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PRACTICE / Dielectrics

Insert a dielectric after disconnecting

A capacitor is charged to 12 V and disconnected from its battery. A dielectric of relative permittivity 3 fully fills the gap.

Find its new voltage.

Organize the givens & assumptions
  • Vinitial = 12 V
  • κ = 3
  • charge fixed

Disconnected ideal parallel-plate capacitor; fixed free plate charge; dielectric fully fills the gap with κ = 3; no leakage.

  1. A0 V0\ \mathrm V
  2. B4 V4\ \mathrm V
  3. C12 V12\ \mathrm V
  4. D36 V36\ \mathrm V

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