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Drift Velocity

A current I f...

Question

A current $I$ flows through a flat metal specimen of constant thickness and of the shape as shown in the figure. Given that $v_{1}, v_{2}$ and $v_{3}$ are mean drift speeds of the electron crossing the sections $P_{1}, P_{2}$ and $P_{3}$ respectively. Then

v_{2} < v_{1} < v_{3}

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v_{1} < v_{2} < v_{3}

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v_{1} = v_{3} < v_{2}

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v_{1} > v_{2} = v_{3}

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Solution

The correct option is A $v_{2} < v_{1} < v_{3}$
From the relation of electric current and drift velocity, we know that
$I = n e A v = n e (w t) v ∵ (A = w t)$
$\Rightarrow v \propto \frac{1}{w}$
$w =$ width, other symbols have usual meaning.
$∴$ Greater the width of the section, lesser will be the drift velocity and vice-versa.
$\Rightarrow v_{2} < v_{1} < v_{3}$

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A current I flows through a flat metal specimen of constant thickness and of the shape as shown in the figure. Given that v1,v2 and v3 are mean drift speeds of the electron crossing the sections P1,P2 and P3 respectively. Then

The correct option is A v2<v1<v3From the relation of electric current and drift velocity, we know that I=neAv=n e (wt) v ∵(A=wt) ⇒v∝1w w=width, other symbols have usual meaning. ∴ Greater the width of the section, lesser will be the drift velocity and vice-versa. ⇒v2<v1<v3

A current $I$ flows through a flat metal specimen of constant thickness and of the shape as shown in the figure. Given that $v_{1}, v_{2}$ and $v_{3}$ are mean drift speeds of the electron crossing the sections $P_{1}, P_{2}$ and $P_{3}$ respectively. Then