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    Loop of wire spun at an angular rate about a vertical axis: EMF and current induced

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    A 5 meter long copper wire, with a cross sectional area of 1.0mm^2 is bent into a circle. This loop of wire is mounted in a vertical plane between the poles of a magnet. This magnet is aligned so that its field points in a horizontal direction from the west to the east; the magnitude of this field is 7.25*10^(-4)T. The loop of wire is then spun at an angular rate of 10pi radians/sec about a vertical axis running through the center of the loop.

    1) What emf is induced?

    2) What current is induced in the wire?

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    Solution Preview

    Because, induced EMF (e)= -d(phi)/d(t)
    here negative sign shows that induced emf opposes the cause of it's inductin.
    phi = magnetic flux = B*A
    A = area of circle.
    The area of circle crossing the magnetic field line will change with time because, it is rotated with respect to vertical axis.
    d(phi)/dt = B*dA/dt
    because, let ...

    Solution Summary

    The expert examines EMF induced. The current induced in the wire are determined. With good explanations and calculations, the problems are solved.