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A parallel plate capacitor with plate separation d is connected to a battery. Th

ID: 1393482 • Letter: A

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.

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

Explanation / Answer

We know that the capacitance of a capacitor is increased by a factor of K when the space between the plate is filled with a dielectric of dielectric constant K.(i.e C=kC0).

A) True because V=Q/C     and here C is increases thats why V decreases.

B) False

C) True because C=E0A/d if d increases then C decrease means V increases.(V=Q/C).

D) True because C=E0A/d if d increases then C decrease means U increases.(U=Q2/2C).

E) False

F) False

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