Answer to Question #291696 in Electricity and Magnetism for turina

Question

19.Find the capacitance of 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 1C?

Answer 1

Solution

Radius of earth R=6400Km

the capacitance of Earth is given by

$C=4\pi \epsilon _0R\\=4\times3.14\times8.85\times10^{-12}\times 6400000$

C=0.71mF

Now

Earth's potential change 

$V=\frac{C}{Q}\\=\frac{0.71*10^{-3}}{1}\\=0.71mV$