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Question

Physics Question on Capacitors and Capacitance

Two identical thin metal plates has charge q1 and q2 respectively such that q1 > q2. The plates were brought close to each other to form a parallel plate capacitor of capacitance C. The potential difference between them is

A

(q1+q2/C)

B

(q1-q2/C)

C

(q1-q2/2C)

D

2(q1-q2/C)

Answer

(q1-q2/2C)

Explanation

Solution

E=q1−q2/2ε0AE=q1q22ε0AE=\frac{q_1−q_2}{2ε_0A}
v=(q1q2)d2ε0Av=\frac{(q1−q2)d}{2ε0A}
= q1q22C\frac{q_1-q_2}{2C}
So, the correct option is (C): (q1-q2)/2C