# Capacitance formulas and calculators

This page contains formulas and calculators for capacitances of various shapes or types of capacitors. This is also useful is you're going to be using your capacitor in an LC tank resonant circuit.

### Capacitance of parallel plate capacitors

A parallel plate capacitor consists for two flat, parallel plates that are the electrodes, separated by a dielectric, or insulator. For the formula and calculator here, the plates can be any shape, as long as they're flat, parallel and you know the area of the plates or whatever's needed in order to find the area.

The formula for the capacitance of a parallel plate capacitor is:

Where:

• εr = relative permitivity of the dielectric (less commonly known as K, the dielectric constant)
• ε0 = 8.854x10-12F/m (farads/meter) = vacuum permitivity aka the permitivity of free space

The diagrams show parallel plate capacitors with different shaped plates, one rectangular and one circular. The formula for calculating the area of a rectangle is:

and the formula for calculating the area of a circle is:

Where π is pi which is 3.14159.

Fill in the following and click on the Calculate button...

Relative permitivity (εr):
Area:
Distance:

Result:

### Capacitance of cylindrical capacitors

A cylindrical capacitor consists of two cylinders, also referred to as the plates, that are the electrodes, separated by a dielectric, or insulator.

The formula for the capacitance of a cylindrical capacitor is:

Where:

• εr = relative permitivity of the dielectric (less commonly known as K, the dielectric constant)
• ε0 = 8.854x10-12F/m (farads/meter) = vacuum permitivity aka the permitivity of free space
Fill in the following and click on the Calculate button...

Relative permitivity (εr):
Length:
a:
b:

Result: