C · Ah · mAh · Q = I × t

Electrical Charge Converter and Calculator

Convert coulombs, Ah, mAh and elementary charges with live results and clear formulas. Calculate charge, current, time, battery energy and capacitor charge.

Choose units and enter a value; results update immediately. Negative charge and scientific notation are supported. The additional calculation panels have independent inputs.

Try an example:

Converted charge

All equivalent values

C
mAh
Ah
mC
µC
nC
pC
e

More charge units

kC
MC
A·s
A·min
abC
stC
Fr
Faraday (mol of elementary charges)

Formula and calculation

Elementary-charge equivalents

N = |Q|/e is the equivalent number of elementary charges, not the total number of electrons in an object. A proton carries +e and an electron −e. The value e = 1.602176634 × 10⁻¹⁹ C is exact. Rounded inputs may give a non-integer equivalent; the symbol is illustrative, not to scale.

Charge, current and time

Electric charge (Q)
Electric current (I)
Duration (t)

For constant current, Q = I × t. The graph starts at zero transferred charge and is a straight line, not a real battery charging curve. Time cannot be negative. To find current, time must exceed zero; to find time, current must be nonzero and the signs must agree.

Electric charge
Electric current
Duration

Formula and calculation

Charge over time

Battery charge and energy

Electric charge (Ah)
Electric charge (C)
Estimated energy (Wh)
Estimated energy (J)

Formula and calculation

Ah and mAh measure charge, not energy. Estimated Wh = Ah × nominal V; this assumes the stated voltage. Real battery voltage, usable capacity and losses vary. This is not a prediction of actual charging time or runtime.

Capacitor charge

Q (C)
Q (mC)
Q (µC)

Formula and calculation

For an ideal linear capacitor, Q = Ccap × U. Here Ccap is capacitance in farads (F), not charge in coulombs (C). A farad is not a faraday. A signed voltage gives a signed plate charge; the opposite plate has the opposite charge.

Batch conversion

Enter one value per line or separate values with semicolons, up to 100 values. A decimal point or comma is accepted; do not use thousands separators. The units above apply to every row.

More charge units

1 C = 1 A·s; 1 Ah = 3,600 C; 1 mAh = 3.6 C. One faraday is one mole of elementary-charge magnitudes, about 96,485.33212331 C. The abC, stC and Fr conversions use conventional CGS factors; displayed decimals and very large particle counts are rounded.

Try an example

5000 mAh = 5 Ah = 18 000 C
2 A × 30 min = 3600 C = 1 Ah
1000 µF × 12 V = 0.012 C = 12 mC
e = 1.602176634 × 10⁻¹⁹ C

NIST · CODATA

Electrical Charge Converter and Calculator

Charge, current and time

For constant current, Q = I × t. The graph starts at zero transferred charge and is a straight line, not a real battery charging curve. Time cannot be negative. To find current, time must exceed zero; to find time, current must be nonzero and the signs must agree.

Elementary-charge equivalents

N = |Q|/e is the equivalent number of elementary charges, not the total number of electrons in an object. A proton carries +e and an electron −e. The value e = 1.602176634 × 10⁻¹⁹ C is exact. Rounded inputs may give a non-integer equivalent; the symbol is illustrative, not to scale.

Battery charge and energy

Ah and mAh measure charge, not energy. Estimated Wh = Ah × nominal V; this assumes the stated voltage. Real battery voltage, usable capacity and losses vary. This is not a prediction of actual charging time or runtime.

Capacitor charge

For an ideal linear capacitor, Q = Ccap × U. Here Ccap is capacitance in farads (F), not charge in coulombs (C). A farad is not a faraday. A signed voltage gives a signed plate charge; the opposite plate has the opposite charge.

More charge units

1 C = 1 A·s; 1 Ah = 3,600 C; 1 mAh = 3.6 C. One faraday is one mole of elementary-charge magnitudes, about 96,485.33212331 C. The abC, stC and Fr conversions use conventional CGS factors; displayed decimals and very large particle counts are rounded.