Question

The earth has volume V and surface area A then it's capacitance would be :

Answer 1

if we assume shape of earth be solid spherical.
then, the volume of earth = 4/3πR³
where R is radius of earth.

given, volume of earth = V = 4/3πR³
surface area of earth = A = 4πR²
so, V/A = (4/3 R³)/4πR²
or, V/A = R/3
or, R = 3V/A

now, capacitance of earth = $4\pi\epsilon_0R$

= $4\pi\epsilon_0\frac{3V}{A}$

= $\frac{12\pi\epsilon_0V}{A}$

Answer 2

Answer:

12 Pi Epsilon Not be upon a