
44=(q22q211)×100
q22q21=0.44+1=1.44
q2=1.2q1
Now, q2q1=4C
0.2q1=4
q1=40.2=20C.

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