Electric Charge converter
Charge in coulombs and the ampere-hour ratings used for batteries, a 3000 mAh cell holds 10 800 C.
Converter
Quick pairs
tap to loadOne milliampere-hour in every electric charge unit
11 rows| Unit | Symbol | 1 mAh equals |
|---|---|---|
| Coulomb | C | 3.6 |
| Kilocoulomb | kC | 0.0036 |
| Millicoulomb | mC | 3,600 |
| Microcoulomb | µC | 3,600,000 |
| Nanocoulomb | nC | 3,600,000,000 |
| Picocoulomb | pC | 3.6e12 |
| Ampere-hour | Ah | 0.001 |
| Abcoulomb (EMU) | abC | 0.36 |
| Statcoulomb (ESU) | statC | 1.079252849e10 |
| Faraday (chemistry) | F | 3.731137076e-5 |
| Elementary charge | e | 2.246943e19 |
How the milliampere-hour to coulomb conversion works
The coulomb is the base unit of electric charge, and most of the units here are either decimal multiples of it (kilocoulomb, millicoulomb, microcoulomb, nanocoulomb, picocoulomb) or practical battery-rating units built from current × time, since charge is exactly that: the ampere-hour and milliampere-hour. A handful of legacy units — the abcoulomb, statcoulomb, faraday, and elementary charge — come from older or more specialized measurement systems, but every one of them ultimately reduces to a fixed multiple of the coulomb.
To convert milliampere-hours to coulombs, multiply by 3.6:
C = mAh × 3.6
A typical smartphone battery rated at 3,000 mAh therefore stores 3,000 × 3.6 = 10,800 coulombs of charge. Scale that up to a power-tool battery rated at 2 Ah (2,000 mAh): 2 × 3,600 = 7,200 coulombs. And at the opposite end of the scale, a single coulomb corresponds to about 6.242 × 10¹⁸ electrons (1 ÷ 1.602176634×10⁻¹⁹), a constant worth knowing any time you need to connect a macroscopic charge measurement, like a battery rating or a lightning strike's charge transfer, to a literal electron count.
Charge units show up constantly outside the physics classroom: every battery capacity rating on a phone, laptop, power bank, or electric vehicle is quoted in Ah or mAh, which is a charge figure even though shoppers often read it as a proxy for "how much energy" the battery holds. Electrochemists lean on the faraday constant to calculate exactly how much metal gets deposited or dissolved during electroplating and electrolysis, since Faraday's laws of electrolysis relate charge passed directly to moles of substance reacted — critical for anything from silver-plating jewelry to refining aluminum at industrial scale. Particle and semiconductor physicists, meanwhile, often work in multiples of the elementary charge itself rather than converting to coulombs at all, since that's the natural unit for describing the charge carried by a single electron, proton, or ion. Even atmospheric scientists use coulombs when describing how much charge a lightning strike transfers between a cloud and the ground, typically tens of coulombs in a fraction of a second.
One subtlety worth flagging: a battery's mAh rating is charge, not energy, so two batteries with the same mAh rating but different voltages store different amounts of usable energy (energy = charge × voltage) — that's why watt-hours, not amp-hours, are the fair way to compare batteries across different voltage classes, and why comparing a 3.7 V phone cell to a 12 V power-tool pack purely by mAh rating is misleading. It's also easy to confuse the faraday (a unit of charge, about 96,485 C, used in electrochemistry) with the completely unrelated farad (a unit of capacitance, used for capacitors) — same root name, honoring the same scientist, but entirely different physical quantities measuring entirely different things. A smaller but similar trap sits between the abcoulomb and the ordinary coulomb: the abcoulomb's factor of 10 is easy to mistake for a typo or a simple metric multiple, when it's actually a fixed artifact of how the older CGS-EMU system defined its base electrical units relative to length, mass, and time rather than relative to the modern ampere.
Questions
How many coulombs are in one ampere-hour?
One ampere-hour equals exactly 3,600 coulombs, since an ampere-hour is just one ampere of current sustained for one hour (3,600 seconds), and current × time gives charge.
Which units does this electric charge converter cover?
12 in total: coulomb, kilocoulomb, millicoulomb, microcoulomb, nanocoulomb, picocoulomb, ampere-hour, milliampere-hour, abcoulomb (EMU), statcoulomb (ESU), faraday, and the elementary charge.
Are the battery-related conversions (mAh, Ah) exact?
Yes — the mAh/Ah-to-coulomb relationship is a fixed definitional conversion (current × time), so there's no rounding uncertainty there. The constants tied to elementary charge and the faraday carry many significant digits because they're measured physical constants, so very precise scientific work should keep more decimal places than the display shows.
Should I use coulombs or ampere-hours for a given calculation?
Use ampere-hours (or mAh) when you're sizing or comparing battery capacity, since that's the convention on every datasheet and product label. Switch to coulombs for circuit analysis, capacitor charge calculations (Q = CV), or any formula pulled straight from physics, since SI equations are written in coulombs.
What are the abcoulomb and statcoulomb, and will I ever need them?
They're charge units from the two competing 19th-century CGS measurement systems — the abcoulomb from the electromagnetic (EMU) system, equal to 10 coulombs, and the statcoulomb from the electrostatic (ESU) system, a tiny fraction of a coulomb. Modern work almost never requires them, but they still turn up when reading older electromagnetism textbooks or historical papers.
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