If fe represents the electrostatic force in n that point charge q1 in c exerts on point charge q2 in c, and r represents the distance between the point charges in m, what is the unit for the electrostatic constant k in the formula f = kq1q2/r^2?

Nm²/C²

Explanation:

The formula to calculate the Electrostatic Force is:

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:

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,

So, the SI unit of k, Coulomb's constant, is Nm²/C²