To determine the number of electrons in a body given its total charge, follow these steps:
1. Identify the Total Charge:
The total charge of the body is given as [tex]\( 32 \times 10^{-18} \, \text{C} \)[/tex] (Coulombs).
2. Know the Charge of a Single Electron:
The elementary charge (charge of a single electron) is approximately [tex]\( 1.6 \times 10^{-19} \, \text{C} \)[/tex].
3. Calculate the Number of Electrons:
To find the number of electrons, we need to divide the total charge by the charge of a single electron. This can be expressed with the formula:
[tex]\[
\text{Number of electrons} = \frac{\text{Total charge}}{\text{Charge of one electron}}
\][/tex]
4. Substitute the Given Values:
[tex]\[
\text{Number of electrons} = \frac{32 \times 10^{-18} \, \text{C}}{1.6 \times 10^{-19} \, \text{C}}
\][/tex]
5. Perform the Division:
[tex]\[
\text{Number of electrons} = 200.0
\][/tex]
Therefore, the body contains 200 electrons.
