Answer to Question #292230 in Electricity and Magnetism for Qurbanova

Question

Find the capacitance of the Earth. The radius of the Earth is 6,400 km. By how much will the Earth's potential change if it receives a quantity of electricity equal to 1 C?

Answer 1

The capacitance of shere

$$C=4\pi\epsilon_0R\\ =4*3.14*8.85*10^{12}*6400*10^3=7.1*10^{-4}\:\rm F$$

The Earth's potential

$$V=\frac{q}{C}=\frac{7.1*10^{-4}\:\rm F}{1\:\rm C}=7.1*10^{-4}\:\rm V$$