Question

Find the number of electrons in 1 coulomb charge.

Answer 1

Hint: We know that$1$ coulomb is the amount of charge in an electric current of $1$ ampere per second. So, we will apply the formula using the milkman’s equation to find out the number of electrons constituting $1$ coulomb of charge. The formula used for calculating the number of electrons will be $q = ne$ .

Complete Step by step answer: We know that charge present on one electron $ = 1.6 \times {10^{19}}C$
So now we need to calculate the number of electrons constituting $1C$ charge
According to milkman’s equation, the formula used is
$q = ne$ $ - (i)$
Where, $q = $charge
$n = $Total number of electrons
$e = $charge present on the electrons
So, the formula to calculate the number of electrons will be: -
$n = \dfrac{q}{e}$ $ - (ii)$
Now putting the values of: -
$q = 1C$
$e = 1.6 \times {10^{ - 19}}C$
In the equation $(ii)$ we get: -
 $n = \dfrac{q}{e}$
 $\Rightarrow n = \dfrac{{1C}}{{1.6 \times {{10}^{ - 19}}C}}$
 $\Rightarrow n = 6.25 \times {10^{18}}$ electrons $ \cong $ $6 \times {10^{18}}$ electrons
So, one coulomb of charge will contain $6 \times {10^{18}}$ electrons

Additional information Electric charge is the amount of energy or electrons that pass from one body to another by different modes like conduction, induction etc. There are two types of electric charges present which are positive charge and negative charge. Charge is denoted by the symbol $'q'$There are two very basic laws of nature that exist, they are that like charges repel each other while unlike charges attract each other.

Note: Coulomb is the standard unit for the electric charge. $1$ coulomb is the amount of charge present in an electric current of one ampere per second. The elementary charge $'e'$ is the charge carried by a single proton. It is a fundamental physical constant. So, charge of one electron constituting one coulomb of charge is always taken as $1.6 \times {10^{ - 19}}C$.