Answer:
Nm²/C²
Explanation:
The formula to calculate the Electrostatic Force is:
[tex]F=k\frac{q_{1}q_{2}}{r^{2}}[/tex]
We have to find the units of k. So, for this first we need to isolate k on one side of the equation as shown below:
[tex]k=\frac{Fr^{2}}{q_{1}q_{2}}[/tex]
F represents the electrostatic force, so its units are Newtons(N). r represents the distance between point charges, so its units will be meters(m). q1 and q2 represent the magnitude of point charges with units in Coulomb (C).
So,
[tex]\text{Unit of k}=\frac{\text{Unit of F } \times \text{ Square of Unit of r}}{\text{Square of unit of charge}} \\\\ \text{Unit of k}= \frac{Nm^{2}}{C^{2}}[/tex]
So, the SI unit of k, Coulomb's constant, is Nm²/C²
