A spherical conductor of radius $10 ext{ cm}$ has a charge of $3.2 imes 10^{-7} ext{ C}$ distributed uni

Question

A spherical conductor of radius $10 	ext{ cm}$ has a charge of $3.2 	imes 10^{-7} 	ext{ C}$ distributed uniformly. What is the magnitude of electric field at a point $15 	ext{ cm}$ from the centre of the sphere? ($\frac{1}{4\pi \epsilon_0} = 9 	imes 10^9 	ext{ Nm}^2/	ext{C}^2$)

Accepted Answer

Electric field outside a conducting sphere is $E = \frac{1}{4\pi \epsilon_0} \frac{Q}{r^2}$. Here $Q = 3.2 	imes 10^{-7} 	ext{ C}$, $r = 15 	ext{ cm} = 0.15 	ext{ m}$. $E = (9 	imes 10^9) 	imes \frac{3.2 	imes 10^{-7}}{(0.15)^2} = \frac{9 	imes 3.2 	imes 10^2}{0.0225} = 1.28 	imes 10^5 	ext{ N/C}$.

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