First slide

Drift velocity

Question

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?

Moderate

A
B
C
D

Solution

$E = \frac{IR}{L} = \frac{I . ρ}{A} = \frac{{neAv}_{d} ρ}{A} \Rightarrow v_{d} \propto E (Straight line)$
$P = I^{2} R = {(\frac{EA}{ρ})}^{2} R \Rightarrow P \propto E^{2} (Symmetric parabola)$
$Also P \propto I^{2} (parabola)$
Hence, all graphs 1, 2, 4 are correct and 3 is incorrect.

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