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Elementary charges to Milliampere-hours Converter (e to mA·h)

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Live Conversion • ISO 80000-6:2022 Certified
1 Elementary charge = 4.45049065 × 10⁻²⁰ Milliampere-hour
1 e = 4.450491 × 10⁻²⁰ mA·h • 1 mA·h = 2.246943 × 10¹⁹ e
Elementary charge to Milliampere-hour: One Elementary charge is equal to 4.45049065 × 10⁻²⁰ Milliampere-hours.
Certified Authority Value
0.00000000
mA·h
Exact: 1 mA·h ≡ 2.2469432666 × 10¹⁹ e
e
e
Swap to Milliampere-hour to Elementary charge
Swap to Milliampere-hour to Elementary charge
mA·h
mA·h 4.45049065 × 10⁻²⁰
Quick Values:
Conversion Formula
To convert Elementary charge to Milliampere-hour, multiply by 4.45049065 × 10⁻²⁰
e × 4.45049065 × 10⁻²⁰ = mA·h

Calculation: 1 e × 4.45049065 × 10⁻²⁰ = 4.45049065 × 10⁻²⁰ mA·h

Common Elementary charge to Milliampere-hour Calculations

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

Tap any row to calculate
Elementary charge to Milliampere-hour: Primary Direct Table (15 Steps)
Elementary charge to Milliampere-hour Conversion Reference Table
Conversion & Equivalent Value Scientific Notation
0.001 e 4.450491 × 10⁻²³ mA·h 4.45 × 10⁻²³
0.01 e 4.450491 × 10⁻²² mA·h 4.45 × 10⁻²²
0.1 e 4.450491 × 10⁻²¹ mA·h 4.45 × 10⁻²¹
0.5 e 2.225245 × 10⁻²⁰ mA·h 2.225 × 10⁻²⁰
1 e 4.450491 × 10⁻²⁰ mA·h 4.45 × 10⁻²⁰
2 e 8.900981 × 10⁻²⁰ mA·h 8.901 × 10⁻²⁰
5 e 2.225245 × 10⁻¹⁹ mA·h 2.225 × 10⁻¹⁹
10 e 4.450491 × 10⁻¹⁹ mA·h 4.45 × 10⁻¹⁹
20 e 8.900981 × 10⁻¹⁹ mA·h 8.901 × 10⁻¹⁹
25 e 1.112623 × 10⁻¹⁸ mA·h 1.113 × 10⁻¹⁸
50 e 2.225245 × 10⁻¹⁸ mA·h 2.225 × 10⁻¹⁸
100 e 4.450491 × 10⁻¹⁸ mA·h 4.45 × 10⁻¹⁸
250 e 1.112623 × 10⁻¹⁷ mA·h 1.113 × 10⁻¹⁷
500 e 2.225245 × 10⁻¹⁷ mA·h 2.225 × 10⁻¹⁷
1000 e 4.450491 × 10⁻¹⁷ mA·h 4.45 × 10⁻¹⁷
Milliampere-hour to Elementary charge: Reciprocal Summary
Milliampere-hour to Elementary charge Conversion Reference Table
Reciprocal & Equivalent Value Scientific Notation
1 mA·h 2.246943 × 10¹⁹ e 2.247 × 10¹⁹
5 mA·h 1.123472 × 10²⁰ e 1.123 × 10²⁰
10 mA·h 2.246943 × 10²⁰ e 2.247 × 10²⁰
50 mA·h 1.123472 × 10²¹ e 1.123 × 10²¹
100 mA·h 2.246943 × 10²¹ e 2.247 × 10²¹
View Complete 15-Row Milliampere-hour to Elementary charge 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 Elementary charge (e) and Milliampere-hour (mA·h):

Elementary charge References:

  • Fundamental electric charge carried by single electron or proton 1 e
  • Helium nucleus alpha particle total electric charge 2 e
  • Iron-56 atomic nucleus net positive electric charge 26 e

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

Tap any benchmark above to automatically calculate its exact equivalent in Milliampere-hour.

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

How to Convert Elementary charge to Milliampere-hour

Converting Elementary charge (e) to Milliampere-hour (mA·h) 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 is a broader physical scale than Elementary charge, converting from e to mA·h condenses the numerical figure. It takes 2.246943 × 10¹⁹ Elementary charge to equal a single Milliampere-hour (1 e = 4.450491 × 10⁻²⁰ mA·h). To convert any quantity, multiply by 4.450491 × 10⁻²⁰ (or divide by 2.246943 × 10¹⁹).

Direct Factor1 e = 4.450491 × 10⁻²⁰ mA·h
Inverse Ratio1 mA·h = 2.246943 × 10¹⁹ e
Conversion ScaleDirect Proportional Magnitude Compression
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 e = 1.602177 × 10⁻¹⁹ coulomb (C)
2. Target SI Bridge (ktarget):1 mA·h = 3.6 coulomb (C)
Step-by-step substitution for Elementary charge → Milliampere-hour:V(mA·h) = V(e) × ( 1.602177 × 10⁻¹⁹ / 3.6 ) = V(e) × 4.450491 × 10⁻²⁰
Mathematical FormulaValue in Milliampere-hour = Value in Elementary charge × 4.45049065 × 10⁻²⁰Direct computational formula applied for standard conversion.
Worked Example

To convert 50 Elementary charge (e) to Milliampere-hour (mA·h): multiply 50 by 4.450491 × 10⁻²⁰ to get 2.225245 × 10⁻¹⁸ mA·h. At an industrial engineering scale, 5000 e converts to 2.225245 × 10⁻¹⁶ mA·h.

Inverse check: 1 mA·h = 2.246943 × 10¹⁹ e.

Understanding Elementary charge and Milliampere-hour

Elementary charge

e
Standard Unit

An Elementary charge (e) is a recognized unit for electric charge.

Applications & Practical Context

In practical charge terms, a fundamental electric charge carried by single electron or proton equals 1 e, a helium nucleus alpha particle total electric charge equals 2 e, a iron-56 atomic nucleus net positive electric charge equals 26 e.

Physical Setup

An electric charge of 1 e corresponds to 1.602177 × 10⁻¹⁹ C (equivalent to 1.602177 × 10⁻¹⁹ ampere-seconds of charge transport).

Conversion to SI Unit: coulomb (C)
1 e = 1.602177 × 10⁻¹⁹ C

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

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 Milliampere-hour
Fundamental electric charge carried by single electron or proton1 e4.450491 × 10⁻²⁰ mA·h
Helium nucleus alpha particle total electric charge2 e8.900981 × 10⁻²⁰ mA·h
Iron-56 atomic nucleus net positive electric charge26 e1.157128 × 10⁻¹⁸ mA·h
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 e at Standard 1-Hour Battery C-Rate (3,600 s) = 4.4505 × 10⁻²³ A
Equals 4.4505 × 10⁻²⁰ mA • 4.4505 × 10⁻²⁶ kA • 4.45 × 10⁻¹⁷ μA
SI Current
4.4505 × 10⁻²³
A
Amperes
Electronics Scale
4.4505 × 10⁻²⁰
mA
Milliamperes
Industrial Arc / Fault
4.4505 × 10⁻²⁶
kA
Kiloamperes
Low-Power Sleep
4.45 × 10⁻¹⁷
μA
Microamperes
Semiconductor Leakage
4.45 × 10⁻¹¹
pA
Picoamperes
EMU Standard
4.4505 × 10⁻²⁴
Bi
Biot (Abampere)
  1. 1. Normalize Input to SI Base Unit (C):
    Q = 1 e × 1.60217663 × 10⁻¹⁹ = 1.60217663 × 10⁻¹⁹ 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 = (1.60217663 × 10⁻¹⁹ C) ÷ (3600 s) = 4.450491 × 10⁻²³ A
  4. 4. Convert to Standard Engineering Units:
    • A: 4.450491 × 10⁻²³ × 1 = 4.4505 × 10⁻²³ A (Amperes) • mA: 4.450491 × 10⁻²³ × 1000 = 4.4505 × 10⁻²⁰ mA (Milliamperes) • kA: 4.450491 × 10⁻²³ × 0.001 = 4.4505 × 10⁻²⁶ kA (Kiloamperes) • μA: 4.450491 × 10⁻²³ × 1000000 = 4.45 × 10⁻¹⁷ μA (Microamperes) • pA: 4.450491 × 10⁻²³ × 1 × 10¹² = 4.45 × 10⁻¹¹ pA (Picoamperes) • Bi: 4.450491 × 10⁻²³ × 0.1 = 4.4505 × 10⁻²⁴ 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 4.45049065 × 10⁻²⁰ milliampere-hours (mA·h) in 1 elementary charge (e). To calculate larger amounts manually, simply multiply your total number of elementary charges by the conversion multiplier of 4.45049065 × 10⁻²⁰.

The mathematical formula to convert elementary charges to milliampere-hours is: [value] * 4.45049065 × 10⁻²⁰ = milliampere-hours. 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 milliampere-hours back to elementary charges, you must divide your starting value by 4.45049065 × 10⁻²⁰. Our bidirectional tool automatically computes this inverse equation the moment you type into the milliampere-hour input field.

1 Milliampere-hour is larger than 1 Elementary charge. Specifically, 1 Elementary charge equals 4.45049065 × 10⁻²⁰ milliampere-hours, meaning 1 Milliampere-hour is 2.2469 × 10¹⁹ times larger than 1 Elementary charge (a difference of 19.35 orders of magnitude). Expressing measurements in elementary charges requires a larger numerical value to represent the equivalent physical magnitude.

A typical fundamental electric charge carried by single electron or proton measures 1 e, which corresponds to 4.4505 × 10⁻²⁰ Milliampere Hour (Milliampere-hour).