Consider the rectangular loop of wire shown with width 40.0cm, height 20.0cm and
ID: 1503675 • Letter: C
Question
Consider the rectangular loop of wire shown with width 40.0cm, height 20.0cm and resistance 3.00 ohms. The loop starts in a yz-plane as shown and rotates about the y-axis completing 125 revolutions each second. There is a uniform magnetic field present which has a magnitude of 40.0 uT (u=micro) and is directed along the x-axis.
(a) Determine the magnetic flux through the rectangle as a function of time. (Note: the angle is changing and can be written as "2 pi f t"
(b) From your answer to part (a), use Faraday's Law to determine the induced EMF in the loops as a function of time.
(c) What is the maximum induced EMF as the rectangle rotates?
Please show work and explain. THANK YOU!
Explanation / Answer
a)
we know that
flux = BA sin theta
theta = wt
w = 2xpixf
flux = BA sin wt
flux = BA sin 2xpixt
b)
emf = rate of change of flux
E = BAw cos 2x pix fxt
c)
Emax = BAw
substituting given values in SI units
w = 125x2xpi
Emax = 0.002513 V