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Voltage to Electronvolt Calculator

Voltage to Electronvolt Formula:

\[ eV = V \times \frac{1.602 \times 10^{-19}}{1.602 \times 10^{-19}} = V \]

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1. What is Voltage to Electronvolt Conversion?

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.

2. How Does the Calculator Work?

The calculator uses the simple relationship:

\[ eV = V \]

Where:

Explanation: By definition, 1 volt is equal to 1 electronvolt per elementary charge. The elementary charge cancels out in the calculation.

3. Importance of Electronvolt 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.

4. Using the Calculator

Tips: Simply enter the voltage in volts. The calculator will output the equivalent energy in electronvolts.

5. Frequently Asked Questions (FAQ)

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.

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