Home / charge converter / coulomb to ampere hour

Coulomb to Ampere-hour Converter

Result

Enter a value in coulombs

Share this page:
Categories
Table of Contents

Electrical Charge Units: Coulombs and Ampere-Hours

When working with electrical systems, understanding and converting between different units of electrical charge is crucial. Two commonly used units are coulombs (C) and ampere-hours (Ah). Our Coulomb to Ampere-Hour Converter simplifies the process of converting between these units, making it easier for engineers, students, and hobbyists to work with electrical charge measurements.

What is a Coulomb?

A coulomb is the standard unit of electrical charge in the International System of Units (SI). It is defined as the amount of charge transferred by a current of one ampere in one second. The coulomb is named after the French physicist Charles-Augustin de Coulomb, who made significant contributions to the field of electrostatics.

What is an Ampere-Hour?

An ampere-hour is a unit of electrical charge commonly used to express the capacity of batteries and other energy storage devices. It represents the amount of charge transferred by a steady current of one ampere flowing for one hour. While not an SI unit, ampere-hours are widely used in practical applications due to their convenience in describing battery capacity.

Converting Coulombs to Ampere-Hours

To convert coulombs to ampere-hours, you need to understand the relationship between these units. Here's the conversion formula:

1 Ah = 3600 C

This means that one ampere-hour is equal to 3600 coulombs. To convert from coulombs to ampere-hours, you can use the following equation:

Ampere-hours (Ah) = Coulombs (C) ÷ 3600

Conversion Table: Coulombs to Ampere-Hours

Here's a helpful conversion table for common values:

Coulombs (C)Ampere-Hours (Ah)
18000.5
36001
72002
108003
180005
3600010

Practical Examples and Calculations

Let's explore some practical examples of using the Coulomb to Ampere-Hour Converter:

Example 1: Battery Capacity

Suppose you have a battery rated at 5400 coulombs. To express this in ampere-hours:

Ah = 5400 C ÷ 3600
Ah = 1.5

The battery capacity is 1.5 ampere-hours.

Example 2: Electric Vehicle Battery

An electric vehicle battery has a capacity of 100 Ah. To calculate its charge in coulombs:

C = 100 Ah × 3600
C = 360,000

The battery's charge is 360,000 coulombs.

Example 3: Charging a Smartphone

A smartphone battery has a capacity of 3000 mAh (milliampere-hours). To convert this to coulombs:

First, convert mAh to Ah:
3000 mAh = 3 Ah

Then, convert Ah to C:
C = 3 Ah × 3600
C = 10,800

The smartphone battery can store 10,800 coulombs of charge.

Applications of Coulomb to Ampere-Hour Conversions

Understanding and converting between coulombs and ampere-hours is essential in various fields:

  1. Battery Design: Engineers use these conversions to design and specify battery capacities for different applications.

  2. Renewable Energy: In solar and wind power systems, energy storage calculations often involve coulomb to ampere-hour conversions.

  3. Electric Vehicles: EV manufacturers and users need to understand battery capacities in both units for range and charging calculations.

  4. Consumer Electronics: Device manufacturers use these conversions to specify battery life and charging times.

  5. Power Management: In industrial settings, coulomb to ampere-hour conversions help in planning power distribution and backup systems.

By mastering the use of our Coulomb to Ampere-Hour Converter, you'll be better equipped to work with electrical charge units in various practical applications. Whether you're a student, professional, or enthusiast, this tool simplifies your calculations and enhances your understanding of electrical systems.