# The Parallel Plate Capacitor – Formula, Definition, Derivation

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## What is a Parallel Plate Capacitor?

When two parallel plates are connected across a battery, the plates are charged and an electric field is established between them, and this setup is known as the parallel plate capacitor.

## Parallel Plate Capacitor Formula

Where:

• ϵo is the permittivity of space (8.854 × 10−12 F/m)
• k is the relative permittivity of dielectric material
• d is the separation between the plates
• A is the area of plates

## Parallel Plate Capacitor Derivation

• A parallel plate capacitor consists of two large plane parallel conducting plates separated by a small distance.

• Suppose two plates of the capacitor have equal and opposite charge Q on them. If A is the area of each plate then surface charge density on each plate is
• Suppose two plates of the capacitor have equal and opposite charge Q on them. If A is the area of each plate then surface charge density on each plate is

• We have already calculated field between two oppositely charged plates using Gauss’s law which is and in this result effects near the edges of the plates have been neglected