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A parallel plate capacitor is connected to a battery for charging. After some ti

ID: 2070345 • Letter: A

Question


A parallel plate capacitor is connected to a battery for charging. After some time, while the battery is still connected to the capacitor, a dielectric with a dielectric constant ?=2 is inserted between the plates. Which of the following is true?

A) The potential energy of the capacitor does not change.
B) The potential energy of the capacitor is increased.
C) The potential difference across the plates of the capacitor is increased.
D) The capacitance of the capacitor is decreased.
E)The capacitance of the capacitor does not change.

Explanation / Answer

Inserting the dielectric will increase the capacitance of the capacitor by a factor of k = 2
The potential energy of the capacitor is given by formula :

U = 0.5 C V2

Since the potential V stays constant , the energy increases by a factor of 2. Thus the correct answer is:

B) The potential energy of the capacitor is increased.

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