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

Explanation / Answer

The stored energyis

U = 1/2 CV^2

the capacitence equaqtion is

C = k e0 A/d

(1) when inserting dielectric capacitence increases so energy increase ( True)

(2) increasing d, capactience decreses, from the colombs law Q = CV , so when increasing d decrease Q ( True)

(3) decresind d , capacitor increase , so , increases U ( True)

(4) inserting diellectric , capacitence will increase ( False)

(5)inserting diellectric , capacitence will increase,from the colombs law Q = CV , V will decrease ( False)

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