How many electrons are there in one coulomb?

One coulomb is defined as the quantity of electric charge that is carried by a current of one ampere flowing for one second. To determine how many electrons are contained in a coulomb, you can use the fundamental charge of a single electron, which is approximately ( 1.6 \times 10^{-19} ) coulombs.

To find the number of electrons in one coulomb, you can divide the total charge (1 coulomb) by the charge of a single electron:

[

\text{Number of electrons} = \frac{1 \text{ coulomb}}{1.6 \times 10^{-19} \text{ coulombs/electron}} \approx 6.25 \times 10^{18} \text{ electrons}

]

This calculation shows that there are about ( 6.25 \times 10^{18} ) electrons in one coulomb, making it the correct answer. This fundamental relationship underlies many concepts in electronics and electricity, such as the flow of charge in circuits and the behavior of electric currents. Understanding the number of electrons in a coulomb is essential for grasping more complex topics in electrical engineering and physics.