Capacitance of a Sphere, Radius R
The capacitance of a sphere is determined by its radius and does not depend on the charge on its surface. The capacitance of a sphere is determined by the product 4πε0εR, where
ε0 – vacuum permittivity, ε0 = 8.85418781762039 × 10-12,
ε – permittivity of dielectric, showing how many times the force of interaction of two electric charges in a certain environment is less than in vacuum, for which ε = 1.
The SI unit of capacitance is the farad (F).
An electrical capacity of 1 Farad is a very large capacity, for example, a 1 Farad capacity has a sphere 13 times the radius of the Sun, therefore, sub-multiples of Farad units are mainly used.
Permittivity ε =
Radius R =
The SI unit of capacitance C