Conversion Formula:
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The electron volt (eV) is a unit of energy equal to approximately 1.602×10⁻¹⁹ joules. By definition, it's the amount of energy gained by a single electron when it accelerates through 1 volt of electric potential difference.
The calculator uses the fundamental relationship:
Where:
Explanation: Numerically, the energy in eV equals the voltage when a single electron is accelerated through that potential difference.
Details: This conversion is essential in particle physics, semiconductor physics, and any field dealing with the energy of charged particles in electric fields.
Tips: Enter the voltage in volts. The calculator will show the equivalent energy in electron volts that a single electron would gain when accelerated through that potential difference.
Q1: Why is 1 volt equal to 1 eV in this context?
A: By definition, 1 eV is the energy an electron gains moving through 1 V potential difference. Numerically, the values are equal.
Q2: What's the exact value of 1 eV in joules?
A: 1 eV = 1.602176634×10⁻¹⁹ J (exact as of 2019 SI redefinition)
Q3: Can this be used for multiple electrons?
A: For N electrons, multiply the result by N (e.g., 1 V → N eV for N electrons)
Q4: Is this valid for any voltage?
A: Yes, the relationship holds for any voltage, though relativistic effects may need consideration at very high voltages (>1 MV)
Q5: How does this relate to battery voltages?
A: A 1.5V battery gives each electron 1.5 eV of energy as it moves through the potential difference.