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Suppose a charge +Q1 is given to the positive plate and a charge -Q2 to the negative plate of a capacitor. What is the "charge on the capacitor" ?

Suppose a charge +Q1 is given to the positive plate and a charge -Q2 to the negative plate of a capacitor. What is the "charge on the capacitor" ?

Grade:12

1 Answers

Gokul Joshi AskiitiansExpert-IITK
42 Points
13 years ago

Dear Nikhil,

By applying gauss law it can easily be proven that inner faces of plates shall have equal charge of opposite magnitudes, say q0 and -q0. Field on the outside of plates will be (Q1-Q2)/2ε0 and this gives charge of (Q1-Q2)/2 on the outer plates from gauss law. This implies inner sides of plates shall have q0 = (Q1+Q2)/2 and -q0 = -(Q1+Q2)/2. Charge on the capacitor hence is (Q1+Q2)/2.

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Regards,
Askiitians Experts,
Gokul  Joshi

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