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

Physics
JAMB 2002

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 Answer: Option D
Explanation

The energy stored in a given capacitor is given by
E = \(\frac{1}{2}\) CV\(^2\) = \(\frac{1}{2}\) QV = \(\frac{1}{2}\)\(\frac{Q^2}{\text{C}}\)
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\(^{-6}\)F
Q = 100μc = 100 x 10\(^{-6}\)C
∴ Energy stored = \(\frac{1}{2}\)\(\frac{Q^2}{\text{C}}\)

= \(\frac{1}{2}\)\(\frac{(100 \times 10^{-6})^2}{10 \times 10^{-6}}\)

= 0.0005 = 5 x 10\(^{-4}\)J

 

 

 

 

 


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