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

Explanation / Answer

Use C = Q/V

1.After being disconnected from the battery, inserting a dielectric with ? will decreases V.TRUE C increases, V decreases

2.After being disconnected from the battery, inserting a dielectric with ? will increase C. TRUE
3.After being disconnected from the battery, increasing d increases V. since increasing d decreasing C, V increases TRUE
U = 1/2 C V^2 as V is proportional to d, U increases

4.4.With the capacitor connected to the battery, inserting a dielectric with ? will decrease U.
FALSE


5.After being sconnected from the battery,increasing d dcreases C. TRUE

With the capacitor connected to the battery, increasing d decreases U.
U = 1/2 (C)(V^2) TRUE

6.True 1.With the capacitor connected to the battery, increasing d decreases Q.

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