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

Explanation / Answer

Use C = Q/V

After being disconnected from the battery, increasing d increases V. since increasing d decreasing C, V increases TRUE

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

After being disconnected from the battery, inserting a dielectric with ? will increase C. TRUE

After being disconnected from the battery, decreasing d increases C. TRUE

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

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

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