First slide

Drift velocity

Question

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

Moderate

A

current, electric field and drift speed
B

drift speed only
C

current and drift speed
D

current only

Solution

If E is the electric field, then current density $j = σ E$ Also we know that current density $j = \frac{i}{A}$
Hence T is different for different area of cross-sections. When T is different, then E is also different. Thus E is not constant. The drift velocity $v_{d}$ is given by $v_{d} = \frac{j}{n e}$ = different for different j values, Hence, only current ii will be constant.

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