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

The energy stored in a capacitor of capacitance 10μF carrying a charge of 100μC
Take Free Practice Test On 2026 JAMB UTME, Post UTME, WAEC SSCE, GCE, NECO SSCE
  • A 5 x 104 J
  • B 4 x 102 J
  • C 4 x 10-3 J
  • D 5 x 10-4 J
Correct Answer: Option D
Explanation:
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 [table](100 x 10-6)2
10 x 10-6




2
[/table]


= 1 [table]100 x 10-12
10 x 10-6




2
[/table]


1/2 10-3 5.0 x 10-4

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