Question

Calculate the charge of $6.24\text{ x 1}{{\text{0}}^{18}}$ electrons (in coulomb).

Answer 1

Hint: To calculate the total charge, we need to first find the charge present on 1 electron. Once we do that, we have to multiply the charge present on an electron with the total number of electrons. The formula to calculate total charge is given below:
Q = n . e
Where,
Q is the total charge,
n is the number of electrons,
e is the charge on a single electron.

Complete step-by-step answer:
Electric charge is the physical property of matter that causes it to experience a force under the influence of an electromagnetic field. There are two types of charge namely, positive and negative called protons and electrons respectively.
The SI unit for electric charge is coulombs (C). Another unit of electric charge is Ampere-second (A-s).
Electric charge is always conserved. This means the sum of protons and electrons i.e. the net charge of an isolated system remains the same.
The direction opposite to the flow of electrons is taken as the flow of current. This is because current is positive and the electron carries negative charge.
The charge present on 1 electron is $\text{1}\text{.6 x 1}{{\text{0}}^{-19}}$C.
So, the total charge on $6.24\text{ x 1}{{\text{0}}^{18}}$ electrons are ,
Q = n . e
Q = $6.24\text{ x 1}{{\text{0}}^{18}}\text{ x 1}\text{.6 x 1}{{\text{0}}^{-19}}$C
Q = $9.984\text{ x 1}{{\text{0}}^{-1}}$ C

Therefore, the charge on $6.24\text{ x 1}{{\text{0}}^{18}}$ electrons is $9.984\text{ x 1}{{\text{0}}^{-1}}$ C.

Note: Stationary electric charges produce electric fields. On the other hand, moving charges produce magnetic fields. The interaction of electric charges with an electromagnetic force is the source of Lorentz or electromagnetic force which is one of the four fundamental forces in nature.