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    Which one of the following graphs shows the magnetic field B inside and outside a current carrying long straight wire of a circular cross section of r
    Question

    Which one of the following graphs shows the magnetic field B inside and outside a current carrying long straight wire of a circular cross section of radius R (current uniformly distributed)?

    A.

    B.

    C.

    D.


    Correct option is D

    Correct answer is d
    Concept:
    A current-carrying wire generates a magnetic field both inside and outside the wire.
    Inside the wire (r ≤ R), the magnetic field increases linearly with the distance from the center of the wire.
    Outside the wire (r > R), the magnetic field decreases inversely with the distance.
    At r = R, the magnetic field reaches its maximum value.
    Explanation:
    Inside the wire (r ≤ R):
    The magnetic field is proportional to r, so B ∝ r.
    Outside the wire (r > R):
    The magnetic field follows an inverse relationship with r, so B ∝ 1/r.
    Hence, the graph must show:
    A linear increase inside the wire (from r = 0 to r = R).
    A sharp decrease outside the wire (for r > R).

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