The electric potential at the center of two concentric half... | Physics | SolveeIt | Solveeit

Today, October 3

Question

The electric potential at the center of two concentric half rings of radii $R_1$ and $R_2$ , having same linear charge density $\lambda$ is :

A

$\frac{2 \lambda}{\epsilon_0}$

B

$\frac{\lambda}{2 \epsilon_0}$

C

$\frac{\lambda}{4 \epsilon_0}$

D

$\frac{\lambda}{\epsilon_0}$

Answer

$\frac{\lambda}{2 \epsilon_0}$

Explanation

Solution

The correct answer is (B) : $\frac{\lambda}{2 \epsilon_0}$
Potential at centre
V=4πε0R2(λ⋅πR2)+4πε0R1(λ⋅πR1)
=2ε0λ