Enter the total number of electron volts (eV) and the mass into the calculator to determine the velocity.

eV to Velocity Calculator

Enter exactly 2 values to calculate the missing variable.

eV to Velocity Formula

The following equation is used to calculate the .

V = SQRT(2* eV * 1.602*10^{-19} / m)
  • Where V is the velocity (m/s)
  • eV is the number of electron volts (eV)
  • m is the mass (kg)

To calculate velocity from electron volts (ev), multiply the electron volts by 2 times 1.602 times 10 to the negative 19th power, then divide by the mass. Finally, take the square root of this result.

eV to Velocity Conversion Table (Electron mass m_e = 9.109×10^-31 kg, non‑relativistic)
Energy Velocity (m/s)
1 eV593100
2 eV838770
5 eV1326210
10 eV1875550
20 eV2652420
30 eV3248540
50 eV4193850
75 eV5136400
100 eV5931000
150 eV7263960
200 eV8387700
300 eV10272790
500 eV13262120
750 eV16242710
1 keV18755470
2 keV26524240
5 keV41938500
10 keV59310000
15 keV72639620
20 keV83877010
Computed using KE = ½ m v² with e = 1.602×10^-19 J/eV and m = m_e. Non‑relativistic approximation; accuracy decreases as v approaches c.

How to Calculate Velocity from eV?

Example Problem:

The following example outlines the steps and information needed to calculate velocity from eV.

First, determine the number of electron volts. In this example, the number of electron volts is found to be 30 eV.

Next, determine the mass. For this problem, the mass is found to be .0000035 kg.

Finally, calculate the velocity from eV using the formula above:

V = SQRT(2* eV * 1.602*10^-19 / m)

V = SQRT(2* 30 * 1.602*10^-19 / .0000035)

V = 0.00000165719 m/s