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Ampere-Hour to Elementary Charge Converter

Convert Ampere-Hours to Elementary Charges

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How to Convert Ampere-Hours to Elementary Charges

To convert from ampere-hours (Ah) to elementary charges (e), you multiply the charge in ampere-hours by 2.246945308 × 10²². This conversion is derived from the fact that 1 Ah = 3600 C, and 1 C = 1 / (1.602176634 × 10⁻¹⁹) elementary charges. For more information about ampere-hours as a unit of measurement, visit our amperes-hour page.

Formula

Elementary Charges = Ampere-Hours × 2.246945308 × 10²²

or

e = Ah × 2.246945308e22

Examples

  • 1 Ah = 1 × 2.246945308 × 10²² = 2.246945308 × 10²² e
  • 0.000000000000000000000044505 Ah = 0.000000000000000000000044505 × 2.246945308 × 10²² = 1 e
  • 0.0000000000000000000001 Ah = 0.0000000000000000000001 × 2.246945308 × 10²² = 2.246945308 e
  • 0.000000000000000000001 Ah = 0.000000000000000000001 × 2.246945308 × 10²² = 22.46945308 e

When to Convert Ampere-Hours to Elementary Charges

This conversion is useful in specialized fields like particle physics and quantum chemistry, where charge is often expressed in terms of elementary charges.

Particle Physics

In particle physics, understanding charge in terms of elementary charges is crucial for describing interactions between fundamental particles.

Quantum Chemistry

Quantum chemists use elementary charges to describe the charge distribution within atoms and molecules.

Common Ampere-Hours to Elementary Charges Conversions

Here is a table of common conversions for quick reference:

Ampere-Hours (Ah) Elementary Charges (e) Ampere-Hours (Ah) Elementary Charges (e)
0.00000000000000000000004450510.00000000000000000000122.46945308
0.0000000000000000000000890120.00000000000000000000244.93890616
0.00000000000000000000022252550.000000000000000000005112.3472654
0.00000000000000000000044505100.00000000000000000001224.6945308
0.0000000000000000000008901200.00000000000000000002449.3890616
0.00000000000000000000222525500.000000000000000000051,123.472654
12.246945308e220.00000000000000000012,246.945308

Frequently Asked Questions

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.

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.

How do I convert elementary charges to ampere-hours?

To convert from elementary charges to ampere-hours, you divide the number of elementary charges by 2.246945308 × 10²². For example, 1 e is equal to 1 / 2.246945308 × 10²² = 0.000000000000000000000044505 Ah.