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Amp-Hour to Milliamp-Hour Converter (Ah to mAh & Battery Energy

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### Amp-Hours (Ah), Milliamp-Hours (mAh) & Stored Battery Energy (Wh) Battery capacity measures the total amount of electric charge a cell can deliver over time: - **1. Universal Ah to mAh.

Reviewed by Sheraz Share · BSCS
Last updated:
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⚙ Input Values

capacity
V

📊 Results

Capacity in Milliamp-Hours (mAh)
5,000
mAh
Capacity in Amp-Hours (Ah)
5
Ah
Stored Energy in Watt-Hours (Wh)
18.5
Wh
Total Electric Charge (Coulombs / C)
18,000
Coulombs (C)
Stored Energy in Kilojoules (kJ)
66.6
kJ
✦ Electrochemical Storage & Runtime Summary
Battery Electrochemical Profile (Smartphone Li-Po Cell): Charge Capacity = 5,000 mAh ≡ 5.000 Ah (18,000 Coulombs). Stored Chemical Energy: 18.50 Watt-Hours (Wh) ≡ 66.6 kJ. Estimated Operating Runtime: 5.00 Hours at continuous 1.0 Amp draw (10.00 Hours at 500 mA). Conversion Metric: 1 Amp-Hour (Ah) equals exactly 1,000 Milliamp-Hours (mAh). To calculate total energy in Watt-Hours (Wh), multiply Amp-Hours by the nominal cell voltage (Wh = Ah × V).
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📐 Formula

Formula Reference: Amp-Hour to Milliamp-Hour Converter (Ah to mAh & Battery Energy)
Input variables:
batteryCapacityMagnitudeInput — Battery Capacity Magnitude
sourceCapacityUnitSelect — From Capacity Unit
nominalVoltageVoltsInput — Battery Nominal Voltage (Volts / V)
Computed outputs:
capacityMilliampHours — Capacity in Milliamp-Hours (mAh)
capacityAmpHours — Capacity in Amp-Hours (Ah)
storedEnergyWattHours — Stored Energy in Watt-Hours (Wh)
totalElectricChargeCoulombs — Total Electric Charge (Coulombs / C)
storedEnergyKilojoules — Stored Energy in Kilojoules (kJ)
Mathematical relationships extracted from calculation logic:
mah = ah * 1000.0
coulombs = ah * 3600.0
wh = ah * volt
kj = (wh * 3600.0) / 1000.0
hoursAt500mA = ah / 0.5
Reference constants:
ah = 5.0
Standard: NIST Handbook 44 and BIPM SI unit definitions

💡 Practical Example

✅

A traveler checking whether their 20,000 mAh 3.7V laptop power bank is allowed on commercial passenger aircraft calculates energy as / 1,000 = 74.0 Wh, well below the TSA 100 Wh airline limit.

📖 About Amp-Hour to Milliamp-Hour Converter (Ah to mAh & Battery Energy

Amp-Hours (Ah), Milliamp-Hours (mAh) & Stored Battery Energy (Wh)

Battery capacity measures the total amount of electric charge a cell can deliver over time:

  • **
  • Universal Ah to mAh Conversion Formulas**:

Capacity (mAh) = Capacity (Ah) × 1,000

Capacity (Ah) = Capacity (mAh)1,000

Q_Coulombs = Capacity (Ah) × 3,600 seconds

  • **
  • Stored Energy Formulas (Watt-Hours & Joules)**:

E_Wh = Capacity (Ah) × V_nominal = Capacity (mAh) × V_nominal1,000

E_Joules = E_Wh × 3,600 = Q_Coulombs × V_nominal

  • **
  • Standard Nominal Cell Voltages by Chemistry**:
  • Lithium-Ion / Li-Po: 3.7V (range: 3.0V to 4.2V)
  • Lithium Iron Phosphate (LiFePO4): 3.2V (range: 2.5V to 3.65V)
  • NiMH / NiCad Rechargeable: 1.2V
  • Alkaline Primary: 1.5V
  • Lead-Acid Automotive (12V SLI): 12.0V to 12.6V (6 × 2.0V cells)

How to Use This Calculator

Enter your Battery Capacity Magnitude (e.g. 5.0 in capacity), From Capacity Unit — choose from Amp-Hours (Ah = 1,000 mAh), Milliamp-Hours (mAh = 10⁻³ Ah), Kiloamp-Hours (kAh = 1,000 Ah), Battery Nominal Voltage (Volts / V) (e.g. 3.7 for Li-ion, 12.0 for Lead-Acid in V), and Battery Chemistry & Device Benchmark — choose from Custom Capacity & Voltage, AA NiMH Rechargeable (2.5 Ah = 2,500 mAh @ 1.2V) → 3.0 Wh, Smartphone Li-Po Battery (5.0 Ah = 5,000 mAh @ 3.7V) → 18.5 Wh. Results update instantly as you type — adjust any value to compare scenarios.

The Formula

Formula Reference: Amp-Hour to Milliamp-Hour Converter (Ah to mAh & Battery Energy)

Input variables:

batteryCapacityMagnitudeInput — Battery Capacity Magnitude

sourceCapacityUnitSelect — From Capacity Unit

nominalVoltageVoltsInput — Battery Nominal Voltage (Volts / V)

Computed outputs:

capacityMilliampHours — Capacity in Milliamp-Hours (mAh)

capacityAmpHours — Capacity in Amp-Hours (Ah)

storedEnergyWattHours — Stored Energy in Watt-Hours (Wh)

totalElectricChargeCoulombs — Total Electric Charge (Coulombs / C)

storedEnergyKilojoules — Stored Energy in Kilojoules (kJ)

Mathematical relationships extracted from calculation logic:

mah = ah * 1000.0

coulombs = ah * 3600.0

wh = ah * volt

kj = (wh * 3600.0) / 1000.0

hoursAt500mA = ah / 0.5

Reference constants:

ah = 5.0

Standard: NIST Handbook 44 and BIPM SI unit definitions

Worked Example

A traveler checking whether their 20,000 mAh 3.7V laptop power bank is allowed on commercial passenger aircraft calculates energy as / 1,000 = 74.0 Wh, well below the TSA 100 Wh airline limit.

Understanding Your Result

Unit conversion precision: round to the same number of significant figures as your original measurement. Converting 6 feet to meters gives 1.8288 m — but if your measurement was approximate (±1 inch), expressing more than 2 decimal places is false precision. For international trade and technical specifications, SI units (meters, kilograms, liters) are the standard. US customary units (feet, pounds, gallons) differ from Imperial UK units: 1 US gallon = 3.785 L vs. 1 UK gallon = 4.546 L.

💡 Methodological Standards & Calculation Accuracy

  • All calculations are performed client-side in your browser using verified, standards-compliant mathematical algorithms.
  • Results are provided for educational and informational analysis; verify critical applications with certified domain specialists.
  • Ensure input values are entered in consistent units matching the selector options to guarantee accurate outputs.
  • Periodic recalibration is recommended whenever baseline assumptions, operating parameters, or external conditions change.

Results are for informational and educational purposes only. Always verify critical decisions with a qualified professional.

❓ Frequently Asked Questions

How do you convert Ah to mAh?

Multiply the value in Amp-Hours by 1,000: mAh = Ah × 1,000. For example, a 5.0 Ah battery equals 5.0 × 1,000 = 5,000 mAh.

How do you calculate Watt-Hours (Wh) from mAh?

Multiply mAh by the battery's nominal voltage (V) and divide by 1,000: Wh = / 1,000. For a 20,000 mAh power bank at 3.7V: Wh = / 1,000 = 74 Wh.

What is the TSA / FAA battery limit for airplane carry-ons?

Airlines allow lithium-ion power banks and batteries up to 100 Watt-Hours (Wh) in carry-on luggage without prior airline approval (equivalent to approx. 27,000 mAh at 3.7V).

How many Coulombs are in 1 Amp-Hour?

There are exactly 3,600 Coulombs in 1 Amp-Hour.

How long will a 5,000 mAh battery run a device drawing 500 mA?

Divide the battery capacity by the current draw: Runtime = 5,000 mAh / 500 mA = 10 Hours (assuming ideal discharge conditions).

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