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Chapter 31: Q. 16 (page 901)
a. What is the magnetic field amplitude of an electromagnetic wave whose electric field amplitude is
b. What is the intensity of the wave
a.Magnetic field amplitude of an electromagnetic wave is .
b.Intensity of the wave is.
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The electric field of an electromagnetic wave in a vacuum is , where is inlocalid="1648922287898" andlocalid="1648922295234" is in s. What are the wave's (a) wavelength, (b) frequency, and (c) magnetic field amplitude?
An astronaut has gone outside his space capsule to do some repair work. Unfortunately, he forgot to lock his safety tether in place, and he has drifted away from the capsule. Fortunately, he has a portable laser with fresh batteries that will operate it for . His only chance is to accelerate himself toward the space capsule by firing the laser in the opposite direction. He has a role="math" localid="1649937737036" supply of oxygen. How long will it take him to reach safety?
1. Andre is flying his spaceship to the left through the laboratory magnetic field of FIGURE Q31.1.
a. Does Andre see a magnetic field? If so, in which direction does it point?
b. Does Andre see an electric field? If so, in which direction does it point?
In FIGURE P31.33, a circular loop of radius travels with speed along a charged wire having linear charge density . The wire is at rest in the laboratory frame, and it passes through the center of the loop.
a. What are and at a point on the loop as measured by a scientist in the laboratory? Include both strength and direction.
b. What are the fields and at a point on the loop as measured by a scientist in the frame of the loop?
c. Show that an experimenter in the loop’s frame sees a currentpassing through the center of the loop.
d. What electric and magnetic fields would an experimenter in the loop’s frame calculate at distance r from the current of part c?
e. Show that your fields of parts b and d are the same.
A long, thin superconducting wire carrying a current passes through the center of a thin, -diameter ring. A uniform electric field of increasing strength also passes through the ring, parallel to the wire. The magnetic field through the ring is zero.
. At what rate is the electric field strength increasing?
. Is the electric field in the direction of the current or opposite to the current?
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