Coulombs to Amp-Hours Converter Formula

Understand the math behind the coulombs to amp-hours converter. Each variable explained with a worked example.

Use the Coulombs to Amp-Hours Converter

Formulas Used

Ampere-Hours

amphours = coulombs / 3600

Milliampere-Hours

milliamphours = coulombs / 3.6

Variables

VariableDescriptionDefault
coulombsCharge (Coulombs)(C)3600

How It Works

How to Convert Coulombs to Ampere-Hours

Formula

Ah = Coulombs / 3,600

One Ampere-Hour is the charge transferred by a steady current of 1 Ampere flowing for 1 hour. Since 1 hour = 3,600 seconds and 1 Coulomb = 1 Ampere-second, dividing Coulombs by 3,600 yields Ampere-Hours.

Why This Matters

Battery capacity is commonly rated in Ah or mAh. Understanding the conversion helps when comparing battery specifications or calculating charge and discharge times.

Worked Example

Convert 3,600 Coulombs to Ampere-Hours.

coulombs = 3600
  1. 01One Ampere-Hour equals 3,600 Coulombs (1 A flowing for 3,600 seconds)
  2. 02Ah = 3,600 / 3,600 = 1 Ah
  3. 03mAh = 3,600 / 3.6 = 1,000 mAh

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