Target Exam

CUET

Subject

Physics

Chapter

Electrostatic Potential and Capacitance

Question:

A conducting sphere of radius R is given a charge Q. What is the electric field and the electric potential at the centre of the sphere?

Options:

$\frac{Q}{4πε_0R^2}$ and $\frac{Q}{4πε_0R}$

$\frac{Q}{4πε_0R^2}$ and zero

zero and $\frac{Q}{4πε_0R}$

Both electric field and electric potential are zero

Correct Answer:

zero and $\frac{Q}{4πε_0R}$

Explanation:

The correct answer is Option (2) → zero and $\frac{Q}{4πε_0R}$

As all the charge would get distributed on the surface. The net charge inside sphere is zero.

and,

As this sphere is an equipotential surface, $\frac{Q}{4πε_0R}$ at the center of sphere.