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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

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a

b

c

d

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detailed solution

Correct option is C

$E = \frac{iR}{L} = \frac{{neAv}_{d} ρ}{A} \Rightarrow v_{d} \propto E$ (Straight line)
$P = i^{2} R = {(\frac{EA}{ρ})}^{2} R \Rightarrow P \propto E^{2}$ (Symmetric parabola)
Also ${P∝i}^{2}$ (parabola)
Hence all graphs a, b, d are correct and c is incorrect

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