A spherical conductorof radius 12 cm has a charge of 1.6 × 10−7Cdistributed uniformly on its surface. What is the electric field
(a) Inside thesphere
(b) Justoutside the sphere
(c) At a point18 cm from the centre of the sphere?
A spherical conductorof radius 12 cm has a charge of 1.6 × 10−7Cdistributed uniformly on its surface. What is the electric field
(a) Inside thesphere
(b) Justoutside the sphere
(c) At a point18 cm from the centre of the sphere?
(a) Radius ofthe spherical conductor, r = 12 cm = 0.12 m
Chargeis uniformly distributed over the conductor, q = 1.6 ×10−7 C
Electricfield inside a spherical conductor is zero. This is because if thereis field inside the conductor, then charges will move to neutralizeit.
(b) Electricfield E just outside the conductor is given by the relation,
Where,
=Permittivity of free space
Therefore,the electric field just outside the sphere is 
.
(c) Electricfield at a point 18 m from the centre of the sphere = E1
Distanceof the point from the centre, d = 18 cm = 0.18 m
Therefore,the electric field at a point 18 cm from the centre of the sphere is
.
(a) Radius ofthe spherical conductor, r = 12 cm = 0.12 m
Chargeis uniformly distributed over the conductor, q = 1.6 ×10−7 C
Electricfield inside a spherical conductor is zero. This is because if thereis field inside the conductor, then charges will move to neutralizeit.
(b) Electricfield E just outside the conductor is given by the relation,
Where,
=Permittivity of free space
Therefore,the electric field just outside the sphere is .
(c) Electricfield at a point 18 m from the centre of the sphere = E1
Distanceof the point from the centre, d = 18 cm = 0.18 m
Therefore,the electric field at a point 18 cm from the centre of the sphere is
.
