B) what is the induced emf? C) what is the induced current? D) how much energy i

Question

B) what is the induced emf? C) what is the induced current? D) how much energy is dissipated in the coil? A square coil of wire with side I = 7 00 cm contains 200 loops and is positioned perpendicular to a 0.75 T magnetic field, and show in the figure below. It is quickly pulled from the field at constant speed (moving perpendicular to B) to a region to the right where B drops sharply to zero. At time t = 0s, the right edge of the coil is at the edge of the field It takes 0.01 s for the whole coil to reach the field-free region The coil's total resistance is 250 ohm . Using this information and the figure below, determine the following: What is the rate of change in the flux through the coil?

Explanation / Answer

B. induced emf e = NAdB/dt

emf e = 200*0.07*0.07 * 0.75/0.01

emf e = 73.5 Volts

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C. induced current = emf/R

i = 73.5/250

i   = 0.294 Amps

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energy U = i^2Rt

U = 0.294*0.294 * 250 * 0.01

U = 0.216 J or 216 mJ

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