The electric potential at the centre of two concentric half rings of radii and , having same linear charge density is [2023]

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Solution

Q.
The electric potential at the centre of two concentric half rings of radii $R_{1}$ and $R_{2}$ , having same linear charge density $λ$ is [2023]

1 $\frac{2 λ}{ε_{0}}$

2 $\frac{λ}{2 ε_{0}}$

3 $\frac{λ}{4 ε_{0}}$

4 $\frac{λ}{ε_{0}}$

Ans.
(2)

$Potential at centre$

$V = \frac{(λ \cdot π R_{2})}{4 π ε_{0} R_{2}} + \frac{(λ \cdot π R_{1})}{4 π ε_{0} R_{2}} = \frac{λ}{2 ε_{0}}$

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