# 3. Energy of a capacitor. [20] A parallel-plate capacitor has area A and plate separation d....

###### Question:

3. Energy of a capacitor. [20] A parallel-plate capacitor has area A and plate separation d. Initially the capacitor has an air gap (K=1). (a) The capacitor is connected to a battery with voltage (EMF) E. What is the strength of the clectric field inside the capacitor? (5) (b) What is the charge on the capacitor? [5] The capacitor is disconnected from the battery. Then a metal block (K=0 ) with the same area and thickness d/2 is inserted into the gap, leaving two gaps that are d/4 wide. (c) What is the voltage on the capacitor afterwards? [5] (d) What is the change of energy of the capacitor during this process? [5]

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