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. Thank you!

1) After being disconnected from the battery, increasing d increases V.
2) After being disconnected from the battery, inserting a dielectric with will increase V.
3) After being disconnected from the battery, increasing d increases U.
4) After being disconnected from the battery, inserting a dielectric with will decrease U.
5) After being disconnected from the battery, decreasing d increases C.

6) With the capacitor connected to the battery, inserting a dielectric with will increase C.

Explanation / Answer

1) This one is True because as we increase the plate separation, the space between the plates increase and thus the voltage increases.

2) Not sure about this one but it should be False as inserting a dielectric will decrease V due to insulation.

3) True. Same reasoning as 1) as U = 1/2*C*V2.

4) True. A dielectric will act as the insulation and will affect voltage which will further affect the energy stored.

5) It should be False.

6) True. As capacitance is proportional to dielectric.

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