A parallel-plate capacitor with plates of area 500 cm² is charged to an electric potential difference, AV, and then disconnected from the voltage source. (a) Determine an expression for the original electric potential difference, AV, in terms of the capacitor variables (Q, d, A). When the plates are moved a distance D = 0.4 cm farther apart, the voltage on the plates increases by 100 volts. (b) Determine an expression for the new electric potential difference in terms of the new capacitor variables. (c) What is the charge Q on the positive plate of the capacitor? (d) By how much does the energy stored in the capacitor increase due to the movement of the plates?

A parallel-plate capacitor with plates of area 500 cm² is charged to an electric potential difference, AV, and then disconnected from the voltage source. (a) Determine an expression for the original electric potential difference, AV, in terms of the capacitor variables (Q, d, A). When the plates are moved a distance D = 0.4 cm farther apart, the voltage on the plates increases by 100 volts. (b) Determine an expression for the new electric potential difference in terms of the new capacitor variables. (c) What is the charge Q on the positive plate of the capacitor? (d) By how much does the energy stored in the capacitor increase due to the movement of the plates?