9. A bar of mass m and resistance R slides without friction in a horizontal plane, moving on parallel rails as shown in Figure P30.49. The rails are separated by a distance d. A battery that maintains a constant emf ɛ is connected between the rails, and a constant magnetic field B is directed perpendicularly out of the page. Assuming the bar starts from rest at time t= 0, show that at time t it moves with a speed

9. A bar of mass m and resistance R slides without friction in a horizontal plane, moving on parallel rails as shown in Figure P30.49. The rails are separated by a distance d. A battery that maintains a constant emf ɛ is connected between the rails, and a constant magnetic field B is directed perpendicularly out of the page. Assuming the bar starts from rest at time t= 0, show that at time t it moves with a speed

Physics for Scientists and Engineers with Modern Physics

10th Edition

ISBN:9781337553292

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter30: Faraday's Law

Section: Chapter Questions

Problem 49CP

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Concept explainers

Electromagnets

The word "electromagnet" is composed of two words, ‘electro’ and ‘magnet’. It is a type of magnet in which an electric current helps in the generation of a magnetic field. Electromagnets usually consist of two major parts, wire and a coil around which the wire is wound. This is called a solenoid. When an electric current is allowed to pass through the coiled wire, the electric current produces a magnetic field. This magnetic field is present only when current is passing through the wire.

Question

49. A bar of mass m and resistance R slides without friction in a horizontal plane, moving on
parallel rails as shown in Figure P30.49. The rails are separated by a distance d. A battery
that maintains a constant emf ɛ is connected between the rails, and a constant magnetic field
B is directed perpendicularly out of the page. Assuming the bar starts from rest at time t = 0,
show that at time t it moves with a speed
- B²d²t/mR
U =
Bd
1-e
'out
Figure P30.49

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Consider the system pictured in Figure P28.26. A 15.0-cm horizontal wire of mass 15.0 g is placed between two thin, vertical conductors, and a uniform magnetic field acts perpendicular to the page. The wire is free to move vertically without friction on the two vertical conductors. When a 5.00-A current is directed as shown in the figure, the horizontal wire moves upward at constant velocity in the presence of gravity. (a) What forces act on the horizontal wire, and (b) under what condition is the wire able to move upward at constant velocity? (c) Find the magnitude and direction of the minimum magnetic Field required to move the wire at constant speed. (d) What happens if the magnetic field exceeds this minimum value? Figure P28.26
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