Question
A cylindrical wire of non-uniform cross-section has its
radius increasing linearly from R to 3R over its length L. If a constant current I flows through it, find the average drift velocity of electrons in terms of current and radial variation.Solution
Let the radius of the cylindrical wire at a distance x from the end with radius R be r(x). Since the radius increases linearly from R to 3R over the length L, we can write the radius as a function of x: 
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