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Parallel-plates in a capacitor, with area 1.2×10−3 cm2 and air-filled separation of 10 mm, are charged...

Parallel-plates in a capacitor, with area 1.2×10−3 cm2 and air-filled separation of 10 mm, are charged by a 12 V battery. They are disconnected from the battery and pushed together (with no discharge) to a separation of 3.5 mm.

a) Find the initial and final potential difference between the plates and the initial and final stored energy

b) How much work is required to decrease the separation between the plates and where does this work come from?

c) After the decrease in separation, a dielectric with constant K = 4.5 is added. Find the new potential difference between the plates and the new stored energy.

d) How much work is required to add the dielectric between the plates and where does the work come from?

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