The capacitance of a variable capacitor joined with a battery of 100 V is changed from 2 μF to 10 μF. What is the change in the energy stored in it ?(A) 2 X 10⁻² J
(B) 2.5 X 10⁻² J
(C) 6.5 X 10⁻² J
(D) 4 X 10⁻² J
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Hey Students,
◆ Answer - (D)
∆E = 4×10^-2 J
◆ Explaination -
# Given -
V = 100 V
C1 = 2 μF = 2×10^-6 F
C2 = 10 μF = 10×10^-6 F
# Solution -
Change in energy stored in capacitor is given by -
∆E = 1/2 (C2-C1)V^2
∆E = 1/2 × (10×10^-6 - 2×10^-6) × 100^2
∆E = 4×10^-2 J
Therefore, the change in the energy stored in capacitor is 4×10^-2 J.
Thanks dear...
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