1. Tardigrade
  2. Question
  3. Physics
  4. Suppose the drift velocity vd in a material varied with the applied electric field E as vd propto √E. Then V - I graph for a wire made of such a material is best given by :

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. Suppose the drift velocity $v_d$ in a material varied with the applied electric field $E$ as $v_{d} \,\propto\,\sqrt{E}.$ Then $V - I$ graph for a wire made of such a material is best given by :

JEE MainJEE Main 2015Current Electricity

Solution:

image
$i=n e A v_{2}=n e A(k \sqrt{E})$, where $k$ is the constant
$i=n e A k \sqrt{\frac{V}{d}}$, where $V$ is the potential difference and $d$ is the length of the conductor.
Therefore, $V=\beta i^{2}$ (Parabolic curve)
where $\beta$ is the constant.