Question

What Is K Equal To In Coulomb Law?

Answer 1

1. According to Coulomb’s law, the force of attraction or repulsion between two charged bodies is directly proportional to the product of their charges and inversely proportional to the square of the distance between them.
2. The mathematical expression for Coulomb's law:
   $\mathrm{F}=\frac{{\mathrm{Kq}}_1{\mathrm{q}}_2}{{\mathrm{r}}^2}$
   Where, $\mathrm{F}$represents as the force between the charge, ${\mathrm{q}}_1$and ${\mathrm{q}}_2$ represents the charges, $\mathrm{r}$ represents the distance between the charges and $\mathrm{K}$ be the Coulomb's constant.
3. The term $\mathrm{K}$ ( proportionality constant) can be written as:
   $\mathrm{K}=\frac{1}{4{\mathrm{\pi \epsilon }}_0}$
   where ,${\mathrm{\epsilon }}_0$ refers to the permittivity.
4. The value of permeability ${\mathrm{\epsilon }}_0=8.85\times {10}^{-12}{\mathrm{m}}^{-3}.{\mathrm{kg}}^{-1}.{\mathrm{s}}^4.{\mathrm{A}}^2$
5. The value of the constant of proportionality in the Coulomb's law is written as: $$\begin{gathered} \mathrm{K}=\frac{1}{4\mathrm{\pi }\times 8.85\times {10}^{-12}} \\ \mathrm{K}=9\times {10}^9\mathrm{N}.{\mathrm{m}}^2/{\mathrm{C}}^2 \end{gathered}$$
6. The K equal to In Coulomb Law $9\times {10}^9\mathrm{N}.{\mathrm{m}}^2/{\mathrm{C}}^2$