An isolated parallel-plate capacitor initially has plate separation

PHYSICS · Single correct · AP · Physics 2: Algebra-based · Electric Force Field and Potential · Electric Force Field and Potential

Problem

An isolated parallel-plate capacitor initially has plate separation dd, charge magnitude QQ, and contains a dielectric of constant κ\kappa. The separation is quickly reduced to d/3d/3 without allowing any charge to leave the plates. Which of the following describes how the magnitude of the electric field EE between the plates and the potential difference ΔV\Delta V across the plates change, if at all? (a) EE is unchanged and ΔV\Delta V becomes three times larger. (b) EE is unchanged and ΔV\Delta V becomes one-third its original value. (c) EE is unchanged and ΔV\Delta V is unchanged. (d) EE becomes three times larger and ΔV\Delta V is unchanged.

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