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. With the capacitor connected to the battery, decreasing d increases C.
2. After being disconnected from the battery, decreasing d increases U.
3. With the capacitor connected to the battery, inserting a dielectric with will decrease C.
4. After being disconnected from the battery, increasing d increases V.
5. After being disconnected from the battery, inserting a dielectric with will increase U.
6. After being disconnected from the battery, inserting a dielectric with will decrease V.

Explanation / Answer

1. With the capacitor connected to the battery, decreasing d increases C.    (TRUE)

2. After being disconnected from the battery, decreasing d increases U.       (TRUE)

3. With the capacitor connected to the battery, inserting a dielectric with will decrease C.    (FALSE)

4. After being disconnected from the battery, increasing d increases V.      (TRUE)

5. After being disconnected from the battery, inserting a dielectric with k will increase U.    (FALSE)

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

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