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Electric Charge, Current & Potential Converter

Convert between electric charge (Coulombs, Ampere-hours Ah, mAh, elementary charges e, statcoulomb), current (A, mA, μA), and electrical potential (Volts, kV, MV, statvolts).

Electrodynamics & Nuclear Physics Engine

8 Units Available

Sci Notation

Decimals:

INPUT PROPERTY:NM

TARGET CONVERSION:

550,000

Reference Presets:

Physical Derivation & Planck Equation:

1. Base SI unit conversion: 550 C × 1 = 550

2. Target unit ratio: 1 mC = 0.001 SI base

3. Converted result: 550,000 mC

Complete Conversion MatrixClick copy on any row

Quantity / Unit	Symbol	Converted Value
Coulomb	C	550
Millicoulomb	mC	550,000
Microcoulomb	μC	550,000,000
Nanocoulomb	nC	5.5000e+11
Ampere-hour	Ah	0.1528
Milliampere-hour	mAh	152.7778
Elementary Charge (e)	e	3.4328e+21
Statcoulomb (esu / Fr)	statC	1.6489e+12

What is Electric Charge and Potential?

Electric charge is the physical property of matter that causes it to experience a force in an electromagnetic field ($Q = I \cdot t$). The SI unit is the Coulomb ($1\,\text{C} = 1\,\text{A}\cdot\text{s}$), with one elementary charge $e = 1.602176634 \times 10^{-19}\,\text{C}$.

Battery storage capacity is universally denoted in Ampere-hours ($1\,\text{Ah} = 3,600\,\text{C}$) or milliampere-hours (mAh), while electrical potential difference is measured in Volts ($1\,\text{V} = 1\,\text{J/C}$).

Formula & Step-by-Step Calculation

1\,\text{Ah} = 3,600\,\text{C}, \quad 1\,\text{C} \approx 6.241509 \times 10^{18}\,e, \quad 1\,\text{statV} = 299.792458\,\text{V}

Conversion factors between macroscopic charge, battery storage, and electrostatic cgs units.

Worked Step-by-Step Examples

Example 1

Convert a 5,000 mAh smartphone battery capacity to Coulombs and elementary charges.

Solution: 5,000 mAh = 18,000 C ≈ 1.123 × 10²³ electrons

• Convert mAh to Ah: 5,000 mAh = 5.0 Ah.

• Multiply by 3,600: 5.0 × 3,600 = 18,000 C.

• Divide by elementary charge e: 18,000 / (1.6021766 × 10⁻¹⁹) ≈ 1.123 × 10²³ e.

Common Real-World & Academic Use Cases

✓ Lithium-ion battery capacity sizing (mAh, Ah, Coulombs)
✓ Electrochemistry Faraday electrolysis law calculations ($Q = n F$)
✓ Electrostatic discharge (ESD) and high-voltage van de Graaff potential analysis in kV and statvolts
✓ Semiconductor gate charge and electron beam charge quantification

How to Use the Electric Charge, Current & Potential Converter

Select Domain

Toggle between Charge (C, Ah, e), Current (A, mA), or Potential (V, kV).

Input Number

Type the numerical magnitude.

Read Conversions

View instant conversions with scientific notation toggle.

Frequently Asked Questions

Q: How many Coulombs are in 1 Ampere-hour?

Since 1 Ampere is 1 Coulomb per second, 1 Ampere-hour equals 1 A × 3,600 seconds = 3,600 Coulombs.

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