Elementary Charge to Ampere-Hour Converter
Convert Elementary Charges to Ampere-Hours
Quick Conversions
How to Convert Elementary Charges to Ampere-Hours
To convert from elementary charges (e) to ampere-hours (Ah), you divide the number of elementary charges by 2.246945308 × 10²². For more information about elementary charges as a unit of measurement, visit our elementary charges page.
Formula
Ampere-Hours = Elementary Charges / 2.246945308 × 10²²
or
Ah = e / 2.246945308e22
Examples
- 1 e = 1 / 2.246945308 × 10²² = 4.4505 × 10⁻²³ Ah
- 10 e = 10 / 2.246945308 × 10²² = 4.4505 × 10⁻²² Ah
- 100 e = 100 / 2.246945308 × 10²² = 4.4505 × 10⁻²¹ Ah
- 2.246945308 × 10²² e = 2.246945308 × 10²² / 2.246945308 × 10²² = 1 Ah
When to Convert Elementary Charges to Ampere-Hours
This conversion is useful in specialized fields like particle physics and quantum chemistry, where charge is often expressed in terms of elementary charges, and needs to be related to practical battery capacities.
Battery Research
Researchers in battery technology might use this conversion to understand the theoretical charge capacity of materials in terms of fundamental elementary units.
Quantum Computing
In quantum computing, understanding the charge of individual electrons and relating it to larger charge units can be relevant for certain calculations.
Common Elementary Charges to Ampere-Hours Conversions
Here is a table of common conversions for quick reference:
| Elementary Charges (e) | Ampere-Hours (Ah) | Elementary Charges (e) | Ampere-Hours (Ah) |
|---|---|---|---|
| 1 | 4.4505e-23 | 1,000,000 | 4.4505e-17 |
| 10 | 4.4505e-22 | 10,000,000 | 4.4505e-16 |
| 100 | 4.4505e-21 | 100,000,000 | 4.4505e-15 |
| 1,000 | 4.4505e-20 | 1,000,000,000 | 4.4505e-14 |
| 10,000 | 4.4505e-19 | 10,000,000,000 | 4.4505e-13 |
| 100,000 | 4.4505e-18 | 100,000,000,000 | 4.4505e-12 |
| 2.246945308e22 | 1 | 1,000,000,000,000 | 4.4505e-11 |
Frequently Asked Questions
What is an elementary charge (e)?
The elementary charge is the electric charge carried by a single proton or, equivalently, the magnitude of the electric charge of a single electron. It is a fundamental physical constant, approximately 1.602176634 × 10⁻¹⁹ coulombs.
What is an ampere-hour (Ah)?
An ampere-hour is a unit of electric charge, commonly used to express the capacity of batteries. One ampere-hour is equal to 3,600 coulombs.
How do I convert ampere-hours to elementary charges?
To convert from ampere-hours to elementary charges, you multiply the charge in ampere-hours by 2.246945308 × 10²². For example, 1 Ah is equal to 1 * 2.246945308 × 10²² = 2.246945308 × 10²² e.