Problem 7.7 A metal bar of mass m slides frictionlessly on two parallel conducting rails a distance / apart (Fig. 7.17). A resistor R is connected across the rails, and a uniform magnetic field B, pointing into the page, fills the entire region. 7 See, for example, W. M. Saslow, Am. J. Phys., 60, 693 (1992). 7.1 Electromotive Force R ww m บ 311 FIGURE 7.17 (a) If the bar moves to the right at speed u, what is the current in the resistor? In what direction does it flow? (b) What is the magnetic force on the bar? In what direction? (c) If the bar starts out with speed vo at time t = 0, and is left to slide, what is its speed at a later time t? (d) The initial kinetic energy of the bar was, of course, 1/2mvo². Check that the en- ergy delivered to the resistor is exactly 1½-mvo².

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Chapter12: Sources Of Magnetic Fields
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Problem 7.7 A metal bar of mass m slides frictionlessly on two parallel conducting
rails a distance / apart (Fig. 7.17). A resistor R is connected across the rails, and a
uniform magnetic field B, pointing into the page, fills the entire region.
7 See, for example, W. M. Saslow, Am. J. Phys., 60, 693 (1992).
7.1 Electromotive Force
R
ww
m
บ
311
FIGURE 7.17
(a) If the bar moves to the right at speed u, what is the current in the resistor? In
what direction does it flow?
(b) What is the magnetic force on the bar? In what direction?
(c) If the bar starts out with speed vo at time t = 0, and is left to slide, what is its
speed at a later time t?
(d) The initial kinetic energy of the bar was, of course, 1/2mvo². Check that the en-
ergy delivered to the resistor is exactly 1½-mvo².
Transcribed Image Text:Problem 7.7 A metal bar of mass m slides frictionlessly on two parallel conducting rails a distance / apart (Fig. 7.17). A resistor R is connected across the rails, and a uniform magnetic field B, pointing into the page, fills the entire region. 7 See, for example, W. M. Saslow, Am. J. Phys., 60, 693 (1992). 7.1 Electromotive Force R ww m บ 311 FIGURE 7.17 (a) If the bar moves to the right at speed u, what is the current in the resistor? In what direction does it flow? (b) What is the magnetic force on the bar? In what direction? (c) If the bar starts out with speed vo at time t = 0, and is left to slide, what is its speed at a later time t? (d) The initial kinetic energy of the bar was, of course, 1/2mvo². Check that the en- ergy delivered to the resistor is exactly 1½-mvo².
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