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Question: A conducting sphere of radius R and charge Q is placed near a uniformly charged non-conducting infin...

A conducting sphere of radius R and charge Q is placed near a uniformly charged non-conducting infinitely large thin plate having surface charge density σ\sigma. Then potential at point A on sphere due to charge on sphere (Here,k=14πϵ0,θ0=π3)\left( \text{Here}, k = \frac{1}{4\pi \epsilon_0}, \theta_0 = \frac{\pi}{3} \right)

Answer

kQ/R

Explanation

Solution

For a conducting sphere of radius R carrying a total charge Q, the potential due to its own charge at any point on its surface is kQ/RkQ/R. This holds true even in the presence of an external electric field, which causes charge redistribution on the sphere but does not change the potential created by the sphere's total charge on its own surface. The external field contributes to the total potential on the sphere, but the question specifically asks for the potential due to the charge on the sphere.