# Calculate the number of electrons constituting one coulomb of charge.

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Updated on: September 25th, 2023

The number of electrons constituting one coulomb of charge is 6 x 1018 electrons. The number of electrons and protons in electrically neutral atoms and molecules must therefore be equal. The size and mass of an electron are significantly less than those of a proton (the mass of an electron is around 1/1837 that of a proton), despite the fact that the magnitude of the charges borne by protons and electrons are the same.

Subatomic particles known as electrons have an elementary charge of magnitude -1. A proton’s charge and an electron’s charge are of similar magnitude (but have an opposite sign).

## The Number of Electrons constituting one Coulomb of Charge

The number of electrons constituting one coulomb of charge is 6 x 1018 electrons. Atomic orbitals are basically zones surrounding the nucleus where there is the maximum chance of finding a particular electron and are where electrons are distributed around the nuclei of atoms. Due to their small size and mass, electrons provide more interesting study subjects for quantum mechanics than for classical mechanics.

This is due to the distinct behaviour of matter at the quantum level. Heisenberg’s uncertainty principle, for instance, states that an electron’s position and velocity are subject to significantly greater uncertainty than those of a proton or a neutron. Therefore, the number of electrons in one coulomb of charge is 6 x 1018 electrons

Step 1: The information provided – To determine the number of electrons contained in a coulomb of charge,

• e = 1.6 x 10-19 C
• q = 1C

Step 2: The method used to solve – The charge of an electron is 1.6 x 10-19 Coulomb. A coulomb of charge is made up of one electron.

q = ne

where,

• q is the charge
• e is the number of electrons

Step 3: Determine the number of electrons

• n = q/e
• n = 1/(1.6 x 10-19)
• n = 6.25 x 1018 electrons
• ≅ 6 x 1018 electrons

Summary:

## Calculate the number of electrons constituting one coulomb of charge.

Approximately 6 x 1018 electrons make up one coulomb of charge. Coulomb is the unit of charge in SI and is defined in terms of second and ampere. It is named after Charles-Augustin de Coulomb. Due to the absence of components or substructure, electrons, which are part of the lepton particle family’s first generation, are typically regarded to be elementary particles.

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