The capacitance of the Earth considered as a conducting sphe... | Physics | SolveeIt

Question

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

$7.12 \, pF$

$7.12 \, nF$

$7.12 \, \mu F$

$7.12 \, F$

Answer

$7.12 \, \mu F$

Explanation

Solution

Capacitance of a conducting sphere of radius $R, C = 4 \pi \varepsilon_0 R$
Here, $R = 6408 \, km = 6408 \times 10^3 \, m$
$\therefore \, C= \frac{6408 \times 10^3}{9 \times 10^9} = 712 \, \mu F$

Physics Question on Capacitors and Capacitance

Solution