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    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.
    A I/(3neπR²) Correct Answer Incorrect Answer
    B I/(6neπR²) Correct Answer Incorrect Answer
    C I/(3neπR³) Correct Answer Incorrect Answer
    D I/(6neπR³) Correct Answer Incorrect Answer

    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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