Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

Two identical thin metal plates are given charges q1 and q2 (q2 < q1) respectively. If they are now brought close together to form a parallel plate capacitor with a capacitance 'C' then the potential difference between the plates is:

Options:

$\frac{q_1+q_2}{2C}$

$\frac{q_1}{2Cq_2}$

$\frac{q_1-q_2}{2C}$

$\frac{q_2}{C(q_1+q_2)}$

Correct Answer:

$\frac{q_1-q_2}{2C}$

Explanation:

After they are brought close together to form a parallel plate capacitor then charges are rearranged and redistribution of charge takes place.

New charges on the sides of capacitors facing each other is $q_1 - q_2$ and $ q_2 -  q_1$

Hence Potential difference is $ V = \frac{q}{C} = \frac{q_1 - q_2}{2C}$