Electric Charge Calculator

Charge from current and time (Q = I × t), and conversions between coulombs, amp-hours, and electrons.
Q = I × t
Coulomb ↔ Ah ↔ Electrons

Charge, Current & Time

Q = I × t  •  I = Q / t  •  t = Q / I  (Q in coulombs, I in amps, t in seconds)
2A for 10s
0.5A for 1 hour
Time for 50C at 2A
A
Enter values and press Calculate.

Charge Unit Conversions

1 Ah = 3600 C  •  1 mAh = 3.6 C  •  electrons = Q / (1.602×10−19)
2000 mAh battery
100 Ah battery
3600 C
A
Enter values and press Calculate.

Electric Charge Explained

Electric charge (Q) is the amount of electricity that flows, measured in coulombs (C). Current is the rate of charge flow, so charge is simply current multiplied by time: one amp flowing for one second moves one coulomb. Batteries are rated in amp-hours (Ah), which is just charge expressed over hours.

QuantityFormula / Value
ChargeQ = I × t
Amp-hour1 Ah = 3600 C (1 mAh = 3.6 C)
Electrons in a chargen = Q / e, e = 1.602×10−19 C
Runtime from capacityt = capacity(Ah) / current(A)

Because one electron carries a tiny 1.602×10−19 C, even a single coulomb is about 6.24×1018 electrons.

Real-World Applications & Examples

Worked examples

1. Basic charge. 2 A for 10 s: Q=2×10=20 C, which is about 1.25×10²⁰ electrons.
2. Over an hour. 0.5 A for 1 hour: Q=0.5×3600=1800 C = 0.5 Ah.
3. Battery capacity. A 2000 mAh cell holds 2000×3.6=7200 C. At 0.5 A it lasts 2 Ah/0.5 A = 4 hours.
4. Solving for time. To move 50 C at 2 A: t=Q/I=50/2=25 s.
5. Solving for current. To deliver 100 C in 20 s: I=Q/t=100/20=5 A.
6. Electron count. A 100 Ah battery stores 360000 C ≈ 2.25×10²⁴ electrons of deliverable charge.

Frequently Asked Questions

What is electric charge?

Electric charge is the quantity of electricity, measured in coulombs (C). It is the total amount of electrons that have flowed, equal to current multiplied by time.

What is the formula for charge?

Q = I × t, where Q is charge in coulombs, I is current in amps, and t is time in seconds. Rearranged, I = Q/t and t = Q/I.

What is a coulomb?

The SI unit of charge. One coulomb is the charge moved by one amp of current flowing for one second, and equals about 6.24×10¹⁸ electrons.

How do I convert amp-hours to coulombs?

Multiply by 3600, since one hour is 3600 seconds. So 1 Ah = 3600 C and 1 mAh = 3.6 C.

What does a battery's mAh rating mean?

It is the charge the battery can deliver: a 2000 mAh cell can supply 2000 mA for one hour, or 1000 mA for two hours, and so on (ideally).

How do I find battery runtime from capacity?

Divide the capacity by the current: runtime(h) = capacity(Ah) / current(A). A 2 Ah battery at 0.5 A lasts about 4 hours.

How many electrons are in one coulomb?

About 6.24×10¹⁸, because each electron carries 1.602×10⁻¹⁹ C of charge.

What is the charge of a single electron?

The elementary charge, e = 1.602×10⁻¹⁹ coulombs (negative for an electron, positive for a proton).

Is charge the same as current?

No. Current is the rate of charge flow (coulombs per second = amps). Charge is the total amount that has flowed over a time.

Why do capacity ratings not always match real runtime?

Real batteries deliver less at high discharge rates and low temperatures (the Peukert effect), so actual runtime is often shorter than capacity divided by current.

How is charge used in electroplating?

The mass of metal deposited is proportional to the charge passed (Faraday's law), so controlling current and time controls the coating.

Can I enter time in minutes or hours?

Yes — choose the time unit next to the time field and the calculator converts to seconds internally.

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