## 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^{-17}V