1.

A spherical conductor of radius 12 cm has charge of 1.6 xx 10^(-7)C distributed uniformly on its surface. What is the electric field (a) insidethe sphere(b)just outside the sphere(c ) at a point 18 cm from the centre of the spere ?

Answer»

Solution :Here `Q = 1.6 xx 10^(-7) C, R = 12 cm = 0.12 m`
(a) ELECTRIC FIELD inside a SPHERICAL conductor having charge distributed uniformly on its surface is zero at all POINTS.
(b) Just OUTSIDE the surface `E = 1/(4pi epsi_0). Q/r^2 = (9 xx 10^9 xx 1.6 xx 10^(-7))/((0.18)^2) = 4.44 xx 10^4 N C^(-1) = 4.4 xx 10^4 NC^(-1)`,
(c) At a point 18 cm from the centre of sphere (i.e., r = 18 cm = 0.18 m), the electric field
`E = 1/(4pi epsi_0) . Q/r^2 = (9xx10^9 xx 1.6 xx 10^(-7))/((0.18)^2)= 4.44 xx 10^4 N C^(-1) =4.4 xx 10^(4) N C^(-1)`


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