To determine if a body can be charged to have a charge of 13 elementary charges, we'll follow these steps:
1. Understand the Concept of Elementary Charge:
The elementary charge (e) is the charge of a single proton or the magnitude of the charge of a single electron. The value of the elementary charge is approximately [tex]\(1.6 \times 10^{-19}\)[/tex] Coulombs (C).
2. Calculate the Total Charge for 13 Elementary Charges:
If we want to charge a body to have the equivalent of 13 elementary charges, we need to multiply the number of elementary charges by the value of one elementary charge.
[tex]\[
\text{Total Charge} = 13 \times \text{elementary charge}
\][/tex]
Substituting the value of the elementary charge:
[tex]\[
\text{Total Charge} = 13 \times 1.6 \times 10^{-19} \text{ C}
\][/tex]
3. Compute the Resulting Charge:
Carrying out the multiplication:
[tex]\[
\text{Total Charge} = 2.08 \times 10^{-18} \text{ C}
\][/tex]
This result shows the total charge in Coulombs when a body is charged with 13 elementary charges.
4. Interpret the Solution:
A charge of [tex]\(2.08 \times 10^{-18}\)[/tex] Coulombs is quite small but theoretically achievable. In practical terms, many devices and instruments can detect and measure such small charges, confirming that it is indeed possible to charge a body to have a charge equivalent to 13 elementary charges.
Therefore, based on the calculations, it is indeed possible to charge a body to have a charge of [tex]\(2.08 \times 10^{-18}\)[/tex] Coulombs, which corresponds to 13 elementary charges.
