My name is Alexander Fufa

**eV**and here I will explain the following topic:# What are Equipotential Lines?

## Formula

## What do the formula symbols mean?

## Electric potential

`$$ \varphi_x $$`Unit

`$$ \frac{\mathrm{J}}{\mathrm{C}} $$`

Electric potential between capacitor plates increases linearly with distance \(x\) from one plate to the other.

## Electric potential

`$$ \varphi_1 $$`Unit

`$$ \frac{\mathrm{J}}{\mathrm{C}} $$`

Electric potential at the location of the capacitor plate that has the greater potential.

## Position

`$$ x $$`Unit

`$$ \mathrm{m} $$`

Any position within the plate capacitor where the potential \(\varphi_x\) is measured.

## Voltage

`$$ U $$`Unit

`$$ \mathrm{V} $$`

Voltage between the two capacitor plates.

## Plate distance

`$$ d $$`Unit

`$$ \mathrm{m} $$`

Distance between the capacitor plates.

**Explanation**

## Video

An **equipotential line** (or in three-dimensional space: **equipotential surface**) is the set of all points in space that have the same **potential** \(\varphi\). A potential \(\varphi \) is potential energy per charge.

When a particle moves on such an equipotential line, its potential energy does not change. In other words, the particle on an equipotential line is neither accelerated nor decelerated and it can be moved on the equipotential line without losing or gaining energy.