A variable capacitor consists of two stacks of plates that can be adjusted so a

Question

A variable capacitor consists of two stacks of plates that can be adjusted so a variable amount of area of the plates faces each other. Suppose a 500.0 V potential difference is applied across a variable capacitor and it stores 5.0 mJ of energy with its plates in one position. Then it is adjusted so as to increase its capacitance, and with its plates in the new position, it stores 11.0 mJ of energy. How much does its capacitance change as its plates adjust from the first to the second position?

Explanation / Answer

energy , U = 1/2 CV^2 U1/U2 = C1/C2 =>5/11 = C1/C2 =>C 2 = 11/5 C1 = C2 = 2.2C1

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