If 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 graphs is/are correct ?

Question

If 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 graphs is/are correct ? <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/b41a673ea2d40c6290784f34363f3a16-.png" /> (A) 1, 2 and 3 are correct (B) 1 and 2 are correct (C) 2 and 4 are correct (D) 1 and 3 are correct

Tardigrade Admin · Accepted Answer

E=(I R/L)=(I ρ l/A)=n e vd ρ l ie, vd propto E (Straight line) P=I2 R=((E A/l))2 R ie, P propto E2 (Symmetric parabola) Also P propto I2 (Symmetric parabola)

Q. If $E$ 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 graphs is/are correct ?

1, 2 and 3 are correct

1 and 2 are correct

2 and 4 are correct

1 and 3 are correct

$E = \frac{I R}{L} = \frac{I ρl}{A} = n e v_{d} ρl$
ie, $v_{d} \propto E$ (Straight line)
$P = I^{2} R = (\frac{E A}{l})^{2} R$
ie, $P \propto E^{2}$ (Symmetric parabola)
Also $P \propto I^{2}$ (Symmetric parabola)

Q. If 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 graphs is/are correct ?