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    Explanation of Biot-Savart field

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    I need to get the Biot-Savart equation from taking the curl of a general field. The question is in the attached document.

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    Solution Preview

    Please see the attached file for the complete solution.
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    The vector (please see the attached file) is given by:
    (please see the attached file)

    And we have:
    (please see the attached file)

    So, for example, taking the derivative with respect to x yields:
    (please see the attached file)

    By the same token:
    (please see the attached file)

    The magnetic potential is given by:
    (please see the attached file)

    Where ...

    Solution Summary

    The solution shows how to go from the expression for the magnetic potential to the well known Biot-Savart law for magnetic fields. It is enclosed in a 4 page attached document.