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The energy stored in a capacitor of capacitance... - JAMB Physics 2002 Question

The energy stored in a capacitor of capacitance 10μF carrying a charge of 100μC

A
5 x 104 J
B
4 x 102 J
C
4 x 10-3 J
D
5 x 10-4 J
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Correct Option: D

The energy stored in a given capacitor is given by

E = 1/2 CV2 = 1/2 QV = 1/2Q2/C

Where C = the capacitance of the capacitor

Q = charge carried by the capacitor

V = p.d across the plates of the capacitor thus from the data given, C = 10μF

= 10 x 10-6F

Q = 100μc = 100 x 10-6C

∴ Energy stored = 1/2 Q2/C

= 1
(100 x 10-6)2
10 x 10-6
2

= 1
100 x 10-12
10 x 10-6
2

1/2 10-3 5.0 x 10-4
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