The magnetic flux through the loop shown in the figure increases according to th
ID: 2251907 • Letter: T
Question
The magnetic flux through the loop shown in the figure increases according to the relation
?B = 5.0 t2 + 9.0 t
where ?B is in milliwebers and t is in seconds.
(A) What is the flux at t = 3.0 s? (in webers = Wb)
(B) What is the magnitude of the emf induced in the loop at t = 3.0 s?
The magnetic flux through the loop shown in the figure increases according to the relation? B = 5.0 t2 + 9.0 t where ?B is in milliwebers and t is in seconds. What is the flux at t = 3.0 s? (in webers = Wb) What is the magnitude of the emf induced in the loop at t = 3.0 s?Explanation / Answer
You want the derivative of ?(t) at t = 3 s, not the change in ?(t) from t=0.
V = N*d?/dt
N = 1
t = 3 s
?(t) = 5t^2+9t
d?/dt = 10t+9 = 39 mWb/s
V = 39 mV
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