Physics Electrostatics Potential & Capacitance Electric Potential and Potential Difference MCQ (Single Correct)

A charge Q is distributed over two concentric hollow spheres of radius r and R (R > r), such that the surface densities of charge are equal. Find the potential at the common center.

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The correct answer is:
CHECK THE SOLUTION.

V =

Sol.

(i) Let the charge on inner sphere = q

∴ charge on outer sphere = Q – q

(ii) ∴ σ 1 = σ 2

or

⇒ q = , Q – q =

∴ Potential at center O

⇒ V 0 =

R = = (R + r)

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