(10%) Problem 8: Suppose the emf generated by a coil rotating in a magnetic fiel
ID: 1838105 • Letter: #
Question
(10%) Problem 8: Suppose the emf generated by a coil rotating in a magnetic field is zero at t J0,and increases to its first peak at t 0.085 ms. Randomized Variables to 0.085 ms 20% Part (a) What is the angular velocity of the coil in rad/s? Final Correct Answer Student Answer Grade 18479.95679 a) 18480 a 100% a) 18480 Grade Detail Correct Student Feedback Final Answer Credit 100% Submission History Answer Hints Feedback Totals 18479.95679 a a) 18480 0% 0% 0% Totals 20% Part (b) At what time (relative to t o in ms will its next maximum occur? At this point, the current will be moving in the same direction as the first maximum. 20% Part (c) What is the period of the oscillation in ms? A 20% Part (d) When is the emf first one-fourth of its maximum in seconds? A 20% Part (e) When is it next one-fourth of its maximum in seconds?Explanation / Answer
(A) time taken to reach from zero to maximum =T/4
time period = T = 2t = 4 x 0.085 = 0.34 ms
w = 2pi / T =2pi / (0.34 x 10^-3) = 18479.96 rad/s
(B) second maximum will be at 2t = 0.17 ms
and direction will be opposite .
(C) period = T = 0.34 ms
(D) e = Emax sin(wt)
Emax/4 = Emax sin(18480t)
18480t = 0.253 rad
t = 0.014 x 10^-3 sec = 0.014 ms
(E) next will be 18480t = 2.9 rad
t = 1.56 x 10^-4 s = 0.156 ms
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