Coulomb to Ampere-Hour Converter

What is a Coulomb to Ampere-Hour Conversion?

A Coulomb to Ampere-Hour conversion is the process of transforming a measurement of electric charge from coulombs (C) to ampere-hours (Ah). This conversion is crucial in various electrical and engineering applications, particularly when dealing with battery capacity and electrical energy storage.

How to Calculate Coulombs to Ampere-Hours

To convert coulombs to ampere-hours, we divide the number of coulombs by the number of seconds in an hour (3600). This conversion is based on the relationship between charge, current, and time.

Conversion Formula

The formula for converting coulombs to ampere-hours is:

\[ Ah = \frac{C}{3600} \]

Where:

• \(Ah\) is the charge in ampere-hours
• \(C\) is the charge in coulombs
• 3600 is the number of seconds in an hour

Calculation Steps

1. Start with the charge value in coulombs
2. Divide this value by 3600
3. The result is the equivalent charge in ampere-hours

Example Calculation

Let's convert 7200 coulombs to ampere-hours:

\[ Ah = \frac{7200 \text{ C}}{3600} = 2 \text{ Ah} \]

Visual Representation

Here's a visual representation of the relative magnitudes of coulombs and electron charges:

This diagram illustrates that 1 coulomb is equal to approximately 6.242 × 10^18 electron charges. The blue areas show the relative sizes of these units, demonstrating the vast difference in scale between coulombs and individual electron charges.