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Chapter 29: Q. 44 (page 832)
At what distance on the axis of a current loop is the magnetic field half the strength of the field at the center of the loop? Give your fanswer as a multiple of .
The strenght of the field at the center of the loop as multiple of islocalid="1651061635560" .
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significant figures, what are the cyclotron frequencies in a magnetic field of the ions (a), (b)and (c)? The atomic masses are shown in the table; the mass of the missing electron is less than and is not relevant at this level of precision. Although both have a nominal molecular mass of , they are easily distinguished by virtue of their slightly different cyclotron frequencies. Use the following constants:
The coaxial cable shown in FIGURE P29.56 consists of a solid inner conductor of radius surrounded by a hollow, very thin outer conductor of radius . The two carry equal currents I, but in opposite directions. The current density is uniformly distributed over each conductor.
a. Find expressions for three magnetic fields: within the inner conductor, in the space between the conductors, and outside the outer conductor.
b. Draw a graph of B versus r from to if
The south pole of a bar magnet is brought toward the current loop of FIGURE Q29.11. Does the bar magnet attract, repel, or have no effect on the loop? Explain.
You have a horizontal cathode-ray tube (CRT) for which the controls have been adjusted such that the electron beam should make a single spot of light exactly in the center of the screen. You observe, however, that the spot is deflected to the right. It is possible that the CRT is broken. But as a clever scientist, you realize that your laboratory might be in either an electric or a magnetic field. Assuming that you do not have a compass, any magnets, or any charged rods, how can you use the CRT itself to determine whether the CRT is broken, is in an electric field, or is in a magnetic field? You cannot remove the CRT from the room.
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鈥攑roducing gamma rays鈥攊f 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?
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