A coil with 2000 circular returns with 5.0cm radius in thepresence of a magnetic

Question

A coil with 2000 circular returns with 5.0cm radius in thepresence of a magnetic field perpendicular to the plane of returnsand oscilates according to the expression: B= (0.200 T)sin(300t), tis un seconds. a. find an expression for the electromotive force induced bythe coil b. determine the maximum value of the electromotiveforce A coil with 2000 circular returns with 5.0cm radius in thepresence of a magnetic field perpendicular to the plane of returnsand oscilates according to the expression: B= (0.200 T)sin(300t), tis un seconds. a. find an expression for the electromotive force induced bythe coil b. determine the maximum value of the electromotiveforce

Explanation / Answer

given number of turns N = 2000 radius r = 5.0810-2m area of the circular coil A = r2 B= (0.200 T)sin(300t) a) the expression for the electromotive force is     =-N(dB/dt)                (since B = B.A)         = -NAdB/dt          =-NA(300)(0.200T)cos(300t) b) the electromotive force is maximum iswhen cos(300t) value is -1 thus     max =NA(300)(0.200T)             = ----------

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