Electron Volt to Watt Hour
eV
Wh
Conversion History
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|---|---|---|
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Quick Reference Table (Electron Volt to Watt Hour)
| Electron Volt (eV) | Watt Hour (Wh) |
|---|---|
| 1 | 0 |
| 10 | 0 |
| 100 | 0 |
| 1,000 | 0.00000000000000000004 |
| 1,000,000 | 0.0000000000000000445 |
| 1,000,000,000 | 0.00000000000004450491 |
About Electron Volt (eV)
An electron volt (eV) is the kinetic energy gained by a single electron accelerating through an electric potential difference of one volt — equal to approximately 1.602 × 10⁻¹⁹ joules. It is the natural energy unit of particle physics, atomic physics, and chemistry, where joules would yield unwieldy powers of 10. Photon energies, ionisation energies, bandgaps in semiconductors, and masses of subatomic particles (via E = mc²) are all expressed in eV, keV, MeV, or GeV.
Visible light photons carry 1.8–3.1 eV of energy. The proton rest mass is 938 MeV. The Large Hadron Collider accelerates protons to 6.5 TeV (6.5 × 10¹² eV).
About Watt Hour (Wh)
A watt-hour (Wh) is the energy consumed or produced by a one-watt device operating for one hour, equal to 3,600 joules. It is widely used for small battery and energy storage capacities — smartphone batteries, power banks, and small electronic devices. A smartphone battery holds roughly 10–15 Wh; a laptop 50–100 Wh. The watt-hour is the stepping-stone unit between the joule (too small for practical appliance use) and the kilowatt-hour (the billing unit for mains electricity).
A phone charger running for an hour uses about 5–10 Wh. A 100 Wh portable power bank can charge a typical smartphone about seven times.
Electron Volt – Frequently Asked Questions
Why do particle physicists use electron volts instead of joules?
Because subatomic energies in joules have absurdly small exponents — a visible-light photon carries about 3 × 10⁻¹⁹ J, but a convenient 1.9 eV. The electron volt is scaled to the quantum world, making numbers human-readable. It also doubles as a mass unit (via E = mc²): a proton is 938.3 MeV/c², far easier to work with than 1.673 × 10⁻²⁷ kg.
How much energy in electron volts does visible light carry?
Visible light photons range from about 1.65 eV (deep red, 750 nm) to 3.1 eV (violet, 400 nm). Green light, where the human eye is most sensitive, sits around 2.3 eV. Ultraviolet photons start at 3.1 eV and can exceed 100 eV in the extreme UV. These energies are why UV can damage DNA (breaking molecular bonds of 3–5 eV) while visible light cannot.
What is the relationship between electron volts and semiconductor bandgaps?
A semiconductor's bandgap — the minimum energy to free an electron from its bond — is expressed in eV. Silicon has a bandgap of 1.12 eV, gallium arsenide 1.42 eV, and gallium nitride 3.4 eV. The bandgap determines which wavelengths of light a solar cell can absorb and what color an LED emits. Lower bandgap means longer-wavelength (redder) light.
How many electron volts does the Large Hadron Collider produce?
The LHC accelerates protons to 6.5 TeV (6.5 × 10¹² eV) per beam, giving collisions a center-of-mass energy of 13 TeV. That sounds enormous, but 13 TeV is only about 2 microjoules — the kinetic energy of a flying mosquito. The power of the LHC lies in concentrating that energy into a space a million times smaller than an atom.
How do you convert electron volts to joules?
Multiply by 1.602 176 634 × 10⁻¹⁹. So 1 eV = 1.602 × 10⁻¹⁹ J, 1 keV = 1.602 × 10⁻¹⁶ J, and 1 MeV = 1.602 × 10⁻¹³ J. This conversion factor is exactly the elementary charge in coulombs, because an electron volt is defined as the energy gained by one electron charge crossing one volt of potential.
Watt Hour – Frequently Asked Questions
Why are portable battery capacities listed in watt-hours instead of milliamp-hours?
Watt-hours account for both current and voltage, giving the true energy stored. A 10,000 mAh power bank at 3.7 V holds 37 Wh, but at 5 V output it delivers only about 7,400 mAh due to voltage conversion losses. Airlines use the Wh rating (max 100 Wh carry-on) because it reflects actual energy — and therefore actual fire risk — regardless of battery voltage.
How many watt-hours does a typical smartphone battery hold?
Most smartphones have batteries rated at 10–18 Wh. An iPhone 15 Pro holds about 12.7 Wh; a Samsung Galaxy S24 Ultra about 18.4 Wh. For context, fully charging an 18 Wh phone from a wall outlet costs less than 0.01 kWh — roughly one-tenth of a cent on a typical electricity bill.
What is the airline limit for lithium batteries in watt-hours?
Most airlines allow lithium-ion batteries up to 100 Wh in carry-on luggage without approval. Batteries between 100 and 160 Wh (e.g., large camera or drone batteries) require airline permission, and batteries above 160 Wh are banned from passenger flights. A standard laptop battery is 50–100 Wh; a large power tool battery can exceed 160 Wh.
Why did the electronics industry settle on watt-hours instead of joules for battery labels?
Watt-hours map directly to how consumers think about devices: a 50 Wh battery powering a 10 W laptop lasts about 5 hours — simple division. Expressing the same battery as 180,000 joules gives no intuitive sense of runtime. Airlines also adopted Wh for lithium battery safety limits (100 Wh carry-on threshold) because it communicates energy density risk in a unit engineers and passengers can both grasp.
How many watt-hours does it cost to charge a laptop?
A typical laptop battery holds 50–100 Wh, so a full charge from empty uses 50–100 Wh of energy (plus about 10–15% lost as heat in the charger). At average US electricity rates, that is roughly 1–2 cents per charge. Over a year of daily charging, a laptop costs about $4–$7 in electricity — far less than most people assume.