2. A metal bar with length L, mass m, and resistance R is placed on frictionless metal rails that are inclined at an angle ø above the horizontal. The rails have negligible resistance. A uniform magnetic field of magnitude B is directed downward as shown in the figure. The bar is released from rest and slides down the B b rails. a. Is the direction of the current induced in the bar from a to b or from b to a? Make sure to explain your answer. b. What is the terminal speed of the bar? c. What is the induced current in the bar when the terminal speed has been reached? d. After the terminal speed has been reached, at what rate is electrical energy being converted to thermal energy in the resistance of the bar? e. After the terminal speed has been reached, at what rate is work being done on the bar by gravity? How does this answer compare to your answer in part (d)?

2. A metal bar with length L, mass m, and resistance R is placed on frictionless metal rails that are inclined at an angle ø above the horizontal. The rails have negligible resistance. A uniform magnetic field of magnitude B is directed downward as shown in the figure. The bar is released from rest and slides down the B b rails. a. Is the direction of the current induced in the bar from a to b or from b to a? Make sure to explain your answer. b. What is the terminal speed of the bar? c. What is the induced current in the bar when the terminal speed has been reached? d. After the terminal speed has been reached, at what rate is electrical energy being converted to thermal energy in the resistance of the bar? e. After the terminal speed has been reached, at what rate is work being done on the bar by gravity? How does this answer compare to your answer in part (d)?

Physics for Scientists and Engineers, Technology Update (No access codes included)

9th Edition

ISBN:9781305116399

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter30: Sources Of The Magnetic Field

Section: Chapter Questions

Problem 30.58AP: A circular coil of five turns and a diameter of 30.0 cm is oriented in a vertical plane with its...

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A particle’s path is bent when it passes through a region of non-zero magnetic field although its speed remains unchanged. This is very useful for “beam steering’’ in particle accelerators. Consider a proton of speed 4106m/s entering a region of uniform magnetic field 0.2 T over a 5-cm-wide region. Magnetic field is perpendicular to the velocity of the particle. By how much angle will the path of the proton be bent? (Hint: the particle comes out tangent to a circle.
(a) A 0.750-m-long section of cable carrying current to a car starter motor makes an angle of GOP with Earth's 5.5105T field. What is the current when tire wire experiences a farce of 7.010N? (b) If you run the wire between the poles of a strong horseshoe magnet, subjecting 5.00 cm of it to a 1.75-T field, what force is exerted on this segment of wire?
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A 25-cm nod moves at 5.0 m/s in a plane perpendicular to a magnetic field of strength 0.25 T. The rod, velocity vector, and magnetic field vector are mutually perpendicular, as indicated in tire accompanying figure. Calculate (a) the magnetic force on an electron in tire rod, (b) the electric field in the rod, and (c) the potential difference between the ends of the rod. (d) What is the speed of the rod if the potential difference is 1.0 V?
A circular loop of wire is held in a uniform magnetic field, with the plane of the loop perpendicular to the field lines. Which of the following will not cause a current to be induced in the loop? (a) crushing the loop (b) rotating the loop about an axis perpendicular to the field lines (c) keeping the orientation of the loop fixed and moving it along the field lines (d) pulling the loop out of the field
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A 0.50-kg copper sheet drops through a uniform horizontal magnetic field of 1.5 T, and it reaches a terminal velocity of 2.0 m's. (a) What is the net map,-, eh: force on the sheet after it reaches terminal velocity? (b) Describe the mechanism responsible for this force, (c) How much power is dissipated as Joule heating while the sheet moves at terminal velocity?
(a) A 200Turn circular loop of radius 50.0 cm is vertical, with its axis on an east-west line. A current of 100 A circulates clockwise in the loop when viewed from the east. The Earth’s field here is due norm, parallel to me ground, with a strength of 3.00105T. What are 1he direction and magnitude of the torque on the loop? (b) Does this device have any practical applications as a motor?
Two long, parallel wires each carry the same current I in the same direction (Fig. OQ30.4). Is the total magnetic field at the point P midway between the wires (a) zero, (b) directed into the page, (c) directed out of the page, (d) directed to the left, or (e) directed to the right?
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A circular coil of five turns and a diameter of 30.0 cm is oriented in a vertical plane with its axis perpendicular to the horizontal component of the Earths magnetic field. A horizontal compass placed at the coils center is made to deflect 45.0 from magnetic north by a current of 0.600 A in the coil. (a) What is the horizontal component of the Earths magnetic field? (b) The current in the coil is switched off. A dip needle is a magnetic compass mounted so that it can rotate in a vertical north-south plane. At this location, a dip needle makes an angle of 13.0s from the vertical. What is the total magnitude of the Earths magnetic field at this location?