Electricity converters
Charge Converter
Convert electric charge units: coulomb, amp-hour, faraday and elementary charge.
Result
3600 C
1 Ah = 3600 C
All units for this value
| Unit | Symbol | Value |
|---|---|---|
| Coulomb | C | 3600 |
| Kilocoulomb | kC | 3.6 |
| Millicoulomb | mC | 3600000 |
| Microcoulomb | µC | 3600000000 |
| Nanocoulomb | nC | 3.60000e+12 |
| Picocoulomb | pC | 3.60000e+15 |
| Ampere-hour | Ah | 1 |
| Milliampere-hour | mAh | 1000 |
| Ampere-minute | A·min | 60 |
| Ampere-second | A·s | 3600 |
| Abcoulomb | abC | 360 |
| Statcoulomb (franklin) | statC | 1.07925e+13 |
| Faraday (chemical) | F | 0.0373114 |
| Elementary charge | e | 2.24694e+22 |
About this calculator
Electric charge is the fundamental quantity behind every current, battery capacity rating, and chemical reaction involving electrons, measured in coulombs. This converter switches between the SI coulomb and its metric multiples, battery-style ampere-hour units, CGS units like the abcoulomb and statcoulomb, and chemistry-scale units like the faraday and the elementary charge.
How it works in plain English
Every unit here is rescaled through the coulomb, the SI base unit of electric charge equal to the charge transported by one ampere flowing for one second. Metric multiples such as kilocoulomb, millicoulomb, microcoulomb, nanocoulomb, and picocoulomb follow straightforward powers of ten in each direction from that base.
Battery-style units describe the same underlying quantity from a practical angle: an ampere-hour is the charge delivered by a one-ampere current sustained for one hour, so it equals 3600 coulombs, while a milliampere-hour is one-thousandth of that. The CGS abcoulomb equals exactly 10 coulombs, and the statcoulomb, also called the franklin, is a much smaller unit equal to about 3.336 × 10⁻¹⁰ coulombs, reflecting the different scale conventions of the electromagnetic and electrostatic CGS systems. On the chemistry side, the faraday represents the charge carried by one mole of electrons, roughly 96,485.33 coulombs, and the elementary charge is the charge of a single electron or proton, about 1.602176634 × 10⁻¹⁹ coulombs.
Pick a from and to unit, type in a value, and the converted charge appears right away, alongside a table listing that same quantity across every supported unit. A precision control adjusts the number of decimal places shown, and a swap button reverses the selected pair of units in a single click.
The formula
- value_in_target = value_in_source × (source factor to coulombs) ÷ (target factor to coulombs)
- 1 ampere-hour (Ah) = 3600 coulombs
- 1 faraday = 96,485.33212 coulombs (charge of one mole of electrons)
- 1 elementary charge (e) = 1.602176634 × 10⁻¹⁹ coulombs
Worked example
Suppose a phone battery is rated at 3000 milliampere-hours and someone wants to know that capacity in coulombs to compare it against a physics textbook formula. Multiplying by the milliampere-hour factor: 3000 × 3.6 = 10,800 coulombs. As a quick check, converting that same result into ampere-hours by dividing by 3600 gives exactly 3 Ah, confirming the milliampere-hour figure was scaled correctly before it gets used elsewhere.
Entering 3000 into the mAh field with coulomb selected as the target shows 10,800 C immediately. The full unit table also reports this same charge as 10.8 kC, 3 ampere-hours, and about 0.112 faradays, all computed from that single entry without any manual multiplication.
Charge unit reference values
| Unit | Value in coulombs |
|---|---|
| 1 ampere-hour (Ah) | 3,600 |
| 1 milliampere-hour (mAh) | 3.6 |
| 1 abcoulomb (abC) | 10 |
| 1 statcoulomb (statC, franklin) | 3.335640951981521 × 10⁻¹⁰ |
| 1 faraday | 96,485.33212 |
| 1 elementary charge (e) | 1.602176634 × 10⁻¹⁹ |
Standard SI and CGS unit definitions
Frequently asked questions
What does an ampere-hour rating actually mean?
An ampere-hour describes the amount of charge a battery can deliver, calculated as the current it supplies multiplied by how long it can sustain that current. A 3000 mAh battery could in principle deliver 3000 milliamps for one hour, or 1500 milliamps for two hours, since the total charge stays the same.
Why is the elementary charge so much smaller than a coulomb?
A coulomb was defined at a macroscopic, everyday scale long before the electron's charge was measured, so it corresponds to an enormous number of individual electrons. One coulomb equals roughly 6.242 × 10¹⁸ elementary charges, which is why the elementary charge itself is such a tiny fraction of a coulomb.
What is a faraday used for?
The faraday is a chemistry-scale unit representing the charge carried by one mole of electrons, useful in electrochemistry calculations such as electroplating or electrolysis where reactions are tracked in moles of reactant. It links directly to the coulomb through Avogadro's number and the elementary charge.
How does the statcoulomb differ from the abcoulomb?
Both come from the older CGS system of units, but they were built around different base conventions: the abcoulomb comes from the electromagnetic CGS system and equals exactly 10 coulombs, while the statcoulomb comes from the electrostatic CGS system and is a much smaller unit, about 3.336 × 10⁻¹⁰ coulombs. This converter accounts for that difference automatically.
Can I convert a lab measurement in microcoulombs to ampere-hours?
Yes. Select microcoulomb as the from unit and ampere-hour as the to unit, then enter the measured value. The converter passes the figure through the shared coulomb base automatically, so there's no need to manually track the very different scales of the two units.
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