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Chapter 29: Q. 4 (page 829)
What is the current direction in the wire of FIGURE Q29.4? Explain.
Current is flowing toward out of the paper.
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The magnetic field at the center of diameter loop is .
a. What is the current in the loop?
b. A long straight wire carries the same current you found in part a. At what distance from the wire is the magnetic field?
Find an expression for the magnetic field strength at the center (point P) of the circular arc in
localid="1649251364548"
The Hall voltage across a conductor in amagnetic field is. When used with the same current in a different magnetic field, the voltage across the conductor is. What is the strength of the second field?
What is the net force (magnitude and direction) on each wire in n FIGURE EX29.36?
A proton in a cyclotron gains of kinetic energy per revolution, where is the potential between the dees. Although the energy gain comes in small pulses, the proton makes so many revolutions that it is reasonable to model the energy as increasing at the constant rate , where is the period of the cyclotron motion. This is power input because it is a rate of increase of energy.
a. Find an expression for , the radius of a proton's orbit in a cyclotron, in terms of . Assume that at .
Hint:Start by finding an expression for the proton's kinetic energy in terms of .
b. A relatively small cyclotron is in diameter, uses a magnetic field, and has a potential difference between the dees. What is the power input to a proton, in ?
c. How long does it take a proton to spiral from the center out to the edge?
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