A horizontal circular wire loop of radius 0.7 m lies in a plane perpendicular to

Question

A horizontal circular wire loop of radius 0.7 m lies in a plane perpendicular to a uniform magnetic field pointing from above into the plane of the loop, has a magnitude of 0.44 T. If in 0.09 s the wire is reshaped from a circle into a square, but remains in the same plane, what is the magnitude of the average induced emf in the wire during this time? Answer in units of V.
A horizontal circular wire loop of radius 0.7 m lies in a plane perpendicular to a uniform magnetic field pointing from above into the plane of the loop, has a magnitude of 0.44 T. If in 0.09 s the wire is reshaped from a circle into a square, but remains in the same plane, what is the magnitude of the average induced emf in the wire during this time? Answer in units of V.

Explanation / Answer

avg induced emf = B A /time   = .           = B ( area of circle - area of square ) / t .     Now...   area of circle = r2 = *0.702 =    1.5394 . The circumference of the circle is 2r = 2 * 0.70 =    4.398 meters . So a side of the square is    4.398 / 4 =    1.09956    and the area of thesquare is .           1.099562   =   1.2090 . So finally... .    avg induced emf =   0.44 *(1.5394 - 1.2090) / 0.09   = 1.615 volts

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