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Comparing an air capacitor with an identical one filled with a dielectric of permittivity 5, at the same voltage the dielectric-filled one stores

  • A.twenty-five times the energy
  • B.five times the energy
  • C.one fifth of the energy
  • D.the same energy

Answer: B

Energy at constant voltage is proportional to capacitance, which is proportional to permittivity, so the factor is five. At constant charge instead the energy would fall to a fifth, which is the opposite result and shows why the constraint must always be stated.

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