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Capacitance of an Isolated Spherical Shell

C=4πεrε0R
(R)Radius of the sphere
(εr)Dielectric Constant

The Capacitance of a Spherical Shell calculator computes the capacitance of a single spherical shell.  

INSTRUCTIONS: Choose your preferred units and enter the following:

  • (R) - the radius of the sphere
  • (εr) - the Dielectric Constant of materials between cylinders

Capacitance: The capacitance (C) is returned in Farads.  However, this can be automatically converted to other capacitance units via the pull-down menu.

General Information

The calculator uses the formula:

                        C = 4πεrε0R

where:

  • (R) is the radius of the sphere
  • (εr) is the Dielectric Constant of materials between the shells. For more information on the Dielectric Constant,  a.k.a. Relative Permittivity, of the material between the shells. For more info, click here.  To see common dielectric constants, CLICK HERE.
  • (ε0) Is the constant for the Permittivity of a Vacuum (8.85418782E-12 F/m)

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