A spherical conductor of radius 12 cm has a charge of 1.6 x 10^–7 C distributed uniformly on its surface. What is the electric fields
(a) inside the sphere,
(b) just outside the sphere,
(c) at a point 18 cm from the centre of the sphere?

Solution

Given,
$Charge on conductor, q = 1.6 \times 10^{- 7} C$

$R adius of spherical conductor, r = 0.12 m$

(a) Since, charge resides on the outer surface of the sphere, magnitude of electric field is 0 inside.

(b) Electric field just outside the sphere is given by

$E = \frac{1}{4 {πε}_{0}} \frac{q}{r^{2}} = 9 \times 10^{9} \times \frac{1.6 \times 10^{- 7}}{(0.12)^{2}} = 10^{5} {NC}^{- 1}$

(c) At a point 0.18 m from the centre of the sphere
$E = \frac{1}{4 {πε}_{0}} \frac{q}{r^{2}} = 9 \times 10^{9} \times \frac{1.6 \times 10^{- 7}}{(0.18)^{2}} = 4.4 \times 10^{4} {NC}^{- 1}$

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Electrostatic Potential And Capacitance

A spherical conductor of radius 12 cm has a charge of 1.6 x 10^–7 C distributed uniformly on its surface. What is the electric fields
(a) inside the sphere,
(b) just outside the sphere,
(c) at a point 18 cm from the centre of the sphere?

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A spherical conductor of radius 12 cm has a charge of 1.6 x 10–7 C distributed uniformly on its surface. What is the electric fields(a) inside the sphere,(b) just outside the sphere,(c) at a point 18 cm from the centre of the sphere?

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A spherical conductor of radius 12 cm has a charge of 1.6 x 10^–7 C distributed uniformly on its surface. What is the electric fields
(a) inside the sphere,
(b) just outside the sphere,
(c) at a point 18 cm from the centre of the sphere?