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There is a uniformly charged non-conducting solid sphere made of material of dielectric constant one. If electric potential at infinity be zero, then the potential at its surface is V. If we take electric potential at its surface to be zero, then the potential at the centre will be

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Important Questions on Electrostatic Potential and Capacitance

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If the electric potential on the axis of an electric dipole at a distance 'r' from it is V, Then the potential at a point on its equatorial line at the same distance away from it will be
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Three charged particles having charges q,-2q & q are placed in a line at points (-a, 0), (0, 0) & (a, 0) respectively. The expression for electric potential at P(r, 0) for r>>a is
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Consider a sphere of radius R having charge q uniformly distributed inside it. At what minimum distance from its surface the electric potential is half of the electric potential at its centre?
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Electric charges having same magnitude of electric charge 'q' coulombs are placed at x=1 m,2 m, 4 m,8 m.. so on. If any two consecutive charges have opposite sign but the first charge is necessarily positive, what will be the potential at x=0 ?
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A cylindrical capacitor has two co-axial cylinders of length 20 cm and radii 2r and r. Inner cylinder is given a charge 10 μC and outer cylinder a charge of -10 μC. The potential difference between the two cylinders will be
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A charge q is distributed uniformly on the surface of a sphere of radius R. It is covered by a concentric hollow conducting sphere of radius 2R Charge on the outer surface of the hollow sphere will be, if it is earthed
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A hollow spherical conductor of radius r potential of 100 V at its outer surface. The potential inside the hollow at a distance of r2 from its centre is
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A spherical conductor having charge q and radius r is placed at the centre of a spherical shell of radius R and having charge Q(R>r). The potential difference between the two is