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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?

Solution Summary

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

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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.
hence,
d(phi)/dt = B*dA/dt
because, let ...

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• MSc , Pune University, India
• PhD (IP), Pune University, India
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