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Milliampere-hours to Coulombs Converter (mA·h to C)

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Live Conversion • ISO 80000-6:2022 Certified
1 Milliampere-hour = 3.6 Coulomb
1 mA·h = 3.6 C • 1 C = 0.277778 mA·h
Milliampere-hour to Coulomb: One Milliampere-hour is equal to 3.6 Coulombs.
Certified Authority Value
3.60000000
C
Exact: 1 C ≡ 0.2777777778 mA·h
mA·h
mA·h
C
C 3.6
Quick Values:
Conversion Formula
To convert Milliampere-hour to Coulomb, multiply by 3.6
mA·h × 3.6 = C

Calculation: 1 mA·h × 3.6 = 3.6 C

Common Milliampere-hour to Coulomb Calculations

Quick-lookup reference table showing calculated equivalents for standard increments between Milliampere-hour (mA·h) and Coulomb (C).

Tap any row to calculate
Milliampere-hour to Coulomb: Primary Direct Table (15 Steps)
Milliampere-hour to Coulomb Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 mA·h 0.0036 C 3.6 × 10⁻³
0.01 mA·h 0.036 C 3.6 × 10⁻²
0.1 mA·h 0.36 C 3.6 × 10⁻¹
0.5 mA·h 1.8 C 1.8 × 10⁰
1 mA·h 3.6 C 3.6 × 10⁰
2 mA·h 7.2 C 7.2 × 10⁰
5 mA·h 18 C 1.8 × 10¹
10 mA·h 36 C 3.6 × 10¹
20 mA·h 72 C 7.2 × 10¹
25 mA·h 90 C 9 × 10¹
50 mA·h 180 C 1.8 × 10²
100 mA·h 360 C 3.6 × 10²
250 mA·h 900 C 9 × 10²
500 mA·h 1800 C 1.8 × 10³
1000 mA·h 3600 C 3.6 × 10³
Coulomb to Milliampere-hour: Reciprocal Summary
Coulomb to Milliampere-hour Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 C 0.277778 mA·h 2.778 × 10⁻¹
5 C 1.388889 mA·h 1.389 × 10⁰
10 C 2.777778 mA·h 2.778 × 10⁰
50 C 13.888889 mA·h 1.389 × 10¹
100 C 27.777778 mA·h 2.778 × 10¹

Real-World Context & Everyday Benchmarks

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To help contextualize these units in everyday life, science, and engineering, here are verified real-world reference points for Milliampere-hour (mA·h) and Coulomb (C):

Milliampere-hour References:

  • Standard rechargeable AAA NiMH battery capacity rating 800 mAh
  • Standard rechargeable AA NiMH battery cell capacity 2500 mAh
  • Modern flagship smartphone internal lithium-ion battery capacity 4500 mAh
  • Portable USB power bank external backup battery capacity 20000 mAh

Coulomb References:

  • Typical electrostatic spark charge from touching metal doorknob 5.0E-6 C
  • Average cloud-to-ground lightning stroke electrical charge transfer 15 C
  • Electric charge passing through 100W bulb in one hour of operation 3000 C
ISQ Dimension: [I T] Coherent SI Unit: coulomb (C) Electromagnetism, Circuits & Field Theory

How to Convert Milliampere-hour to Coulomb

Converting Milliampere-hour (mA·h) to Coulomb (C) is a core calculation in Electric Charge, which quantifies the fundamental electrostatic physical property of matter that causes it to experience electromagnetic forces. Because Milliampere-hour represents a larger magnitude than Coulomb, converting from mA·h to C expands the numerical figure. Exactly 1 Milliampere-hour encompasses 3.6 Coulomb. To convert any quantity, multiply the value in Milliampere-hour by 3.6.

Direct Factor1 mA·h = 3.6 C
Inverse Ratio1 C = 0.277778 mA·h
Conversion ScaleDirect Proportional Magnitude Expansion
First-Principles SI Derivation ProofNIST SP 811 / ISO 80000 Compliance

Mathematical Conversion Derivation via Coherent SI Base Unit

Under the International System of Quantities (ISQ), dimensional conversion between non-SI units is rigorously resolved by bridging through the coherent SI base unit (coulomb (C)) without arbitrary rounding:

Vtarget=Vsource×(ksource→SIktarget→SI)V_{\text{target}} = V_{\text{source}} \times \left( \frac{k_{\text{source} \to \text{SI}}}{k_{\text{target} \to \text{SI}}} \right)
Universal Dimensional Conversion Law (ISO 80000 / NIST SP 811)
1. Source SI Bridge (ksource):1 mA·h = 3.6 coulomb (C)
2. Target SI Bridge (ktarget):1 C = 1 coulomb (C)
Step-by-step substitution for Milliampere-hour → Coulomb:V(C) = V(mA·h) × ( 3.6 / 1 ) = V(mA·h) × 3.6
Mathematical FormulaValue in Coulomb = Value in Milliampere-hour × 3.6Direct computational formula applied for standard conversion.
Worked Example

For an engineering input of 8 mA·h, applying the conversion factor yields exactly 28.8 C. At larger operational scale, 5000 Milliampere-hour corresponds to 18000 C.

Inverse check: 1 C = 0.277778 mA·h.

Understanding Milliampere-hour and Coulomb

Milliampere-hour

mA·h
SI Multiple

A Milliampere-hour (mA·h) is a decimal multiple of the SI-derived unit for electric charge.

Applications & Practical Context

In practical charge terms, a standard rechargeable AAA NiMH battery capacity rating equals 800 mAh, a standard rechargeable AA NiMH battery cell capacity equals 2500 mAh, a modern flagship smartphone internal lithium-ion battery capacity equals 4500 mAh.

Physical Setup

An electric charge of 1 mA·h corresponds to 3.6 C (equivalent to 3.6 ampere-seconds of charge transport).

Conversion to SI Unit: coulomb (C)
1 mA·h = 3.6 C

Coulomb

C
SI Base Standard

A Coulomb (C) is the official base standard unit for electric charge.

Applications & Practical Context

In practical charge terms, a typical electrostatic spark charge from touching metal doorknob equals 5 × 10⁻⁶ C, a average cloud-to-ground lightning stroke electrical charge transfer equals 15 C, a electric charge passing through 100W bulb in one hour of operation equals 3000 C.

Physical Setup

An electric charge of 1 C represents the net electrostatic charge transported by a steady current of 1 ampere flowing for 1 second.

Conversion to SI Unit: coulomb (C)
1 C = 1 C (Base Standard)

Domain Metrology & Engineering Applications

Governing Law & Equation

Conservation of Electric Charge (Q = ∫ I dt)

Measurement Instrumentation

Rigorously quantified in laboratory and field settings using Faraday cup charge collectors, electronic coulombmeters, and precision charge-integrating electrometers.

Primary Industry Sectors

Applied across electrostatic discharge (ESD) semiconductor auditing, xerographic printing, particle accelerator beam measurement, and industrial electrostatic powder coating under international metrology standard ISO 80000-6:2022, CODATA 2022.

Physical Orders of Magnitude & Laboratory Reference Benchmarks

Physical Phenomenon / Engineering ReferenceReference ValueConverted to Coulomb
Standard rechargeable AAA NiMH battery capacity rating800 mAh2880 C
Standard rechargeable AA NiMH battery cell capacity2500 mAh9000 C
Modern flagship smartphone internal lithium-ion battery capacity4500 mAh16200 C
Portable USB power bank external backup battery capacity20000 mAh72000 C
Institutional Metrology & Standard Authority:

Formulas, conversion coefficients, and base definitions on this page strictly adhere to the ISO 80000-6:2022, CODATA 2022 and the BIPM SI Brochure (9th Edition). Governed by Conservation of Electric Charge (Q = ∫ I dt) under ISO 80000 dimensional vector [I T].

Multi-Variable Engineering Bridge Coulomb Transfer & Current Discharge

Electric Charge to Discharge Current Bridge (Amperes • Milliamperes • Microamperes • Kiloamperes)

Calculate continuous electric current I = Q / t from accumulated charge across discharge durations, bridging electric charge [I T] and current [I] via elapsed time (t).

I = Q / t
Vector: [C] ÷ [s] → [A]
Live Calculated Bridge Equivalent:
1 mA·h at Standard 1-Hour Battery C-Rate (3,600 s) = 0.001 A
Equals 1 mA • 1 × 10⁻⁶ kA • 1000 μA
SI Current
0.001
A
Amperes
Electronics Scale
1
mA
Milliamperes
Industrial Arc / Fault
1 × 10⁻⁶
kA
Kiloamperes
Low-Power Sleep
1000
μA
Microamperes
Semiconductor Leakage
1 × 10⁹
pA
Picoamperes
EMU Standard
1 × 10⁻⁴
Bi
Biot (Abampere)
  1. 1. Normalize Input to SI Base Unit (C):
    Q = 1 mA·h × 3.6 = 3.6 C
  2. 2. Apply Engineering Parameter (t):
    Selected condition: Standard 1-Hour Battery C-Rate (3,600 s) at t = 3600 s
  3. 3. Execute Governing Physical Law in SI Units:
    I = Q / t = (3.6 C) ÷ (3600 s) = 0.001 A
  4. 4. Convert to Standard Engineering Units:
    • A: 0.001 × 1 = 0.001 A (Amperes) • mA: 0.001 × 1000 = 1 mA (Milliamperes) • kA: 0.001 × 0.001 = 1 × 10⁻⁶ kA (Kiloamperes) • μA: 0.001 × 1000000 = 1000 μA (Microamperes) • pA: 0.001 × 1 × 10¹² = 1 × 10⁹ pA (Picoamperes) • Bi: 0.001 × 0.1 = 1 × 10⁻⁴ Bi (Biot (Abampere))
Explore Electric Current Converter →
Engineering Substance / Operating Standard Parameter Value (s) Reference State / Condition Typical Industrial & Engineering Application
Lightning Return Stroke (30 μs) 3 × 10⁻⁵ 30 microseconds Atmospheric electrostatic cloud-to-ground discharge
Electrostatic Discharge Pulse (100 ns) 1 × 10⁻⁷ 100 nanoseconds IEC 61000-4-2 human body model ESD pulse
Fast Battery Charge (60 s) 60 60 seconds (1 min) High-rate supercapacitor discharge window
Standard 1-Hour Battery C-Rate (3,600 s) 3600 3,600 seconds (1 hr) Nominal 1C battery cell discharge cycle
Slow Deep Discharge (36,000 s) 36000 36,000 s (10 hrs) Solar energy storage 10-hour reserve rate (0.1C)
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Frequently Asked Questions

There are exactly 3.6 coulombs (C) in 1 milliampere-hour (mA·h). To calculate larger amounts manually, simply multiply your total number of milliampere-hours by the conversion multiplier of 3.6.

The mathematical formula to convert milliampere-hours to coulombs is: [value] * 3.6 = coulombs. Rather than doing the math manually, you can use our high-precision online calculator to process this exact equation instantly without rounding errors.

To perform the reverse calculation from coulombs back to milliampere-hours, you must divide your starting value by 3.6. Our bidirectional tool automatically computes this inverse equation the moment you type into the coulomb input field.

1 Milliampere-hour is larger than 1 Coulomb. Specifically, 1 Milliampere-hour equals exactly 3.6 coulombs, making it 3.6 times larger (a difference of 0.56 orders of magnitude). Therefore, quantities expressed in coulombs require a larger numerical value to represent the same physical amount.

A typical standard rechargeable AAA NiMH battery capacity rating measures 800 mAh, which corresponds to 2880 C (Coulomb).