Suppose the drift velocity v d in a material varied with the applied electric field E as v d ∝ E . Then V - I graph for a wire made of such a material is best given by:

We know that v d = k E and I = n e A v d , ⇒ I = n e A k E ∵ E = V d ⇒ I = n e A k V d ⇒ I ∝ V ⇒ V ∝ I 2 . So,

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Physics - Current Electricity Question with Solution | TestHub

PhysicsCurrent ElectricityMicroscopicMedium2 minPYQ_2015

PhysicsMediumsingle choice

Suppose the drift velocity $v_{d}$ in a material varied with the applied electric field E as $v_{d} \propto \sqrt{E}$ . Then $V - I$ graph for a wire made of such a material is best given by:

Options:

Answer:

Solution:

We know that $v_{d} = k \sqrt{E}$ and $I = n e A v_{d}$ ,

$\Rightarrow I = n e A k \sqrt{E}$ $∵$ $E = \frac{V}{d} \Rightarrow I = n e A k \sqrt{\frac{V}{d}}$
$\Rightarrow I \propto \sqrt{V} \Rightarrow V \propto I^{2}$ . So,

Stream:JEESubject:PhysicsTopic:Current ElectricitySubtopic:Microscopic

⏱ 2mℹ️ Source: PYQ_2015

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