First slide

Drift velocity

Question

A steady current flows in a metallic conductor of non-uniform cross-section. The quantity/quantities constant along the length of the conductor is/are

Easy

A

current, electric field and drift speed
B

drift speed only
C

current and drift speed
D

current only

Solution

If E be the electric field, then current density
$\vec{j} = σE$ ……….(1)
We know that current density j = (i / A). So, j is different for different area of cross-sections. When j is different, then from eq. (1), E is also different. Thus E is not constant. The drift velocity v_d is given by
$v_{d} = j / ne$ =different for different j values
Hence only current i will be constant.

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