Volt to Electron Volt Calculator

Convert electrical voltage to energy in electron volts using elementary charge or coulombs

Calculate Energy in Electron Volts

Elementary Charge Method

Use number of elementary charges (e)

Formula: eV = V × e

Coulombs Method

Use charge in coulombs (C)

Formula: eV = V × C / (1.602 × 10⁻¹⁹)

V

Electrical potential difference

e

Number of elementary charges (discrete count)

Energy Results

0.000e+0
Electron Volts (eV)
0.000e+0
Joules (J)
0.00e+0
eV
0.00e+0
keV
0.00e+0
MeV
0.00e+0
GeV
0.00e+0
TeV

Formula used: eV = 0 V × 0 e = 0.000e+0 eV

Energy classification: Sub-eV - Very low energy photons/particles

Example Calculations

Example 1: Single Electron in 1.5V Battery

Voltage: 1.5 V

Charge: 1 elementary charge

Calculation: eV = 1.5 V × 1 e = 1.5 eV

Result: 1.5 electron volts (chemical bond energy range)

Example 2: High Voltage Circuit

Voltage: 15 V

Charge: 5 coulombs

Calculation: eV = 15 V × 5 C ÷ (1.602 × 10⁻¹⁹)

Result: ≈ 4.68 × 10²⁰ eV (extremely high energy)

Example 3: X-ray Tube

Voltage: 50,000 V (50 kV)

Charge: 1 elementary charge

Calculation: eV = 50,000 V × 1 e = 50,000 eV = 50 keV

Result: 50 keV (medical X-ray energy range)

Energy Scale Reference

Chemical bonds1-10 eV
Visible light1.6-3.3 eV
UV radiation3-100 eV
X-rays100 eV-100 keV
Gamma rays100 keV-10 MeV
Cosmic rays1 GeV-100 EeV

Important Constants

Elementary Charge (e)
1.602176634 × 10⁻¹⁹ C
1 eV in Joules
1.602176634 × 10⁻¹⁹ J
1 Joule in eV
6.24150907 × 10¹⁸ eV

eV Unit Prefixes

keV10³ eV
MeV10⁶ eV
GeV10⁹ eV
TeV10¹² eV
PeV10¹⁵ eV
EeV10¹⁸ eV

Understanding Volt to Electron Volt Conversion

What is an Electron Volt?

An electron volt (eV) is a unit of energy equal to the kinetic energy gained or lost by an electron when it moves through a potential difference of one volt. It's commonly used in atomic, nuclear, and particle physics because it represents energies at the atomic scale.

Key Concepts

  • Voltage (V): Electric potential difference measured in volts
  • Elementary charge (e): The fundamental unit of electric charge
  • Energy: The ability to do work, measured in joules or electron volts

Conversion Methods

Method 1: Elementary Charge

eV = V × e

Where e is the number of elementary charges. This method is used when dealing with discrete charge carriers like electrons or protons.

Method 2: Coulombs

eV = V × C ÷ (1.602 × 10⁻¹⁹)

Where C is the charge in coulombs. This method converts any charge amount to electron volts using the elementary charge constant.

Applications in Physics

Atomic Physics

  • • Ionization energies (5-25 eV typical)
  • • Chemical bond energies (1-10 eV)
  • • Photon energies in spectroscopy

Particle Physics

  • • Accelerator beam energies (GeV-TeV)
  • • Particle rest masses (MeV/c²)
  • • Cosmic ray energies (up to 10²⁰ eV)