Problem 3- A thin metal rod of length a = 70.0 cm long rotates around point 0 with a constant angular speed of w = 1.90 rad/s. The free end of the rod slides on a frictionless metal rail that is bent into the shape of a lower-case "e". The point of contact between the rod and the rail is labeled as point P. The entire contraption is perpendicular to a constant magnetic field of Bo = 0.40 T directed out of the page. All of the conducting material (i.e., both the rod and the rail) has a resistance per unit length of 5.00 /m. Point P passes point Q at time t = 0. (a) Determine the emf & induced in the loop POQ. (b) What current I is induced in the loop POQ at t = 0.25 s? (c) How much external work needs to be done to keep the rod moving at a constant w? This rod rotates about 0. P

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Problem 3- A thin metal rod of length a = 70.0 cm long rotates around point 0 with a constant angular
speed of w = 1.90 rad/s. The free end of the rod slides on a frictionless metal rail that is bent into the
shape of a lower-case "e". The point of contact between the rod and the rail is labeled as point P. The
entire contraption is perpendicular to a constant magnetic field of Bo = 0.40 T directed out of the page.
All of the conducting material (i.e., both the rod and the rail) has a resistance per unit length of 5.00 /m.
Point P passes point Q at time t = 0.
(a) Determine the emf & induced in the loop POQ.
(b) What current I is induced in the loop POQ at t = 0.25 s?
(c) How much external work needs to be done to keep the rod
moving at a constant w?
(d) Is it possible to rotate the rod fast enough so that the total
B-field at point O is zero? If so, what would w need to be?
This rod rotates
about O.
Bout
Transcribed Image Text:Problem 3- A thin metal rod of length a = 70.0 cm long rotates around point 0 with a constant angular speed of w = 1.90 rad/s. The free end of the rod slides on a frictionless metal rail that is bent into the shape of a lower-case "e". The point of contact between the rod and the rail is labeled as point P. The entire contraption is perpendicular to a constant magnetic field of Bo = 0.40 T directed out of the page. All of the conducting material (i.e., both the rod and the rail) has a resistance per unit length of 5.00 /m. Point P passes point Q at time t = 0. (a) Determine the emf & induced in the loop POQ. (b) What current I is induced in the loop POQ at t = 0.25 s? (c) How much external work needs to be done to keep the rod moving at a constant w? (d) Is it possible to rotate the rod fast enough so that the total B-field at point O is zero? If so, what would w need to be? This rod rotates about O. Bout
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