The earth has volume v and surface area a


Asked by admin @ in Physics viewed by 317 People


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

Answered by admin @



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}


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