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 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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