If a charged spherical conductor of the radius 10 cm has potential V at a point distant 5 cm from its centre, then the potential at a point distant 15 cm from the centre will be

Question

If a charged spherical conductor of the radius 10 cm has potential V at a point distant 5 cm from its centre, then the potential at a point distant 15 cm from the centre will be, 1 3 V, 2 3 V, 3 2 V, 3 V

MARKS App · Accepted Answer

For charged spherical conductor, potential inside the sphere is same as that on its surface. ∴ Potential inside the surface, V i n = V s u r f a c e 1 4 π ε 0 q 10 = V and potential outside the surface, 1 4 π ε 0 q 15 ∴ The ratio V 15 V = q 15 × 10 q = 2 3 ⇒ V 15 = 2 3 V ⇒ V o u t = 2 3 V

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