A capacitor consisting of two parallel plates, separated by a distance d is init

Question

A capacitor consisting of two parallel plates, separated by a distance d is initially charged to a voltage of 8.6 V. The battery is then disconnected from the capacitor. For each statement below, select True or False.

1. If the battery is disconnected, and then the distance d between the plates is decreased, the amount of charge stored on either plate of the capacitor will change.
2. Decreasing the distance d after disconnecting the battery will increase the electrical energy stored in the capacitor.

3. If the battery is disconnected, and then the distance d between the plates is decreased, the voltage across the capacitor will increase.

Explanation / Answer

1] False, because charge will remain same as there is no circuit so that they can escape.

2] False, U = 0.5Q^2/C, decreasing distance will increase capacitance, so energy will decrease

3] False, Q= CV, Q is constant, C increases, so V must decrease

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