Capacitance is proportional to plate area

If a capacitor is composed of two equal parallel plates, its capacitance is proportional to the area of the plates and the inverse of the distance between the plates. It also depends on the permittivity of the medium that fills the space between the plates.

Conditions:

  1. The plates must be large enough for the electric field to be constant between the plates.

Links:

  1. Wikipedia, formula in box.

capacitance

capacitance of the capacitor.

Symbol:

C

Latex:

\(C\)

Dimension:

capacitance

absolute_permittivity

absolute_permittivity of the medium between the plates.

Symbol:

epsilon

Latex:

\(\varepsilon\)

Dimension:

capacitance/length

area

area of the plates.

Symbol:

A

Latex:

\(A\)

Dimension:

area

distance

euclidean_distance between the plates.

Symbol:

d

Latex:

\(d\)

Dimension:

length

law

C = epsilon * A / d

Latex:
\[C = \frac{\varepsilon A}{d}\]