$E$ denotes electric field in a uniform conductor, $I$ corresponding current through it, $v_{d}$ drift velocity of electrons and $P$ denotes thermal power produced in the conductor, then which of the following graph is incorrect

Question

Dr. Abubacker · Accepted Answer

(c) $E = \frac{iR}{L} = \frac{i.\rho}{A} = \frac{neAv_{d}\rho}{A} \Rightarrow v_{d} \propto E$ [Straight line]
$P = i^{2}R = \left( \frac{EA}{\rho} \right)^{2}R \Rightarrow P \propto E^{2}$ [Symmetric parabola]
Also $P \propto i^{2}$ (parabola)
Hence all graphs $a,b,d$ are correct and $c$ is incorrect

Q. $E$ denotes electric field in a uniform conductor, $I$ corresponding current through it, $v_{d}$ drift velocity of electrons and $P$ denotes thermal power produced in the conductor, then which of the following graph is incorrect

Explanation

Reviewed by Dr. Abubacker

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