First slide

Capacitance

Question

A variable condenser is permanently connected to a 100 V battery. If the capacity is changed from 2 μF to 10 μF, then change in energy is equal to

Moderate

A

2 x 10^-2 J
B

2.5 x 10^-2 J
C

3.5 X 10^-2J
D

4 X 10^-2 J

Solution

$ΔU = U_{2} - U_{1} = \frac{V^{2}}{2} (C_{2} - C_{1}) = \frac{(100)^{2}}{2} (10 - 2) \times 10^{- 6} = 4 \times 10^{- 2} J$

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