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The energy stored in a capacitor of capacitance \( C \) charged to voltage \( V \) is

  • A.\( \tfrac{1}{2}CV^2 \)
  • B.\( CV^2 \)
  • C.\( \tfrac{1}{2}CV \)
  • D.\( \tfrac{1}{2}C^2V \)

Answer: A

The factor of one half arises because the voltage rises from zero to its final value as the charge is delivered, so the mean voltage during charging is half the final one. The same energy may be written as \( Q^2/2C \) or \( \tfrac{1}{2}QV \).

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