b.What is the electrical energy dissipated in the resistor in 33 s? A 1000-turn

Question

b.What is the electrical energy dissipated in the resistor in 33 s?

A 1000-turn loop (radius = 0.036m) of wire is connected to a (25 Ohm) resistor as shown in the figure. A magnetic field is directed perpendicular to the plane of the loop. The field points into the paper and has a magnitude that varies in time as B=gt, where g=0.25 T/s. Neglect the resistance of the wire. What is the magnitude of the potential difference between points a and b? What is the electrical energy dissipated in the resistor in 33 s?

Explanation / Answer

given B = 0.25 t

dB/dt=0.25

a. induced emf e = NAdB/dt

e = 1000*3.14*0.036*0.036 * 0.25

e = 1.01736 volts

b. electrical energy = power*time

= (v^2/R)(33)

= 1.01736*1.0175* 33/25

= 1.366 Joules

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