Chapter 29: Q. 20 (page 831)
What is the line integral of between points i and f in FIGURE EX29.20?
The magnetic field integral is
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What is the line integral of between points i and f in FIGURE EX29.21?
A Hall-effect probe to measure magnetic field strengths needs to be calibrated in a known magnetic field. Although it is not easy to do, magnetic fields can be precisely measured by measuring the cyclotron frequency of protons. A testing laboratory adjusts a magnetic field until the proton's cyclotron frequency is . At this field strength, the Hall voltage on the probe iswhen the current through the probe is. Later, when an unknown magnetic field is measured, the Hall voltage at the same current is. What is the strength of this magnetic field?
What is the initial direction of deflection for the charged particles entering the magnetic fields shown in FIGURE
An antiproton is identical to a proton except it has the opposite charge, -e. To study antiprotons, they must be confined in an ultrahigh vacuum because they will annihilate—producing gamma rays—if they come into contact with the protons of ordinary matter. One way of confining antiprotons is to keep them in a magnetic field. Suppose that antiprotons are created with a speed of and then trapped in a magnetic field. What minimum diameter must the vacuum chamber have to allow these antiprotons to circulate without touching the walls?
What are the strength and direction of the magnetic field at the center of the loop in ?
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