Electron Charge to Coulombs Converter

Enter charge in electron charge:

Conversion:

1 Coulomb (C) = 6.24150975⋅10¹⁸ Electron charge (e)

1 Electron charge (e) = 1.60217646⋅10^-19 Coulombs (C)

Conversion Formula:

Q(C) = Q(e) × 1.60217646⋅10^-19

Example:

Convert 3 electron charge to coulombs:

Q(C) = 3e × 1.60217646⋅10^-19 = 4.8065⋅10^-19C

Conversion Result:

3 electron charge is equal to 4.8065⋅10^-19 coulombs.

Overview

An Electron Charge to Coulombs Converter is a tool (either manual or digital) that converts the elementary charge of an electron into the standard SI unit of electric charge, the coulomb (C). This conversion is essential in fields like quantum physics, electronics, electrochemistry, and particle physics, where charge measurements at the atomic level are required.

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Basic Concepts

1. Elementary Charge (e)

• The elementary charge (e) is the electric charge carried by a single proton or the negative of a single electron.

• Its value is approximately:

  $$e=1.602176634\times {10}^{-19}\text{ C (exact, as per SI definition)}$$

2. Coulomb (C)

• The coulomb (C) is the SI unit of electric charge.

• It is defined as the charge transported by a constant current of 1 ampere (A) in 1 second (s).

• In terms of electron charges:

  $$1\text{ C}=\frac{1}{e}\approx 6.241509074\times {10}^{18}\text{ electrons}$$

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Conversion Formulas

1. Electron Charge to Coulombs

To convert a given number of electron charges (N × e) to coulombs (C):

$$\text{Charge in Coulombs (C)}=N\times e=N\times 1.602176634\times {10}^{-19}\text{ C}$$

Example:

• 10 electrons to coulombs:

  $$10\times 1.602176634\times {10}^{-19}=1.602176634\times {10}^{-18}\text{ C}$$

2. Coulombs to Electron Charge

To convert coulombs (C) to the number of electron charges (N):

$$N=\frac{\text{Charge in Coulombs (C)}}{e}=\frac{C}{1.602176634\times {10}^{-19}}$$

Example:

• 1 C to electron charges:

  $$\frac{1}{1.602176634\times {10}^{-19}}\approx 6.241509074\times {10}^{18}\text{ electrons}$$