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?

Question

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? (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

E=(I R/L)=(I . ρ/A)=(n e A vd ρ/A) ⇒ vd propto E (Straight line) P=I2 R=((E A/ρ))2 R ⇒ P propto E2 (Symmetric parabola) Also P propto I2 (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?

$E = \frac{I R}{L} = \frac{I . ρ}{A} = \frac{n e A v _{d} ρ}{A}$
$\Rightarrow v_{d} \propto E$ (Straight line)
$P = I^{2} R = (\frac{E A}{ρ})^{2} R \Rightarrow P \propto E^{2}$ (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, vd​ drift velocity of electrons and P denotes thermal power produced in the conductor. then which of the following graph is incorrect?

E=LIR​=AI.ρ​=AneAvd​ρ​ ⇒vd​∝E (Straight line) P=I2R=(ρEA​)2R⇒P∝E2 (Symmetric parabola) Also P∝I2 (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?

$E = \frac{I R}{L} = \frac{I . ρ}{A} = \frac{n e A v _{d} ρ}{A}$
$\Rightarrow v_{d} \propto E$ (Straight line)
$P = I^{2} R = (\frac{E A}{ρ})^{2} R \Rightarrow P \propto E^{2}$ (Symmetric parabola)
Also $P \propto I^{2}$ (parabola)
Hence, all graphs $a, b, d$ are correct and $c$ is incorrect.