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    magnetic flux and magentic field

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    1. Two circular coils of radius R each perpendicular to a common axis. The coil centers are a distance R apart and each coil carries a steady current I in the same direction. Show that magnetic field on the axis at a distance x from the center of one coil is

    Show that are both zero at the point midway between the coils.
    This means the magnetic field in the region midway between the coils is uniform. Coils in this configuration are called Helmholtz coils.

    2. A loop of wire in a shape of a rectangular of width w and length L and a long, straight wire carrying a current I lie on a tabletop. Determine the magnetic flux through the loop due to the current I.

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    Solution Summary

    The solution shows detailed calculations of the magnetic flux through the rectangular loop due to the current carried by the straight long wire.