A spherical conductor of radius 12 cm has a charge of $1.6 imes 10^{-7}$ C distributed uniformly on its surf

Question

A spherical conductor of radius 12 cm has a charge of $1.6 	imes 10^{-7}$ C distributed uniformly on its surface. The electric field just outside the sphere is:

Accepted Answer

For a uniformly charged spherical conductor, the electric field for points outside the sphere ($r \ge R$) acts as if the entire charge is concentrated at the center. Just outside the sphere, the distance $r$ is equal to the radius $R$.

Formula: $E = \frac{1}{4\pi\varepsilon_0} \frac{q}{R^2}$

Given:
Charge $q = 1.6 	imes 10^{-7} 	ext{ C}$
Radius $R = 12 	ext{ cm} = 0.12 	ext{ m}$
Constant $k = 9 	imes 10^9 	ext{ N m}^2	ext{C}^{-2}$

Calculation:
$E = \frac{9 	imes 10^9 	imes 1.6 	imes 10^{-7}}{(0.12)^2}$
$E = \frac{14.4 	imes 10^2}{0.0144}$
$E = 10^5 	ext{ NC}^{-1}$

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