This calculator calculates the capacitance of an isolated charged conducting sphere. You need to enter the radius of the sphere and its relative permittivity.

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Where,

R = Radius of the sphere

εo= 8.854187817e-12

εr= Relative Permittivity

This capacitance can be derived by starting with the capacitance of concentric spheres.

The value of R1 can be taken to be R and the value of R2 can be infinity. This would result in the following equation.