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A voltage of 13 V is placed on a capacitor with C = 107 pF (picofarads). (a) Wha

ID: 1317849 • Letter: A

Question

A voltage of 13 V is placed on a capacitor with C = 107 pF (picofarads). (a) What is the charge on the capacitor? (C)

(b) How much energy is stored in the capacitor? (J)

Quite stuck! Any help is greatly appreciated. A voltage of 13 V is placed on a capacitor with C = 107 pF (picofarads). (a) What is the charge on the capacitor? (C)

(b) How much energy is stored in the capacitor? (J)

Quite stuck! Any help is greatly appreciated. (a) What is the charge on the capacitor? (C)

(b) How much energy is stored in the capacitor? (J)

Quite stuck! Any help is greatly appreciated.

Explanation / Answer

The Formula is: Q = C x U (Q in Coulomb)
so
a) charge Q = 107 x 13 = 1391 picoCoulombs = 1.391 micro-Coulombs

The potential difference V = q/C requires the work dW = dV = (1/C) q . dq
so Wstored = integral from 0 to Q of ( (1/C) q . dq) = (1/2) Q

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