B ( t ) = (1.4 T) e ? (0.120 s -1 ) t . 1 10 clockwise counterclockwise Help ple

Question

B(t) = (1.4 T)e?(0.120 s-1)t. 1 10 clockwise counterclockwise    Help please 1 10 A flat, circular, steel loop of radius 90cm is at rest in a uniform magnetic field, as shown in an edge on view in the figure below. The field is changing with time, according to B(t) = (1.4 T)e?(0.120 s-1)t. (a) Find the emf induced in the loop as a function of time. |&| = (b) When is the induced emf equal to 1 10 of its initial value? s (c) Find the direction of the current induced in the loop, as viewed from above the loop. clockwise counterclockwise Help please

Explanation / Answer

a) emf = -d flux/dt = -A dB/dt cos(30 degrees)

dB/dt = 1.4*-0.120*e^(-0.120 t)

so emf = pi*.9^2*cos(30 degrees)*1.4*0.12*e^(-0.120 t)

= 0.370 e^(-0.120 t)

b) e^(-0.120 t) = 0.1

t= 19.19 s

c) counterclockwise

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