Question 35 of 380

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:

ABCD

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Answer: (C)

We know that ${v}_{d}=k\sqrt{E}$ and $I=neA{v}_{d}$,

$\Rightarrow I=neAk\sqrt{E}$$∵$$E=\dfrac{V}{d}\Rightarrow I=neAk\sqrt{\dfrac{V}{d}}$
$\Rightarrow I\propto \sqrt{V}\Rightarrow V\propto {I}^{2}$. So,

JEE Main Physics practice question on Current Electricity (Electric Current and Drift of Electrons), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.