Question

What is the total charge, $75Kg$ of electrons?

Answer 1

Hint: So to answer this question, we should know the mass of the electron and the charge of the electron. And through this, we will first calculate the total mass and then the total charge. Which will be calculated by using the formula of the product of total mass and the charge of an electron.
Formula used:
Total charge,
$Q = \dfrac{{\left( {Mq} \right)}}{m}$
Here,
$Q$ , will be the total charge
$M$ , will be the total mass
$q$ , will be the charge of an electron and
$m$ , will be the mass of an electron.

Complete step by step solution:
As we know,
Mass of electron, \[m = 9.11 \times {10^{ - 31}}kg\]
Charge of an electron, $q = 1.6 \times {10^{ - 19}}c$
Total mass, $M = 75Kg$
So now we will calculate the total mass,
We get
$ \Rightarrow \dfrac{{75}}{{9.1 \times {{10}^{ - 31}}}}$
And on solving the above line, we will get
$ \Rightarrow 8.23 \times {10^{31}}$
Now, we will calculate the total charge, so by using the formula
$Q = \dfrac{{\left( {Mq} \right)}}{m}$
We get,
$ \Rightarrow 8.23 \times {10^{31}} \times {\text{ charge of an electron}}$
On putting the values of the charge of an electron, we get
$ \Rightarrow 8.23 \times {10^{31}} \times {\text{ 1}}{\text{.6}} \times {\text{1}}{{\text{0}}^{ - 19}}$
And on multiplying and solving the above equation, we get
$ \Rightarrow Q = 1.32 \times {10^{13}}c$

Therefore, $1.32 \times {10^{13}}c$ will be the total charge.

Additional information: In ordinary matter, negative charge is carried by electrons, and positive charge is carried by the protons in the nuclei of atoms. If there are more electrons than protons in a piece of matter, it will have a negative charge, if there are fewer it will have a positive charge, and if there are equal numbers it will be neutral.

Note: A net electric charge is a measure of how positive or negative an atom is, as opposed to an atom that has no charge. Electric charge is a monitored property; the net charge of a segregated framework, the measure of positive charge less the measure of a negative charge, can't change. Electric charge is carried by subatomic particles.