Voltage to Electronvolt Formula:
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The electronvolt (eV) is a unit of energy equal to approximately 1.602×10⁻¹⁹ joules. In physics, when an electron moves through an electric potential difference of 1 volt, it gains or loses 1 eV of energy.
The calculator uses the simple relationship:
Where:
Explanation: By definition, 1 volt is equal to 1 electronvolt per elementary charge. The elementary charge cancels out in the calculation.
Details: The electronvolt is commonly used in atomic, nuclear, and particle physics as a convenient unit for small energies. It's particularly useful when dealing with elementary particles and electromagnetic phenomena.
Tips: Simply enter the voltage in volts. The calculator will output the equivalent energy in electronvolts.
Q1: Why is 1 volt equal to 1 electronvolt?
A: By definition, 1 eV is the energy gained (or lost) by the charge of a single electron moving across an electric potential difference of 1 volt.
Q2: What is the exact value of 1 eV in joules?
A: 1 eV = 1.602176634×10⁻¹⁹ joules (exact value since 2019 redefinition of SI base units).
Q3: Can this be used for any charged particle?
A: For particles with charge q (in units of elementary charge), the energy is eV = V × q.
Q4: How is this used in particle accelerators?
A: Accelerator energies are often described in eV (keV, MeV, GeV). A 1 MV potential accelerates electrons to 1 MeV.
Q5: What about relativistic effects?
A: This simple conversion assumes non-relativistic speeds. At high energies (several MeV for electrons), relativistic corrections are needed.