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Question -

A spherical conductor of radius 12 cm has acharge of 1.6 × 10−7C distributed uniformly on its surface. What isthe electric field

(a) Inside the sphere

(b) Just outside the sphere

(c) At a point 18 cm from the centre of the sphere?



Answer -

(a) Radius of the spherical conductor, r =12 cm = 0.12 m

Charge is uniformly distributed over theconductor, = 1.6 × 10−7 C

Electric field inside a spherical conductor is zero. Thisis because if there is field inside the conductor, then charges will move toneutralize it.

(b) Electric field E just outside theconductor is given by the relation,

Where,

= Permittivity of freespace

Therefore, the electricfield just outside the sphere is 

(c) Electric field at a point 18 m from the centre of thesphere = E1

Distance of the point from thecentre, d = 18 cm = 0.18 m

Therefore, the electric field at a point 18 cm from thecentre of the sphere is

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