Question

Deduce ohms law using concept of drift velocity .

Answer 1

Let V be the potential difference of the conductor whose length is l. Video Drift velocity in terms of potential difference is given by $\frac{\epsilon V t}{m l}$

Now current I of conductor is given by enAvd

Now voltage upon current will be given by $\frac{m l}{n e^{2} t A}$

Temperature is fixed the values of m, e, a, t, n will also be fixed

Hence we can conclude voltage upon current or $\frac{v}{i}$ is constant here is given the name of R resistance hence we conclude the Ohm's Law $\frac{v}{i}=R$