Question

The capacitance of the Earth considered as a conducting sphere of radius $6408km$ is

• A. $7.12pF$
• B. $7.12nF$
• C. $7.12\mu F$
• D. $7.12F$

Answer 1

Answer: (C)

Capacitance of a conducting sphere of radius $R,C=4\pi {\epsilon }_{0}R$
Here, $R=6408km=6408\times 10^{3}m$
$\therefore C=\frac{6408\times 10^3}{9\times 10^9}=712\mu F$