Enter the inner radius, outer radius, permittivity, and length into the calculator to determine the the cylindrical capacitor capacitance.

Cylindrical Capacitor Formula

The following equation is used to calculate the Cylindrical Capacitor capacitance.

C = (2*pi*e / (ln(b/a)))*L

  • Where C is the capacitance (farads)
  • e is the permittivity
  • b is the outer radius
  • a is the inner radius
  • L is the length

The units for the radii and the length should be the same in this case.

What is a Cylindrical Capacitor?

Definition:

A cylindrical capacitor is a type of capacitor that is shaped in semi-hollow cylindrical form, with an inner and outer radius.

How to Calculate Cylindrical Capacitor Capacitance?

Example Problem:

The following example outlines the steps and information needed to calculate the cylindrical capacitance.

First, determine the permittivity. In this case, the permittivity of the material is 2.45.

Next, determine the outer radius. In this example, the outer radius is .024m.

Next, determine the inner radius. This is measured to be .015m.

Next, determine the length. The length of the cylinder is found to be 2m.

Finally, calculate the capacitance using the formula above:

C = (2*pi*e / (ln(b/a)))*L

C = (2*3.14159*2.45 / (ln(.024/.015)))*2

C = 65.504 farads