Ampere-hours (Ah) to Coulombs (C) Converter

What is an Ampere-hour to Coulomb Conversion?

An ampere-hour to coulomb conversion is the process of transforming a measurement of electric charge from ampere-hours (Ah) to the standard unit of coulombs (C). This conversion is essential in various fields of electrical engineering and physics, particularly when dealing with battery capacities, electrical energy storage, and charge transfer in electrical circuits.

How to Calculate Ampere-hours to Coulombs

To convert ampere-hours to coulombs, we multiply the number of ampere-hours by 3,600. This is because one ampere-hour is equal to 3,600 coulombs, as it represents the amount of charge transferred by a steady current of one ampere flowing for one hour.

Conversion Formula

The formula for converting ampere-hours to coulombs is:

\[ Q_C = Q_{Ah} \times 3600 \]

Where:

• \(Q_C\) is the charge in coulombs
• \(Q_{Ah}\) is the charge in ampere-hours
• \(3600\) is the conversion factor from ampere-hours to coulombs

Calculation Steps

1. Start with the charge value in ampere-hours
2. Multiply this value by 3,600
3. The result is the equivalent charge in coulombs

Example Calculation

Let's convert 5 ampere-hours to coulombs:

\[ Q_C = 5 \text{ Ah} \times 3600 = 18,000 \text{ C} \]

Visual Representation

Here's a visual representation of the relative magnitudes of ampere-hours and coulombs:

This diagram illustrates the relationship between an ampere-hour and coulombs. The top blue bar represents one ampere-hour, while the full blue bar at the bottom represents 3,600 coulombs, which is equivalent to one ampere-hour. This visual emphasizes that one ampere-hour is a significant amount of charge when expressed in coulombs.