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Conductor with varying cross section

Suppose that a current-carrying ohmic metal wire has a cross-sectional area that gradually becomes smaller from one end of the wire to the other. How do drift velocity, current density, and electric field vary along the wire? Please explain with the help of equations to support explanation.

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SOLUTION
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Let us consider a straight conductor of cross sectional area A, through which flows a current I. Let the free electron density in the conductor be n. If a potential difference V is applied across a length L of the conductor, an electric field will be set up in the conductor given by : E = V/L

Under the influence of electric field E, the electrons will move against the direction of the electric field with a drift ...

Solution Summary

The expert examines a conductor with varying cross section areas. The effects of varying cross section on current density are determined.

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