This electric charge unit converter changes a quantity of charge between coulombs, millicoulombs, microcoulombs, nanocoulombs, picocoulombs, ampere-hours, milliampere-hours, abcoulombs, statcoulombs and elementary charges. One coulomb is one ampere for one second, so 1 Ah = 3,600 C and 1 mAh = 3.6 C exactly.
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How to use the electric charge unit converter
- Enter the charge, for example 5,000 from a phone battery label in mAh.
- In the electric charge unit converter, choose its unit and the target unit, such as mAh to coulombs.
- Read the electric charge unit converter result: 5,000 mAh = 18,000 C.
For mAh to coulombs, multiply by 3.6; for coulombs to mAh, divide by 3.6. For Ah to coulombs, multiply by 3,600.
What is electric charge?
Electric charge is the quantity of electricity carried by particles. The SI unit is the coulomb (C), equal to one ampere flowing for one second. Battery capacity is usually given in ampere-hours or milliampere-hours: 1 Ah = 3,600 C.
Conversion formula
The electric charge unit converter stores every unit as a multiple of the base unit, the coulomb (C). To convert:
value in target unit = value × (factor of source unit ÷ factor of target unit)
where each factor is the size of the unit in coulombs.
Common electric charge conversions
| From | To | 1 unit equals |
|---|---|---|
| coulomb (C) | millicoulomb (mC) | 1,000 mC |
| milliampere hour (mA·h) | coulomb (C) | 3.6 C |
| ampere hour (A·h) | coulomb (C) | 3,600 C |
| microcoulomb (µC) | coulomb (C) | 1 × 10−6 C |
Electric charge unit converter worked example
Convert 25 coulombs to millicoulombs:
- Factor of C = 1 C
- Factor of mC = 0.001 C
- 25 × 1 ÷ 0.001 = 25,000 mC
Electric charge unit reference
| Unit | Symbol | Group | Equals (C) |
|---|---|---|---|
| Coulomb | C | SI | 1 |
| Millicoulomb | mC | SI | 0.001 |
| Microcoulomb | µC | SI | 1 × 10−6 |
| Nanocoulomb | nC | SI | 1 × 10−9 |
| Picocoulomb | pC | SI | 1 × 10−12 |
| Ampere Hour | A·h | Practical | 3,600 |
| Milliampere Hour | mA·h | Practical | 3.6 |
| Abcoulomb | abC | CGS-EMU | 10 |
| Statcoulomb | statC | CGS-ESU | 3.33564 × 10−10 |
| Elementary Charge (e) | e | Atomic | 1.60218 × 10−19 |
Reverse factors for each electric charge unit
The reference table gives each unit in coulombs. To go the other way, divide by that factor; the list below does the division for you.
- Millicoulomb (mC), SI: 1 mC = 0.001 C, so 1 C = 1,000 mC.
- Microcoulomb (µC), SI: 1 µC = 1 × 10−6 C, so 1 C = 1,000,000 µC.
- Nanocoulomb (nC), SI: 1 nC = 1 × 10−9 C, so 1 C = 1 × 109 nC.
- Picocoulomb (pC), SI: 1 pC = 1 × 10−12 C, so 1 C = 1 × 1012 pC.
- Ampere Hour (A·h), Practical: 1 A·h = 3,600 C, so 1 C = 0.0002777778 A·h.
- Milliampere Hour (mA·h), Practical: 1 mA·h = 3.6 C, so 1 C = 0.2777778 mA·h.
- Abcoulomb (abC), CGS-EMU: 1 abC = 10 C, so 1 C = 0.1 abC.
- Statcoulomb (statC), CGS-ESU: 1 statC = 3.33564 × 10−10 C, so 1 C = 2.99793 × 109 statC.
- Elementary Charge (e) (e), Atomic: 1 e = 1.60218 × 10−19 C, so 1 C = 6.2415 × 1018 e.
Battery capacity in coulombs
Battery labels give charge in mAh or Ah. The same capacities in coulombs:
| Battery | Capacity | Coulombs |
|---|---|---|
| AA NiMH cell, typical | 2,000 mAh | 7,200 |
| Phone battery, typical | 5,000 mAh | 18,000 |
| Laptop pack | 6,000 mAh | 21,600 |
| 12 V car battery | 60 Ah | 216,000 |
Capacities vary by model; the conversion itself is exact. Charge is not energy: energy in watt-hours is Ah × voltage, so a 5,000 mAh cell at a nominal 3.85 V stores about 19.25 Wh.
Elementary charge and the faraday
Since 2019 the SI fixes the elementary charge at exactly e = 1.602176634 × 10⁻¹⁹ C, so one coulomb is about 6.241509 × 10¹⁸ electrons. A mole of electrons carries the Faraday constant, about 96,485.33 C. That makes electrolysis arithmetic simple: depositing 1 mol of copper (Cu²⁺) needs 2 × 96,485 ≈ 192,971 C, or about 53.6 Ah. Convert currents with the electric current converter and energy with the energy unit converter.
mAh to coulombs
One amp-hour is 3,600 coulombs, so a 3,000 mAh phone battery holds 10,800 C of charge. The electric charge unit converter does this in one step and also gives the result in faradays, which chemists use for electrolysis.
Related converters and calculators
Related electrical tools:
- Electric current converter: A and mA
- Voltage converter: V and mV
- Capacitance converter: F, µF, pF
- Linear charge density converter: C/m
- Energy unit converter: J, kWh, BTU
Sources
NIST CODATA: Elementary charge; NIST CODATA: Faraday constant; NIST Special Publication 811, Appendix B.
Questions about this calculator
How many coulombs are in 1 mAh?
3.6 C exactly.
How do I convert mAh to coulombs?
Multiply by 3.6. For example, 3,000 mAh = 10,800 C.
How do I convert coulombs to mAh?
Divide by 3.6. For example, 1,000 C ≈ 277.8 mAh.
How many coulombs are in an amp-hour?
3,600 C exactly.
How many electrons are in one coulomb?
About 6.241509 × 10¹⁸, from e = 1.602176634 × 10⁻¹⁹ C.
Check the assumptions and units before relying on a result. Financial, tax and health estimates do not replace advice for your individual circumstances.
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