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Chapter 31: Q. 56 (page 903)
Unpolarized light of intensity is incident on three polarizing filters. The axis of the first is vertical, that of the second is from vertical, and that of the third is horizontal. What light intensity emerges from the third filter
Light intensity emerges from the third filter is.
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The intensity of sunlight reaching the earth is.
a. What is the power output of the sun
b. What is the intensity of sunlight reaching Mars
What are the electric field strength and direction at the position of the electron in FIGURE
A rocket cruises past a laboratory at in the positive x-direction just as a proton is launched with velocity (in the laboratory frame) . What are the proton鈥檚 speed and its angle from the y-axis in (a) the laboratory frame and (b) the rocket frame?
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鈥檚 frame sees a currentpassing through the center of the loop.
d. What electric and magnetic fields would an experimenter in the loop鈥檚 frame calculate at distance r from the current of part c?
e. Show that your fields of parts b and d are the same.
Consider current passing through a resistor of radius , length , and resistance .
a. Determine the electric and magnetic fields at the surface of the resistor. Assume that the electric field is uniform throughout, including at the surface.
b. Determine the strength and direction of the Poynting vector at the surface of the resistor.
c. Show that the flux of the Poynting vector (i.e., the integral of ) over the surface of the resistor is . Then give an interpretation of this result.
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