Question

Force between two charges $q_1$ and $q_2$ separated by a distance r is proportional to $q_1{q}_2/r^2$ . Proportionality constant is

• A. $\frac{{\epsilon }_0}{4\pi }$
• B. $4\pi {\epsilon }_0$
• C. $\frac{1}{4\pi {\epsilon }_0}$
• D. $1$

Answer 1

The correct option is C $\frac{1}{4\pi {\epsilon }_0}$

Given that,

First charge $=q_1$

Second charge $=q_2$

Distance $=r$

We know that,

According to Coulomb’s law

The force is

$F=\frac{1}{4\pi {\epsilon }_0}\times \frac{q_1{q}_2}{r^2}$

So, the proportionality constant is

$=\frac{1}{4\pi {\epsilon }_0}$

Hence, this is the required solution