Write Coulomb's Law in Vector Form.

Coulomb's Law, named after French physicist Charles-Augustin de Coulomb, describes the electrostatic force between two charged particles. The law states that the force of attraction or repulsion between two point charges is directly proportional to the product of their magnitudes and inversely proportional to the square of the distance between them.

Mathematically, Coulomb's Law is expressed as :

\[ F \propto \frac{{q_1q_2}}{{r^2}} \]

\(F = k \frac{q_1q_2}{r^2}\)

Vectorically, it is : 

\(\vec{F} = k\frac{q_1q_2}{r^3}\vec{r}\)

Where:

- F represents the magnitude of the electrostatic force.

- k = \(\frac{1}{4\pi\varepsilon_0}\) is the Coulomb's Constant, approximately equal to 9 x 10⁹ N m²/C².

- \(\epsilon_0\)  is the permittivity of free space.

- q₁ and q₂ are the magnitudes of the charges.

- r is the distance between the charges.

- \(\vec{r}\) is the unit vector.

Also Read : Differentiate between Pulsed and Continuous Wave (CW) laser.

Also Read : What is the use of Hall Effect?

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