Calculate the number of electrons constituting one coulomb of charge

To calculate the number of electrons constituting one coulomb of charge, we also should know about electrons.

Electrons are the subatomic particles that orbit the nucleus of an atom. The electron is negative in charge and also smaller than the nucleus. It has 1.602 × 10−19 coulomb and the mass is 9.109 × 10^{−31} kilogram.

Electron is the lightest subatomic particle and it is the basic unit of electric charge

Electron is measured in coulomb so we also need to know about coulomb.

Coulomb is the SI unit of electric charge which is denoted by “C”. If 1 Ampere current flow for 1 second then it will be 1 coulomb.

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1 coulomb = 6.241 x 1018 protons

1 proton = 1.6⨯10^{-19}C

After getting an idea of electrons & coulomb, now we will Calculate the number of electrons constituting one coulomb of charge

We know, charge of one electron is negative which is -1.6⨯10^{-19 }coulomb.

E = -1.6⨯10^{-19}C

Total charge required = 1C (Coulomb)

∴ q = 1C

q = ne (q = charge & e = number of electrons)

we can also write

n=q/e

So, n = 1/(1.6 × 10^{-19})

n = 6.25 × 10^{18} electrons ≅ 6 × 10^{18} electrons

Therefore one coulomb charge contains 6 × 10^{18} electrons.

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