If E denotes electric field in a uniform conductor, I corresponding current through it, vd is the drift velocity of electrons and P denotes thermal power produced in the conductor, then which of the following graph is incorrect

Question

If E denotes electric field in a uniform conductor, I corresponding current through it, vd is the drift velocity of electrons and P denotes thermal power produced in the conductor, then which of the following graph is incorrect (A) Option 1

(B)

(C)

(D)

Tardigrade Admin · Accepted Answer

E=(V/l)=(I R/l)=(I ρ l/Al)=(n e A vd ρ l/Al)=nevdρ vd propto E straight line P=I2R=((E l/R))2× R=(E2 l2/ρ l)× A ⇒ P propto E2 (P a r a b o l a) P propto I2 (.Parabola)

Q. If $E$ denotes electric field in a uniform conductor, $I$ corresponding current through it, $v_{d}$ is the drift velocity of electrons and $P$ denotes thermal power produced in the conductor, then which of the following graph is incorrect

$E = \frac{V}{l} = \frac{I R}{l} = \frac{I ρl}{A l} = \frac{n e A v _{d} ρl}{A l} = n e v_{d} ρ$
$v_{d} \propto E$ straight line
$P = I^{2} R = (\frac{El}{R})^{2} \times R = \frac{E ^{2} l ^{2}}{ρl} \times A$
$\Rightarrow P \propto E^{2} (P a r ab o l a)$
$P \propto I^{2} (P a r ab o l a)$

Q. If E denotes electric field in a uniform conductor, I corresponding current through it, vd​ is the drift velocity of electrons and P denotes thermal power produced in the conductor, then which of the following graph is incorrect

E=lV​=lIR​=AlIρl​=AlneAvd​ρl​=nevd​ρ vd​∝E straight line P=I2R=(REl​)2×R=ρlE2l2​×A ⇒P∝E2(Parabola) P∝I2(Parabola)

Q. If $E$ denotes electric field in a uniform conductor, $I$ corresponding current through it, $v_{d}$ is the drift velocity of electrons and $P$ denotes thermal power produced in the conductor, then which of the following graph is incorrect

$E = \frac{V}{l} = \frac{I R}{l} = \frac{I ρl}{A l} = \frac{n e A v _{d} ρl}{A l} = n e v_{d} ρ$
$v_{d} \propto E$ straight line
$P = I^{2} R = (\frac{El}{R})^{2} \times R = \frac{E ^{2} l ^{2}}{ρl} \times A$
$\Rightarrow P \propto E^{2} (P a r ab o l a)$
$P \propto I^{2} (P a r ab o l a)$