Charge Converter
Print pageAll Equivalents Reference Table
| Unit | Equivalent Value |
|---|
Electric Charge (also known as Quantity of Electricity, Electrostatic Charge Amount, or Faradaic Ionic Charge, symbolized by Q or q) measures the fundamental physical property of subatomic matter that causes it to experience a mechanical force when placed in an electromagnetic field (Q = I · t = ∫ I(t) dt, where I is electric current in amperes and t is time in seconds). Across lithium-ion battery capacity rating (mAh / Ah), electric vehicle powertrain energy storage, electrolytic electroplating stoichiometry, semiconductor gate capacitance, atmospheric lightning discharge modeling, and subatomic particle physics, electric charge is categorized across five major engineering unit families: International System of Units (SI metric fundamental: Coulomb / C, Ampere-Second / A·s, Kilocoulomb / kC, Megacoulomb / MC, Millicoulomb / mC, Microcoulomb / μC), Electrical Power & Battery Capacity metrics (Ampere-Hour / A·h / Ah, Ampere-Minute / A·min), Electrochemical Constant standards (Faraday / F based on Carbon-12), CGS Electrostatic & Electromagnetic metrics (Statcoulomb / stC, ESU of Charge, Franklin / Fr, Abcoulomb / abC, EMU of Charge), and Quantum Fundamental Constants (Elementary Charge / e).
Our free online Charge Converter provides instant, high-precision conversions across all SI metric, battery capacity Ah, electrochemical Faraday, CGS, and elementary subatomic charge units:
- Ampere-Hour to Coulombs [Battery Storage Standard]: Multiply Ah by
3,600.0(1 Ampere-Hour = 3,600.0 Coulombs = 3.60 kC ⇒ 1 Coulomb = 2.77777778 × 10-4 Ah). - Elementary Charge to Coulombs [Quantum Subatomic Base]:
1 Elementary Charge (e) = 1.602176634 × 10-19 Coulombs(1 Coulomb = 6.241509074 × 1018 e). - Faraday to Coulombs & Ampere-Hours [Electrochemistry Metric]: Multiply Faraday by
96,485.3321(1 Faraday = 96,485.33 C = 96.4853 kC = 26.8014 Ah). - Abcoulomb to Coulombs [CGS Electromagnetic Unit]: Multiply abC by
10.0(1 abcoulomb = 10.0 Coulombs = 10.0 A·s = 1.0 EMU of charge). - Statcoulomb to Coulombs & Franklins [CGS Electrostatic Unit]: Multiply stC by
3.33564095 × 10-10(1 statcoulomb = 1 Franklin = 1 ESU = 3.33564 × 10-10 C ⇒ 1 C = 2.99792458 × 109 stC). - Milliampere-Hour (mAh) to Coulombs [Smartphone Battery Metric]: Multiply mAh by
3.60(1 mAh = 3.60 Coulombs ⇒ 4,000 mAh = 14,400.0 C).
Master Electric Charge Conversion Table
The table below displays exact mathematical conversion relationships, SI Coulomb (C) multipliers, and Ampere-Hour (Ah) equivalents relative to 1 Coulomb (1 C = 1 A·s = 0.000277778 Ah):
| Electric Charge Unit Name | Symbol | Exact Value in Coulombs (C) | Ampere-Hour (Ah) & Elementary Charge Equivalent | Domain & Technical Application Standard |
|---|---|---|---|---|
| 1 Coulomb (Base SI Unit) | C, A·s |
1.0 C (Base SI Unit) |
0.000277778 Ah (6.24151 × 1018 e / 1.03643 × 10-5 Faraday) |
SI Fundamental Base Unit of Electric Charge |
| 1 Ampere-Hour | A·h, Ah |
3,600.0 C (3.60 kC) |
1.0 Ah (2.24694 × 1022 e / 0.037311 Faraday) |
Global Commercial Battery Energy Capacity Metric |
| 1 Faraday (Carbon-12) | F, faraday |
96,485.3321 C (96.485 kC) |
26.8014 Ah (6.02214 × 1023 e = 1 Mole of e–) |
Electrochemistry & Electrolysis Ionic Charge Unit |
| 1 Abcoulomb (EMU of Charge) | abC, EMU |
10.0 C |
0.00277778 Ah (6.24151 × 1019 e / 2.99792 × 1010 stC) | CGS Electromagnetic Unit System Standard |
| 1 Statcoulomb (Franklin / ESU) | stC, Fr, ESU |
3.33564095 × 10-10 C |
9.26567 × 10-14 Ah (2.08194 × 109 e) | CGS Electrostatic Unit System Standard |
| 1 Elementary Charge | e |
1.602176634 × 10-19 C |
4.45049 × 10-23 Ah (1.0 e = Charge of 1 Proton) | Exact Fundamental Physical Constant of Nature (2019 SI) |
| 1 Megacoulomb | MC |
1,000,000.0 C (106 C) |
277.778 Ah (10.3643 Faradays / 277,778 mAh) | Large Grid-Scale Energy Storage & Industrial Electrolysis |
Step-by-Step Smartphone & EV Battery Capacity Calculation Example
To convert a flagship smartphone lithium-ion battery rated at 5,000 milliampere-hours (5,000 mAh = 5.0 Ah) and an Electric Vehicle (EV) battery pack storing 75 Kilowatt-hours (75 kWh at a nominal voltage of 400 Volts ⇒ Q = 187.5 Ah) into SI Coulombs (C) and total Elementary Charges (e):
Step 1 (Smartphone Coulombs Conversion): Qphone = 5.0 Ah × 3,600 C/Ah = 18,000 Coulombs (18.0 kC)
Step 2 (Smartphone Elementary Charge Count): ecount = 18,000 C ÷ (1.602176634 × 10-19 C/e) = 1.12347 × 1023 Electrons
Step 3 (EV Battery Coulombs Conversion): QEV = 187.5 Ah × 3,600 C/Ah = 675,000 Coulombs (675.0 kC = 0.675 Megacoulombs MC)
Thus, the 5,000 mAh smartphone battery stores 18,000 Coulombs of charge (over 112 sextillion electrons), while the 75 kWh EV pack stores 675,000 Coulombs (0.675 MC).
Real-World Electrical & Electrochemical Charge Benchmarks
Below is a comparative reference chart showing electric charge values (Q) across static sparks, battery storage, lightning discharges, and electrochemistry:
| Physical System / Electrical Event | Electric Charge in Coulombs (C) | Battery & CGS Equivalent (Ah / stC) | Electrical Engineering & Physics Context |
|---|---|---|---|
| Single Subatomic Proton / Electron Charge | 1.602176634 × 10-19 C | 4.803204 × 10-10 stC (1.0 e) | Fundamental elementary quantum unit of electric charge |
| Human Static Electricity Shock Touch (Door Knob) | 1.0 – 10.0 μC (0.000001 – 0.00001 C) | 3,000.0 – 30,000.0 statcoulombs (stC) | Electrostatic discharge (ESD) caused by triboelectric rubbing |
| Typical Atmospheric Cloud-to-Ground Lightning Bolt | 15.0 – 50.0 C (15,000 – 50,000 mC) | 0.00417 – 0.01389 Ampere-Hours (Ah) | Massive natural atmospheric electrostatic plasma discharge |
| Smartphone Lithium-Ion Battery (4,000 mAh) | 14,400.0 C (14.4 kC) | 4.0 Ampere-Hours (4,000.0 mAh) | Portable mobile electronics electrochemical energy capacity |
| Electroplating 1 Mole of Monovalent Ions (Ag+ or Cu+) | 96,485.33 C (96.485 kC) | 26.8014 Ah (1.0 Faraday F) | Faraday’s Law of Electrolysis 1 mole electron transfer mass |
| Electric Vehicle 75 kWh Li-ion Battery Pack (400V) | 675,000.0 C (0.675 Megacoulombs MC) | 187.5 Ampere-Hours (187,500 mAh) | Automotive EV long-range traction battery pack capacity |
History & Physics: 1785 Coulomb’s Torsion Law vs May 2019 SI Redefinition
1785 Charles-Augustin de Coulomb & Torsion Balance Electrostatics
In 1785, French physicist Charles-Augustin de Coulomb published his landmark memoirs measuring electrostatic forces using a micro-torsion balance. He formulated Coulomb’s Law: electrostatic force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of distance: F = ke · (|q1 · q2| ÷ r2). In honor of his work, the SI unit of charge was named the Coulomb (1 C = 1 Ampere-second).
May 2019 CGPM 26th Conference Exact SI Elementary Charge Redefinition
On May 20, 2019 (World Metrology Day), the 26th General Conference on Weights and Measures (CGPM) officially redefined the SI base units by fixing the Elementary Charge (e) to an exact numerical value: e = 1.602176634 × 10-19 Coulombs. This eliminated reliance on physical artifact standards and anchored the Coulomb directly to fundamental quantum physics constants.
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Frequently Asked Questions (FAQ)
How do you convert Ampere-Hours (Ah) to Coulombs (C)?
To convert Ampere-Hours to Coulombs, multiply Ah by 3,600. For example, a 5 Ah battery × 3,600 = 18,000 Coulombs.
How do you convert Milliampere-Hours (mAh) to Coulombs (C)?
To convert mAh to Coulombs, multiply mAh by 3.60 (or divide mAh by 1,000 and multiply by 3,600). For example, 4,000 mAh × 3.60 = 14,400 Coulombs.
What is 1 Faraday equal to in Coulombs and Ampere-Hours?
1 Faraday (F) represents the total electric charge carried by 1 mole of electrons. It equals exactly 96,485.33 Coulombs (96.485 kC) or 26.8014 Ampere-Hours (Ah).
How many electrons make up 1 Coulomb of charge?
Exactly 6.241509074 × 1018 electrons (approx. 6.24 quintillion electrons) make up 1 Coulomb of negative electric charge (calculated as 1 C ÷ 1.602176634 × 10-19 C/e).