How to Calculate The Number of Electrons Constituting One Coulomb of Charge

To calculate the number of electrons constituting one coulomb of charge, you need to understand the charge of a single electron and use this to find the total number of electrons that make up one coulomb.

Steps to Calculate the Number of Electrons in One Coulomb:

1. Charge of a Single Electron:

   • The charge of a single electron is approximately $1.602 \times 10^{-19}$ coulombs.

2. Number of Electrons per Coulomb:

   • To find the number of electrons that constitute one coulomb of charge, you divide one coulomb by the charge of a single electron.

Calculation:

1. Charge of One Electron:

   $$e = 1.602 \times 10^{-19} \, \text{C}$$

2. Number of Electrons (N):

   $$N = \frac{1 \, \text{C}}{1.602 \times 10^{-19} \, \text{C/electron}}$$

   Performing the division:

   $$N = \frac{1}{1.602 \times 10^{-19}}$$

3. Calculate N:

   $$N \approx 6.242 \times 10^{18} \, \text{electrons}$$

Conclusion:

There are approximately $6.242 \times 10^{18}$ electrons in one coulomb of charge.

This means that one coulomb of charge is equivalent to about 6.242 quintillion electrons. This large number highlights the incredibly small charge carried by a single electron.

Calculate Electrons in One Coulomb

Charge (in Coulombs):