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 Volts. (C is the capacitance and U is the stored energy.) Give all correct answers concerning a parallel-plate capacitor charged by a battery (e.g. B, AC, CDF). If none of the statements is correct, enter the word none.

A) After being disconnected from the battery, inserting a dielectric with kappa > 1 will decrease U.
B) After being disconnected from the battery, inserting a dielectric with kappa > 1 will increase V.
C) After being disconnected from the battery, decreasing d increases C.
D) After being disconnected from the battery, inserting a dielectric with kappa > 1 will increase C.
E) After being disconnected from the battery, increasing d increases V.
F) After being disconnected from the battery, decreasing d increases 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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