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 QCoulombs and a voltage of V. (C is the capacitance and U is the stored energy.) Änswer the following questions regarding the capaitor charged by a battery. For each státement below, select True or False. FalseAfter being disconnected from the battery, decreasing d increases U. FalseWith the capacitor connected to the battery, increasing d decreases Q FalseAfter being disconnected from the battery, inserting a dielectric with k will decrease C. FalseWith the capacitor connected to the battery, inserting a dielectric with K will increase U. True After being disconnected from the battery, inserting a dielectric with K will decrease V. FalseAfter being disconnected from the battery, decreasing d decreases C. Submit Answer Incorrect. Tries 6/10 Previous Tries

Explanation / Answer

(A) True :After being disconnected from the battery, decreasing d increases U.

Capacitance , C = Q / V

Capacitance is proportional to the charge. Here, the voltage is constant as the battery is attached, the decreasing d results in increases C. As internal energy is U = (1/2 ) CV2 , the internal energy increaes.

Thus, the given statement is True.

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B) True, see (A)

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C) Flase. Inserting dielectric result in increase capacitance k times.

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D) True, the charges are isolated, so charge Q is fixed.

The electric field decreases in the presence of a capacitor.

Thus, from (A), the capacitance will increase.

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E) True:

After being disconnected from the battery, inserting a dielectric with will decrease V

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F) Flase

After being disconnected from the battery, decreasing d increases C.

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