A) A capacitor consists of two closely spaced metal conductors of large area, se

Question

A)
A capacitor consists of two closely spaced metal conductors of large area, separated by a thin insulating foil. It has an electrical capacity of 3600.0 ?F and is charged to a potential difference of 87.0 V. Calculate the amount of energy stored in the capacitor.

B)
Calculate the charge on this capacitor when the electrical energy stored in the capacitor is 14.58 J.

C)
If the two plates of the capacitor have their separation increased by a factor of 7 while the charge on the plates remains constant, by what factor is the energy stored in the capacitor increased?

Explanation / Answer

(dW = (Q/C)dQ) Integrate (W = Q^2/(2C)) This all goes to potential energy U, stored in the electric field of the capacitor. Since V=Q/C, you can write this as: (U = Q^2/(2C) = CV^2/2 = QV/2)

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