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    A straight long wire of radius 'a' carries a current 'I' uniformly distributed along its cross-section. The magnetic field B in the region r < a wi
    Question

    A straight long wire of radius 'a' carries a current 'I' uniformly distributed along its cross-section. The magnetic field B in the region r < a will be proportional to

    A.

    r2

    B.

    r

    C.

    1/r

    D.

    1/r2

    Correct option is B

    The correct answer is: (b) r Explanation: Inside a uniformly current-carrying conductor (r < a), the magnetic field increases linearly with distance r from the center: B ∝ r (from Ampere’s law)
    Information Booster:
    · For r > a: B ∝ 1/r (outside wire).
    · Inside conductor: current enclosed ∝ r².
    · Ampere’s Law: ∮B·dl = μ₀I_enclosed.
    · Magnetic field is zero at the center.

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