Problem 6: Suppose the emf generated by a coil rotating in a magnetic field is z
ID: 1872531 • Letter: P
Question
Problem 6: Suppose the emf generated by a coil rotating in a magnetic field is zero at t-o, and increases to its first peak at to = 0.095 ms. Part (a) What is the angular velocity of the coil in rad/s? Numeric A numeric value is expected and not an expression. Part (b) At what time (relative to t-0) in ms will its next maximum occur? At this point, the current will be moving in the same direction as h fit maxi erie valne is expected and not Numeric A numeric value is expected and not an expression. max Part (c) What is the period of the oscillation in ms? Numeric A numeric value is expected and not an expression. T= Part (d) When is the emf first one-fourth of its maximum in seconds? Numeric A numeric value is expected and not an expression 1/4,1 Part (e) When is it next one-fourth of its maximum in seconds? Numeric : A numeric value is expected and not an expression. t1/4,2-Explanation / Answer
6. (A) zero to peak -> time period / 4
T / 4 = 0.095 ms
T = 0.38 ms
w = 2 pi / T = 16535 rad/s
(B) t_max = T = 0.38 ms
(C) T = 0.38 ms
(D) E = Emax sin(w t)
E = Emax / 4
w t = sin^-1(1/4)
t = 0.015 ms
(E) t = 0.175 ms