Coulombs to Ampere-hours Converter

Enter charge in coulombs:

Conversions:

1 Coulomb = 2.7778⋅10^-4 Ampere-hours

1 Ampere-hour = 3600 Coulombs

Conversion Formula:

Q(Ah) = Q(C) / 3600

Example:

Convert 3 coulombs to ampere-hours:

Q(Ah) = 3C / 3600 = 8.333⋅10^-4Ah

Conversion Result:

3 coulombs is equal to 8.333⋅10^-4 ampere-hours.

Introduction

The Coulombs to Ampere-hours (Ah) Converter is an essential tool for converting between the SI unit of electric charge (Coulombs) and the practical battery capacity unit (Ampere-hours). This conversion is vital in:

• Battery technology

• Electrical engineering

• Energy storage systems

• Electric vehicle (EV) battery specifications

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Understanding the Units

1. Coulomb (C)

• The SI base unit of electric charge.

• Defined as the charge transported by a 1 Ampere (A) current in 1 second (s):

  $$1\text{ C}=1\text{ A}\times 1\text{ s}$$

• Used in physics and small-scale electrical calculations.

2. Ampere-hour (Ah)

• A practical unit of electric charge, commonly used for batteries.

• Represents 1 Ampere of current flowing for 1 hour:

  $$1\text{ Ah}=1\text{ A}\times 3600\text{ s}=3600\text{ C}$$

• Used in:

  • Battery capacity ratings

  • EV battery packs (e.g., 50 kWh battery ≈ 100 Ah at 500V)

  • Solar power systems

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Conversion Formulas

Coulombs to Ampere-hours

$$\text{Ampere-hours (Ah)}=\frac{\text{Coulombs (C)}}{3600}$$

Ampere-hours to Coulombs

$$\text{Coulombs (C)}=\text{Ampere-hours (Ah)}\times 3600$$

Example Conversions

Coulombs (C)	Ampere-hours (Ah)
3600 C	1 Ah
1800 C	0.5 Ah
7200 C	2 Ah
1 C	0.0002778 Ah
10,000 C	2.7778 Ah

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How to Use the Converter

1. Manual Calculation

Divide Coulombs by 3600 to get Ah:

$$\text{Example: }5400\text{ C}=\frac{5400}{3600}=1.5\text{ Ah}$$