How to convert volts to electron-volts

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

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

Volts to eV calculation with elementary charge

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

E(eV) = V(V) × Q(e)

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

So

electronvolt = volt × elementary charge

or

eV = V × e

Example 1

What is the energy in electron-volts that is consumed in an electrical circuit with voltage supply of 10 volts and charge flow of 40 electron charges?

E = 10V × 40e = 400eV

Example 2

What is the energy in electron-volts that is consumed in an electrical circuit with voltage supply of 50 volts and charge flow of 40 electron charges?

E = 50V × 40e = 2000eV

Example 3

What is the energy in electron-volts that is consumed in an electrical circuit with voltage supply of 100 volts and charge flow of 40 electron charges?

E = 100V × 40e = 4000eV

Volts to eV calculation with coulombs

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

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

So

electronvolt = volt × coulomb / 1.602176565×10-19

or

eV = V × C / 1.602176565×10-19

Example 1

What is the energy in electron-volts that is consumed in an electrical circuit with voltage supply of 10 volts and charge flow of 2 coulombs?

E = 10V × 2C / 1.602176565×10-19 = 1.2483×1020eV

Example 2

What is the energy in electron-volts that is consumed in an electrical circuit with voltage supply of 50 volts and charge flow of 2 coulombs?

E = 50V × 2C / 1.602176565×10-19 = 6.2415×1020eV

Example 3

What is the energy in electron-volts that is consumed in an electrical circuit with voltage supply of 70 volts and charge flow of 2 coulombs?

E = 70V × 2C / 1.602176565×10-19 = 8.7381×1020eV

 

How to convert eV to volts ►

 


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