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

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

COMEDKCOMEDK 2007Electrostatic Potential and Capacitance

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 $