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 = kε0A / d
The capacitance C in farads is equal to the dielectric constant k times the relative permittivity ε0 times the area A divided by the separation distance d.
ε0 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 mm2 ÷ 1,000,000 = 0.00000025 m2
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.