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Volts to Electron-Volts Energy Calculator — result sheet
Calculate the energy change in electron-volts and joules from a potential difference and a charge expressed in elementary-charge units.
Inputs used
Results
Visual chart
Breakdown
Calculation steps
Returned data table
Formula and methodology
Formula: Energy change ΔE=qΔV; with q=(q/e)e, the numerical energy in eV is ΔE(eV)=(q/e)×ΔV and the energy in joules is ΔE(J)=(q/e)e×ΔV.
An electron-volt is an energy unit, not a voltage unit. A potential difference of one volt changes the energy of one elementary charge by one electron-volt in magnitude. This calculator keeps the charge count and sign visible, then reports the same energy in eV, joules, and kJ/mol using the exact elementary-charge constant and the standard particle-to-mole scaling.
This result follows the calculator's declared inputs, precision, validation boundaries, and model limits.
Input contract
- Potential difference ΔV — V; minimum -1000000000; maximum 1000000000
- Charge in elementary-charge units q/e — e; Use +1 or −1 for one elementary charge with a chosen sign convention.; minimum -1000000000; maximum 1000000000
Worked example
| Input | Value |
|---|---|
| Potential difference ΔV | 12 |
| Charge in elementary-charge units q/e | 1 |
A 12 V potential difference changes the energy of one elementary charge by 12 eV = 1.9226119608×10⁻¹⁸ J, or about 1,157.82 kJ/mol.
Assumptions and limits
- The entered voltage is a potential difference in volts and the charge is expressed as a signed multiple of the elementary charge.
- The sign follows ΔE=qΔV; use the magnitude when the physical question asks only for energy size.
- The elementary charge is 1.602176634×10⁻¹⁹ C exactly in the SI.
- The kJ/mol output treats the entered particle-level energy as applying to one mole of identical charges.
- No electric-field path, radiation, relativistic effect, chemical reaction, or voltage-source behavior is inferred from the two inputs.
- Do not read a result in eV as a voltage unless the charge is explicitly one elementary charge and the context supports that interpretation.
Calculator note
Source and methodology
Use the official WorldCalculate methodology policy for the source, formula, precision, and boundary standards behind this calculator.
Planning estimate, not financial, medical, legal, or professional advice. © WorldCalculate — reuse with attribution. Built and curated by Hassan ALRowaie.
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