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A spherical conductor of radius 12 cm ha...

A spherical conductor of radius 12 cm has a charge of `1.6 xx 10 ^(7) ` C distributed uniformly on its surface. What is the electric field
inside the sphere
(ii) just outside the sphere
© At a point 18 cm from the centre of the sphere?

Text Solution

Verified by Experts

Here ` q= 1.6 xx 10^(-7) C and R = 12 cm =0.12 `
Electric field at any point inside the sphere E=0
(ii) Here ` q= 1.6 xx 10^(-7) C and R = 12 cm =0.12 `
Electric field at a point just outside the sphere
` " " E= ( q )/( 4 pi in _0. R^(2)) =( 1.6 xx 10^(-7) xx 9 xx 10^(9))/( (0.12)^(2)) = 10 ^(5) NC ^(-1) `
(c) Here ` q= 1.6 xx 10^(-7) C and R = 12 cm =0.12 `
Electric field at any point 18 cm from the centre of sphere (i.e. r= 18 cm =0.18 m)
` E = ( q)/( 4 pi in _0. r^(2)) =( 1.6 xx 10 ^(-7) xx 9 xx 10 ^(9))/( (0.18)^(2)) = 4.44 xx 10 ^(4) N C^(-1) `
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