Question

What is K in electrostatic force?

Answer 1

1. The letter $\mathrm{K}$ is referred to as coulombs constant, electrostatic constant, or electrical force constant in the electrostatic force.
2. 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.
3. The coulombs constant, electrostatic constant or electrical force constant was named by Charles Augustin de coulomb after he found the coulomb's law.
4. The mathematical expression for Coulomb's law,
   $\mathrm{F}=\frac{{\mathrm{Kq}}_1{\mathrm{q}}_2}{{\mathrm{r}}^2}$
   Where, $\mathrm{F}$ represents the electrostatic force, $\mathrm{K}$ is the coulomb's constant,${\mathrm{q}}_1,{\mathrm{q}}_2$ are the charges, $\mathrm{r}$ is the distance between the charges.
6. The equation of the coulombs constant is written as: $\mathrm{K}=\frac{1}{4{\mathrm{\pi \epsilon }}_0}$,where ${\epsilon }_0$ represents the permittivity of the medium
   $$\begin{gathered} \mathrm{K}=\frac{1}{4{\mathrm{\pi \epsilon }}_0} \\ \mathrm{K}=\frac{1}{4\mathrm{\pi }\times 8.85\times {10}^{-12}{\mathrm{m}}^{-3}.{\mathrm{kg}}^{-1}.{\mathrm{s}}^4.{\mathrm{A}}^2} \\ \mathrm{K}=8.99\times {10}^9\mathrm{N}.{\mathrm{m}}^2/{\mathrm{C}}^2 \end{gathered}$$
   The value of $\mathrm{K}$ is $8.99\times {10}^9\mathrm{N}.{\mathrm{m}}^2/{\mathrm{C}}^2$