Electric Charge & Battery Capacity Calculator

Electromagnetism, Electrochemistry & Electric Charge Metrology

Electric Charge dt) is the fundamental physical property of matter that causes it to experience a force in an electromagnetic field:

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• Universal Electric Charge Conversion Formulas (CODATA & SI Standards)**:

1 Coulomb (C) = 1 Ampere-second (A·s) = 6.241509 × 10^18 electrons

1 Ampere-hour (Ah) = 3,600 Coulombs = 1,000 mAh

1 Milliampere-hour (mAh) = 3.60 Coulombs

1 Faraday (F) = N_A × e = 96,485.33212 Coulombs (Charge of 1 mole of electrons)

1 Elementary charge (e) = 1.602176634 × 10^-19 Coulombs

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• Stored Battery Energy & Electron Count Formulas**:

N_e = Q_Coulombs1.602176634 × 10^-19 (Total Number of Electrons)

E_Wh = Q_Ah × V_nom = Q_mAh × V_nom1,000 (Watt-hours)

E_Joules = Q_Coulombs × V_nom = E_Wh × 3,600

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• Standard Electrochemical & Physical Benchmarks**:

• Static Carpet Spark: 10.0 nC 6.24 × 10^10 electrons 10–20 kV shock

• Lightning Bolt Stroke: 15.0 Coulombs 4.167 mAh 9.36 × 10^19 electrons

• Smartphone Battery: 5,000 mAh 18,000 C 5.0 Ah 19.25 Wh (@ 3.85V)

• Faraday Constant: 1.0 Faraday = 96,485.33 C 26.801 Ah

• EV Traction Battery: 150.0 Ah 540,000 C 60.0 kWh (@ 400V)

How to Use This Calculator

Enter your Electric Charge Magnitude (Q) (e.g. 5000 in charge), From Electric Charge Unit — choose from Milliampere-hours (mAh - Smartphone Battery Standard), Ampere-hours (Ah - EV / Automotive Battery Standard), Coulombs (C = A·s - SI Base Unit), To Electric Charge Unit — choose from Coulombs (C = A·s), Ampere-hours (Ah), Milliampere-hours (mAh), Nominal Battery Voltage (V in Volts) (e.g. 3.85 in V), and Electrochemical & Physical Benchmark — choose from Custom Electric Charge, Flagship Smartphone Li-Ion Cell (5,000 mAh @ 3.85V) → 18,000 Coulombs | 5.00 Ah | 19.25 Wh stored energy, EV Traction Battery Module (150.0 Ah @ 400V) → 540,000 Coulombs | 150,000 mAh | 60.00 kWh. Results update instantly as you type — adjust any value to compare scenarios.

The Formula

Multipliers to SI Base Unit Coulombs (C = A*s)

Stored Energy: E = Q_Ah * V_nom (in Watt-hours)

Worked Example

A hardware engineer evaluating a 5,000 mAh battery cell operating at 3.85V nominal converts 5,000 mAh to 5.0 Ah and 18,000 Coulombs, calculating the cell delivers 19.25 Watt-hours (69.3 kJ) of usable electrical work.

Understanding Your Result

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