A 12 pF capacitor is connected to a 50 V battery, the electrostatic energy stored in the capacitor in nJ is [2024]

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Solution

Q.
A 12 pF capacitor is connected to a 50 V battery, the electrostatic energy stored in the capacitor in nJ is [2024]

1 15

2 7.5

3 0.3

4 150

Ans.
(1)

Capacitance, (C) $= 12$ $pF = 12 \times 10^{- 12}$ $F$

Voltage of Battery, (V) $= 50$ $V$

Energy stored in capacitor, (U) $= \frac{1}{2} C V^{2}$

$U = \frac{1}{2} \times (12 \times 10^{- 12}) {(50)}^{2} = 150 \times 10^{- 10}$ $J = 15 \times 10^{- 9}$ $J$ $= 15$ $nJ$

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