Question

What is Columb's Law? Derive the expression for it​

Answer 1

$\huge\boxed{\fcolorbox{blue}{orange}{Columb's\:\:Law}}$

The Columb's Law states that the force of attraction or repulsion is directly proportional to the product of the charges and inversely proportional to the square of distance between them.

Mathematically,

$F \:\:oc\:\:q_{1}q_{2}$. ........... (1)

$F \:\:oc\:\:\dfrac{1}{r^{2}}$ .......... (2)

Where

• F is the force of attraction or repulsion
• $q_{1}$ &$q_{2}$ are the two charges
• r is the distance between the charges.

______________________________________

Combining equations 1 & 2 , we have,

$\implies F \:\:oc\:\:\dfrac{q_{1}q_{2}}{r^{2}}$

$\implies F \:\:=\:\:k\dfrac{q_{1}q_{2}}{r^{2}}$

(Putting k as constant.)

$\implies F\:\:=\:\:\dfrac{1}{4\pi\epsilon_{0}}\dfrac{q_{1}q_{2}}{r^{2}}$

${\underline{\boxed{.°. F\:\:=\:\:\dfrac{1}{4\pi\epsilon_{0}}\dfrac{q_{1}q_{2}}{r^{2}}}}}$

$\huge\red{\boxed{F\:\:=\:\:\dfrac{1}{4\pi\epsilon_{0}}\dfrac{q_{1}q_{2}}{r^{2}}}}$