# How to convert electron-volts to volts

How to convert energy in electron-volts (eV) to electrical voltage in volts (V).

You can calculate volts from electron-volts and elementary charge or coulombs, but you can't convert electron-volts to volts since electron-volt and volt units represent different quantities.

### eV to volts calculation with elementary charge

The voltage V in volts (V) is equal to the energy E in electron-volts (eV), divided by the electric charge Q in elementary charge or proton/electron charge (e):

V(V) = E(eV) / Q(e)

The elementary charge is the electric charge of 1 electron with the e symbol.

So

volt = electronvolt / elementary charge

or

V = eV / e

#### Example

What is the voltage supply in volts of an electrical circuit with energy consumption of 800 electron-volts and charge flow of 40 electron charges?

V = 800eV / 40e = 20V

### eV to volts to calculation with coulombs

The voltage V in volts (V) is equal to 1.602176565×10-19 times the energy E in electron-volts (eV), divided by the electrical charge Q in coulombs (C):

V(V) = 1.602176565×10-19 × E(eV) / Q(C)

So

volt = 1.602176565×10-19 × electronvolt / coulomb

or

V = 1.602176565×10-19 × eV / C

#### Example

What is the voltage supply in volts of an electrical circuit with energy consumption of 800 electron-volts and charge flow of 2 coulombs?

V = 1.602176565×10-19 × 800eV / 2C = 6.4087×10-17V

## What is electron volt

An electron volt is the amount of kinetic energy gained or lost by a single electron accelerating from rest through an electric potential difference of one volt in vacuum. Hence, it has a value of one volt, 1 J/C, multiplied by the electron's elementary charge e,  1.602176565×10-19 C. Therefore, one electron volt is equal to 1.602176565×10-19 J.

The electron volt, as opposed to the volt, is not an SI unit. The electron volt (eV) is a unit of energy whereas the volt (V) is the derived SI unit of electric potential. The SI unit for energy is the joule (J).

How to convert volts to eV »

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