High School Physics

# Formulas of the capacitance of parallel plate capacitors

Last updated on April 18th, 2022 at 05:32 pm

In this post, we will list down a few important formulas that we use to calculate the capacitance of the parallel plate capacitors. But before that, we will have a quick revision of the fundamentals.

A parallel-plate capacitor is a pair of two conductors of any shape which are close to each other and have equal and opposite charges.

A capacitor is an arrangement that can store a sufficient quantity of charge.

The quantity of charge that can be given to a parallel-plate capacitor is limited by the fact that every dielectric medium becomes conducting at a certain value of the electric field.

The capacitance of a parallel-plate capacitor is Directly proportional to the area of the plates (A).

The capacitance of a parallel-plate capacitor is Inversely proportional to the distance between plates (d).

The capacitance of a parallel-plate capacitor is Directly proportional to the dielectric constant of the medium filled between its plates (K).

[ Read: Factors affecting the capacitance of the parallel-plate capacitors ]

## Capacitance formulas of Parallel plate capacitors

Here are some important Formulas that we can use to calculate the capacitance of parallel plate capacitors.

1 ] The capacitance of a parallel plate capacitor filled completely with some dielectric medium will have a capacitance C = K ε0 A /d.

2 ] For air and vacuum, K = 1. So, with air as the dielectric medium, the equation of the capacitance is
C = ε0 A /d

3 ] The capacitance of a parallel plate capacitor filled with a dielectric slab of thickness t is given by
C = ε0 A /[ d – t[1 – 1/k]]

4 ] The capacitance of a parallel plate capacitor filled with a conducting slab of thickness t is given by
C = ε0 A /(d – t)

See also  AC Waveforms of different types

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