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.

1)  After being disconnected from the battery, decreasing d decreases C.

2) With the capacitor connected to the battery, decreasing d decreases Q.

3) After being disconnected from the battery, inserting a dielectric with will decrease V.

4) After being disconnected from the battery, inserting a dielectric with will increase U.

5) After being disconnected from the battery, inserting a dielectric with will decrease C.

6) With the capacitor connected to the battery, increasing d increases U.

Explanation / Answer

1] False, C will increase

2] False, Q will increase as Q=CV and V will be constant.

3] True, as V decreases V=Q/C and Q will be constant and C increases.

4] False, as U = 0.5Q^2/C

5] False, C increases

6] False, U decreases as U = 0.5CV^2 , C decreases and V is constant.

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