# Parallel Plate Capacitance Calculator

Calculate the capacitance between two parallel plates by entering the plate area, separation distance between the plates, and the dielectric constant below.

## How to Calculate Capacitance

Two plates aligned in parallel with a dielectric between them has capacitance, or the ability to store an electric charge. This capacitance can be found using this formula:

C = kε_{0}A / d

The capacitance *C* in farads is equal to the dielectric constant *k* times the relative permittivity *ε _{0}* times the area

*A*divided by the separation distance

*d*.

*ε _{0}* is equal to the relative permittivity of space, or 8.854 × 10

^{-12}.

*k* is the dielectric constant, and is equal to the relative permittivity of of the dielectric. Free space has the value of 1.

*A* is equal to the area of each plate in square meters.

*d* is equal to the distance between each plate in meters.

**For example,** let’s calculate the capacitance of a parallel plate capacitor with a plate area of 0.25 square millimeters and a distance between the plates of 0.005 millimeters. We’ll use a dielectric constant of 1.

Start by converting millimeters to meters.

0.25 mm^{2} ÷ 1,000,000 = 0.00000025 m^{2}

0.005 mm ÷ 1,000 = 0.000005 m

Next, solve the formula.

C = 1 × 0.000000000008854 × 0.00000025 / 0.000005

C = 0.0000000000000000022135 / 0.000005

C = 0.0000000000004427 F

Thus, the capacitance is equal to 4.427 × 10^{-13} F, or 0.4427pF.