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    Ampere's Law: Magnetic field from a wire

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    Consider a straight section of wire of length L which carries a current I, as shown below. Show that the magnetic field at a point P a distance R from the wire along its perpendicular bisector is B = (muI/2piR) * L/(L^2 + 4R^2)^1/2

    ^
    : :
    : :
    L/2 : I :
    :
    : R
    :-------------------->P
    :
    L/2 :
    :
    :

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    https://brainmass.com/physics/biot-savart-law/ampere-s-law-magnetic-field-from-a-wire-53588

    Solution Preview

    See the attached file for full calculations.

    :C(by letting dx be at C)
    :
    :L/2
    :
    :.............................P
    O R

    The angle (pi-theta) ...

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    With complete formulas and calculations, the problem is solved.

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