Q.

E denotes electric field in a uniform conductor, I corresponding current through it, vd 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

answer is C.

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Detailed Solution

E=IRL = I.ρA = neAvdρA ⇒  vd ∝  E Straight lineP=I2R = EAρ2 R ⇒P ∝  E2 Symmetric parabolaAlso   P ∝ I2 parabolaHence, all graphs 1, 2, 4 are correct and 3 is incorrect.
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