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  4. The potential on the hollow sphere of radius 1 m is 1000 V, then potential at (1/4) m from the centre of the sphere is

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Q. The potential on the hollow sphere of radius 1 m is 1000 V, then potential at $ \frac{1}{4} $ m from the centre of the sphere is

BVP MedicalBVP Medical 2009

Solution:

For a charged conducting sphere [or shell of charge at surface (r = R)] $ {{V}_{s}}=\frac{1}{4\pi {{\varepsilon }_{0}}}\frac{Q}{R} $ Inside the shell the potential remains constant at all points and equal to potential at the surface $ {{V}_{in}}=constant={{V}_{s}} $ $ \therefore $ $ {{V}_{in}}=1000V $