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Ampere-hour to Coulomb (A·h to C) Conversion Calculator

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Live Conversion • ISO 80000-6:2022 Certified
1 Ampere-hour = 3600 Coulomb
1 A·h = 3,600 C • 1 C = 0.000277778 A·h
Ampere-hour to Coulomb: One Ampere-hour is equal to 3600 Coulombs.
Certified Authority Value
3600.00000000
C
Exact: 1 C ≡ 0.0002777777778 A·h
A·h
A·h
Swap to Coulomb to Ampere-hour
Swap to Coulomb to Ampere-hour
C
C 3600
Quick Values:
Conversion Formula
To convert Ampere-hour to Coulomb, multiply by 3600
A·h × 3600 = C

Calculation: 1 A·h × 3600 = 3600 C

Common Ampere-hour to Coulomb Calculations

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

Tap any row to calculate
Ampere-hour to Coulomb: Primary Direct Table (15 Steps)
Ampere-hour to Coulomb Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 A·h 3.6 C 3.6 × 10⁰
0.01 A·h 36 C 3.6 × 10¹
0.1 A·h 360 C 3.6 × 10²
0.5 A·h 1800 C 1.8 × 10³
1 A·h 3600 C 3.6 × 10³
2 A·h 7200 C 7.2 × 10³
5 A·h 18000 C 1.8 × 10⁴
10 A·h 36000 C 3.6 × 10⁴
20 A·h 72000 C 7.2 × 10⁴
25 A·h 90000 C 9 × 10⁴
50 A·h 180000 C 1.8 × 10⁵
100 A·h 360000 C 3.6 × 10⁵
250 A·h 900000 C 9 × 10⁵
500 A·h 1800000 C 1.8 × 10⁶
1000 A·h 3600000 C 3.6 × 10⁶
Coulomb to Ampere-hour: Reciprocal Summary
Coulomb to Ampere-hour Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 C 0.000277778 A·h 2.778 × 10⁻⁴
5 C 0.00138889 A·h 1.389 × 10⁻³
10 C 0.00277778 A·h 2.778 × 10⁻³
50 C 0.0138889 A·h 1.389 × 10⁻²
100 C 0.0277778 A·h 2.778 × 10⁻²
View Complete 15-Row Coulomb to Ampere-hour Table

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 Ampere-hour (A·h) and Coulomb (C):

Ampere-hour References:

  • Cordless power tool 18V lithium battery pack capacity 5 Ah
  • Standard 12-volt lead-acid automotive car starter battery 60 Ah
  • Residential solar battery energy storage system cell bank 200 Ah

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

Tap any benchmark above to automatically calculate its exact equivalent in Coulomb.

ISQ Dimension: [I T] Coherent SI Unit: coulomb (C) Electromagnetism, Circuits & Field Theory

How to Convert Ampere-hour to Coulomb

Converting Ampere-hour (A·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 Ampere-hour represents a larger magnitude than Coulomb, converting from A·h to C expands the numerical figure. Exactly 1 Ampere-hour encompasses 3600 Coulomb. To convert any quantity, multiply the value in Ampere-hour by 3600.

Direct Factor1 A·h = 3600 C
Inverse Ratio1 C = 0.000277778 A·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 A·h = 3600 coulomb (C)
2. Target SI Bridge (ktarget):1 C = 1 coulomb (C)
Step-by-step substitution for Ampere-hour → Coulomb:V(C) = V(A·h) × ( 3600 / 1 ) = V(A·h) × 3600
Mathematical FormulaValue in Coulomb = Value in Ampere-hour × 3600Direct computational formula applied for standard conversion.
Worked Example

Evaluating an input of 12 Ampere-hour (A·h) produces 43200 Coulomb (C). In heavy-duty utility and industrial workloads, 1000 A·h equals 3600000 C.

Inverse check: 1 C = 0.000277778 A·h.

Understanding Ampere-hour and Coulomb

Ampere-hour

A·h
Standard Unit

An Ampere-hour (A·h) is a recognized unit for electric charge.

Applications & Practical Context

In practical charge terms, a cordless power tool 18V lithium battery pack capacity equals 5 Ah, a standard 12-volt lead-acid automotive car starter battery equals 60 Ah, a residential solar battery energy storage system cell bank equals 200 Ah.

Physical Setup

An electric charge of 1 A·h corresponds to 3600 C (equivalent to 3600 ampere-seconds of charge transport).

Conversion to SI Unit: coulomb (C)
1 A·h = 3600 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
Cordless power tool 18V lithium battery pack capacity5 Ah18000 C
Standard 12-volt lead-acid automotive car starter battery60 Ah216000 C
Residential solar battery energy storage system cell bank200 Ah720000 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 A·h at Standard 1-Hour Battery C-Rate (3,600 s) = 1 A
Equals 1000 mA • 0.001 kA • 1000000 μA
SI Current
1
A
Amperes
Electronics Scale
1000
mA
Milliamperes
Industrial Arc / Fault
0.001
kA
Kiloamperes
Low-Power Sleep
1000000
μA
Microamperes
Semiconductor Leakage
1 × 10¹²
pA
Picoamperes
EMU Standard
0.1
Bi
Biot (Abampere)
  1. 1. Normalize Input to SI Base Unit (C):
    Q = 1 A·h × 3600 = 3600 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 = (3600 C) ÷ (3600 s) = 1 A
  4. 4. Convert to Standard Engineering Units:
    • A: 1 × 1 = 1 A (Amperes) • mA: 1 × 1000 = 1000 mA (Milliamperes) • kA: 1 × 0.001 = 0.001 kA (Kiloamperes) • μA: 1 × 1000000 = 1000000 μA (Microamperes) • pA: 1 × 1 × 10¹² = 1 × 10¹² pA (Picoamperes) • Bi: 1 × 0.1 = 0.1 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

The mathematical formula to convert ampere-hours to coulombs is: [value] * 3600 = 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 ampere-hours, you must divide your starting value by 3600. Our bidirectional tool automatically computes this inverse equation the moment you type into the coulomb input field.

1 Ampere-hour is larger than 1 Coulomb. Specifically, 1 Ampere-hour equals exactly 3600 coulombs, making it 3600 times larger (a difference of 3.56 orders of magnitude). Therefore, quantities expressed in coulombs require a larger numerical value to represent the same physical amount.

A typical cordless power tool 18V lithium battery pack capacity measures 5 Ah, which corresponds to 18000 C (Coulomb).

There are exactly 3600 coulombs (C) in 1 ampere-hour (A·h). Because 1 ampere = 1 coulomb/second and 1 hour = 3600 seconds, 1 A·h = 1 A × 3600 s = 3600 C.

To calculate the charge in coulombs (V(C)) from a value in ampere-hours (V(A·h)), multiply the input value by 3600. The exact formula is: V(C) = V(A·h) × 3600

To convert charge from coulombs (V(C)) to ampere-hours (V(A·h)), multiply by 0.000277778 (or divide by 3600). The formula is: V(A·h) = V(C) × 0.000277778

A standard 18650 Lithium-ion battery cell rated at 3.2 A·h stores 3.2 × 3600 = 11520 C of total electric charge. This figure is vital for electrochemists calculating total electron transfer during battery charge-discharge cycling.