A parallel plate capacitor with plate separation d is connected to a battery. Th

Question

A parallel plate capacitor with plate separation d is connected to a battery. The capacitor is fully charged to Q Coulombs and a voltage of V. (C is the capacitance and U is the stored energy.) Answer the following questions regarding the capacitor charged by a battery. For each statement below, select True or False.

True False  With the capacitor connected to the battery, inserting a dielectric with will increase C.
True False  After being disconnected from the battery, inserting a dielectric with will decrease U.
True False  After being disconnected from the battery, decreasing d increases C.
True False  With the capacitor connected to the battery, increasing d increases U.
True False  After being disconnected from the battery, inserting a dielectric with will increase V.
True False  After being disconnected from the battery, increasing d increases V.

Explanation / Answer

true (C'=kC)

true (U'=U/k)

true (C=e0A/d)

false (U=1/2CV^2, V is constant, as increasing d, C decreases)

false V=V0/k

true V=Q/C (Q is constant after disconnected, as d increasing, C decreases and V increases).

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