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Question

Physics Question on Electrostatics

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

A

15

B

7.5

C

0.3

D

150

Answer

15

Explanation

Solution

Energy stored in a capacitor (E) = 12CV2\frac{1}{2}CV^2, where C is capacitance and V is voltage.

C = 12 pF = 12 × 10-12 F V = 50 V

E = 12(12×1012 F)(50 V)2=15×109 J=15 nJ\frac{1}{2}(12 \times 10^{-12} \text{ F})(50 \text{ V})^2 = 15 \times 10^{-9} \text{ J} = 15 \text{ nJ}