Answer to Question #291693 in Electricity and Magnetism for turina

Question

19. Find the capacitance of the Earth .the radius of the Earth is 6,400 km.By how much will the Earth`s potential chance if it receives a quantity of electricity equal to1C?

Answer 1

$C=4\pi \epsilon_0R$

Put value

$C=\frac{6400\times10^3}{9\times10^9}=7.11\times10^{-4}F$

Potential changes

$Q=C∆V$

$∆V=\frac{1}{7.11\times10^{-4}}=1406.25V$