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Current Density Vector

A steady curr...

Question

A steady current is set up in a metallic wire of non-uniform cross section. Then the drift velocity is related to the area of cross section (A) as:

V_{d} \propto A^{- 1}

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V_{d} \propto A

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V_{d} \propto A^{2}

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V_{d}

is independent of A

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Solution

The correct option is A $V_{d} \propto A^{- 1}$
We know that in a conducting wire :
Drift velocity, $V_{d} = \frac{I}{n e A}$
Steady current implies current is uniform across the cross-section.
Since the current is constant so,
$\Rightarrow V_{d} \propto A^{- 1}$

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A steady current is set up in a metallic wire of non-uniform cross section. Then the drift velocity is related to the area of cross section (A) as:

The correct option is A Vd∝A−1We know that in a conducting wire :Drift velocity, Vd=IneASteady current implies current is uniform across the cross-section. Since the current is constant so,⇒Vd∝A−1

The correct option is A $V_{d} \propto A^{- 1}$
We know that in a conducting wire :
Drift velocity, $V_{d} = \frac{I}{n e A}$
Steady current implies current is uniform across the cross-section.
Since the current is constant so,
$\Rightarrow V_{d} \propto A^{- 1}$