\[C=\varepsilon_0\frac{A}{d}\]
Variables
Ccapacitance (F)
epsilon0vacuum permittivity (F/m)
Aplate area (m^2)
ddistance between plates (m)
Description
What is this formula?
This formula calculates the capacitance of a parallel plate capacitor in vacuum.
When to use it
Use it when analyzing capacitors formed by two parallel conductive plates separated by a dielectric-free gap.
Example
Data:
epsilon0 = 8.854e-12 F/m
A = 0.020 m^2
d = 1.0e-3 m
Formula:
C = (epsilon0*A)/d
Substitution:
C = (8.854e-12*0.020)/(1.0e-3)
Result:
C = 1.77e-10 F
Applications
Capacitor design, electrostatics, electronics, energy storage systems, electric field analysis, and electrical engineering.