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A rectangular loop of wire with sides 0.217 and 0.443 m lies in a plane perpendi

ID: 1320842 • Letter: A

Question

A rectangular loop of wire with sides 0.217 and 0.443 m lies in a plane perpendicular to a constant magnetic field (see part a of the drawing). The magnetic field has a magnitude of 0.829 T and is directed parallel to the normal of the loop's surface. In a time of 0.265 s, one-half of the loop is then folded back onto the other half, as indicated in part b of the drawing. Determine the magnitude of the average emf induced in the loop.

A rectangular loop of wire with sides 0.217 and 0.443 m lies in a plane perpendicular to a constant magnetic field (see part a of the drawing). The magnetic field has a magnitude of 0.829 T and is directed parallel to the normal of the loop's surface. In a time of 0.265 s, one-half of the loop is then folded back onto the other half, as indicated in part b of the drawing. Determine the magnitude of the average emf induced in the loop.

Explanation / Answer

induced emf is defiend as the rate of change of magnetic flux

in mathematical form,

induced emf e = NAdB/dt or NABW or NA dB/dt cos theta

where A = area

N = no. of tunrs

W = angular frequency

dB/dt = rate of change of amgnetic flux

so

emf e = 1 * 0.217 * 0.443 * 0.829/0.265

emf e = 0.3 Volts -<<<<<<<<<<<<<<<<Answer

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