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.

a) After being disconnected from the battery, inserting a dielectric with ? will increase V.
b) After being disconnected from the battery, increasing d decreases V.
c) After being disconnected from the battery, increasing d increases U.
d) With the capacitor connected to the battery, decreasing d increases C.
e) After being disconnected from the battery, inserting a dielectric with ? will increase U.
f) With the capacitor connected to the battery, inserting a dielectric with ? will increase C.

I got a) false, b) false, c) false, d) true, e) true, and f) true-- but that wasn't right.

Explanation / Answer

FOLLOW THIS 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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