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In the circuit above, The potential across each capacitor is 100V. The total energy stored...

Physics
JAMB 1999

In the circuit above, The potential across each capacitor is 100V. The total energy stored in the two capacitors is

  • A. 3.0 x 104J
  • B. 3.0 x 102J
  • C. 2.5 x 10-2J
  • D. 6.0 x 10-3J
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Correct Answer: Option C
Explanation

Energy stored in a capacitor is given by
E = \(\frac{1}{2}\)CV\(^2\)
But the effective capacitance for the parallel arrangement is given by
C = C\(_1\) + C\(_2\)
= 2 + 3
= 5μF = 5 x 10\(^{-6}\) x (100)\(^2\)
∴E = \(\frac{1}{2}\)CV\(^2\)
= \(\frac{1}{2}\) x 5 x 10\(^{-6}\) x 10\(^4\)
2.9 x 10\(^{-2}\)J


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