f) is not 7.2 or 26.25 h) is not 2.625 or 19.05 A simple conductor with a resist
ID: 1558594 • Letter: F
Question
f) is not 7.2 or 26.25
h) is not 2.625 or 19.05
A simple conductor with a resistance between the end points of 0.8 Ohm is oriented perpendicular to a magnetic field of B = 0.5 Wb/m^2 It is observed to be moving to the right at a speed of u = 50 m/s as shown in the sketch below. The mechanical losses are small enough to be ignored. The conductor is 35cm long and carries a current of 3A directed into the page/screen. Compute or otherwise determine the following: a) F_Lorentz b)The direction of the Lorentz force is c) The Faraday emf is d)The direction of the Faraday emf is e)This machine is a f) The electrical power involved in this process is g)This power is h)The mechanical power involved in this process is i) The machine isExplanation / Answer
(a)
FLorentz = I*L*B = 3*0.35*0.5 = 0.525 N
(b)
to the right
(c)
faraday emf = B*u*L = 0.5*50*0.35 = 8.75 V
(d)
as the conductor moves the magnetic flux increases
so induced magnetic flux is downwards
induced current is out of page
out of page
(e)
motor
(f)
electrical power = emf^2/R = 8.75^2/0.8 = 95.7 W
(g)
consumed
(h)
mechanical power = FL*u = 0.525*50 = 26.3 W
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