**What is Ohms Law?**

Current (I) flowing through a conductor is directly proportional to the potential difference (V) across the ends of the conductor. A German scientist named Georg Ohm performed many experiments in an effort to show the correlation between current and potential difference and this law became Ohms law on his name.

**Mathematical Representation of Ohms Law**

VαI or

V= RI or

V/I=R=a constant

Where R is known as resistance of the conductor.

**Deduction of Ohm’s Law**

Drift velocity is given by Vd=eEt/m where Vd is the drift velocity

But Electric field across the conductor of length l is i.e. E=V/l

Thus Vd=(eV/ml)t

Also, I=Anevd

By putting value of vd in the equation of I

I=Ane(eV/ml)t=(Ante^2/ml)V

Or V/I=ml/Ante^2=R Where R is a constant for a given conductor. It is known as the resistance of the conductor.

Thus V=RI

**Check the following video for a very nice explanation**