A coil with 41 turns of wire is wrapped on a frame with a square cross-section 1

Question

A coil with 41 turns of wire is wrapped on a frame with a square cross-section 1.85 cm on a side. Each turn has the same area, equal to that of the frame, and the total resistance of the coil is 0.693 ?. An applied uniform magnetic field is perpendicular to the plane of the coil, as in the figure. (a) If the field changes uniformly from 0.00 T to 0.405 T in 0.777 s, find the induced emf in the coil while the field is changing. = V (b) Find the magnitude of the induced current in the coil while the field is changing. I = A

Explanation / Answer

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A coil with 41 turns of wire is wrapped on a frame with a square cross-section 1.85 cm on a side. Each turn has the same area, equal to that of the frame, and the total resistance of the coil is 0.693 ?. An applied uniform magnetic field is perpendicular to the plane of the coil, as in the figure. a) If the field changes uniformly from 0.00 T to 0.405 T in 0.777 s, find the induced emf in the coil while the field is changing. E = (b) Find the magnitude of the induced current in the coil while the field is changing. I =

dB/dt = (61 -21)/ 76 = 0.526 Tesla/second
radius ofcoil= 0.43 meter
Area of coil = (pi) (r^2) = 0.58 meters^2
d ( flux)/dt = 0.305 Weber/sec = 0.305voltsper winding
V= 824* 0.305 volts per winding = 252 volts

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