hard · MCAT chem-phys

A parallel-plate capacitor with plate separation d and capacitance C_0 is fully charged by a battery of voltage V, then disconnected from the battery. A dielectric slab of constant κ = 4 is inserted to completely fill the gap.

After insertion, how do the voltage across the plates and the energy stored compare to their initial values?

  1. Voltage becomes V/4; energy becomes U_0/4
  2. Voltage stays at V; energy becomes 4U_0
  3. Voltage becomes 4V; energy becomes 4U_0
  4. Voltage becomes V/4; energy becomes 4U_0

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