In the figure below, a semicircular conductor of radius R = 0.260 m is rotated about the axis AC at a constant rate of 130 rev/min. A uniform magnetic field of magnitude 1.22 T fills the entire region below the axis and is directed out of the page. In this illustration, a wire extends straight to the right from point A, then curves up and around in a semicircle of radius R. On the right side of the semicircle, the wire continues straight to the right to point C. The wire lies in the plane of the page, in a region of no magnetic field. Directly below the axis A C is a region of uniform magnetic field pointing out of the page, vector Bout. If viewed from the right, the wire can rotate counterclockwise, so that the semicircular part can rotate into the region of magnetic field. (a) Calculate the maximum value of the emf induced between the ends of the conductor. V(b) What is the value of the average induced emf for each complete rotation? Consider carefully whether the correct answer is exactly zero, or just a very small number. V(c) How would your answers to parts (a) and (b) change if the magnetic field were allowed to extend a distance R above the axis of rotation? (Select all that apply.) The value in part (a) would increase.The value in part (a) would remain the same.The value in part (a) would decrease.The value in part (b) would increase.The value in part (b) would remain the same.The value in part (b) would decrease. (d) Sketch the emf versus time when the field is as drawn in the figure (e) Sketch the emf versus time when the field is extended as described in part (c)

University Physics Volume 2

18th Edition

ISBN:9781938168161

Author:OpenStax

Publisher:OpenStax

Chapter12: Sources Of Magnetic Fields

Section: Chapter Questions

Problem 47P: A long, solid, cylindrical conductor of radius 3.0 cm carries a current of 50 A distributed...

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In the figure below, a semicircular conductor of radius R = 0.260 m is rotated about the axis AC at a constant rate of 130 rev/min. A uniform magnetic field of magnitude 1.22 T fills the entire region below the axis and is directed out of the page.

In this illustration, a wire extends straight to the right from point A, then curves up and around in a semicircle of radius R. On the right side of the semicircle, the wire continues straight to the right to point C. The wire lies in the plane of the page, in a region of no magnetic field. Directly below the axis A C is a region of uniform magnetic field pointing out of the page, vector B_out. If viewed from the right, the wire can rotate counterclockwise, so that the semicircular part can rotate into the region of magnetic field.

(a) Calculate the maximum value of the emf induced between the ends of the conductor.
V

(b) What is the value of the average induced emf for each complete rotation?

Consider carefully whether the correct answer is exactly zero, or just a very small number. V

(c) How would your answers to parts (a) and (b) change if the magnetic field were allowed to extend a distance R above the axis of rotation? (Select all that apply.)

The value in part (a) would increase.The value in part (a) would remain the same.The value in part (a) would decrease.The value in part (b) would increase.The value in part (b) would remain the same.The value in part (b) would decrease.

(d) Sketch the emf versus time when the field is as drawn in the figure

(e) Sketch the emf versus time when the field is extended as described in part (c)

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