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1. Consider the following representation of an electromagnetic wave. Note the orientation of the axes (the +z
axis points to the right). For point A, x = y = 0. For points B and E, x = 0. For points C and D, y = 0.
(a) Is it possible that this wave is traveling to the right? If so, what are the directions of the
electric eld and the magnetic eld at point A? If not, why not?
(b) Is it possible that this wave is traveling to the left? If so, what are the directions of the electric
field and the magnetic field at point A? If not, why not?
(c) For each direction in which is was possible for this wave to be traveling, will the wave be
transmitted or absorbed when it hits a polarizing filter whose axis is oriented along the x-axis? Explain
briefly.
(d) Unpolarized light traveling to the right is incident on a polarizing filter whose axis is oriented
along the x-axis. The transmitted light hits a mirror and reflects back to the left. How, if at all, is the reflected wave (traveling toward the filter from the right) diferent from the incident wave (traveling toward the filter from the left)? Will the reflected wave be transmitted when it reaches the polarizing filter? Explain brielfy.
(e) Rank the magnitude of the electric and magnetic elds at the indicated points. Explain briefly.
Consider the following representation of an electromagnetic wave. Note the orientation of the axes (the +z axis points to the right). For point A, x = y = 0. For points B and E, x = 0. For points C and D, y = 0. Is it possible that this wave is traveling to the right? If so, what are the directions of the electric eld and the magnetic field at point A? If not, why not? Is it possible that this wave is traveling to the left? If so, what are the directions of the electric field and the magnetic field at point A? If not, why not? For each direction in which is was possible for this wave to be traveling, will the wave be transmitted or absorbed when it hits a polarizing filter whose axis is oriented along the x-axis? Explain briefly. Unpolarized light traveling to the right is incident on a polarizing filter whose axis is oriented along the x-axis. The transmitted light hits a mirror and reflects back to the left. How, if at all, is the reflected wave (traveling toward the filter from the right) different from the incident wave (traveling toward the filter from the left)? Will the reflected wave be transmitted when it reaches the polarizing filter? Explain briefly. Rank the magnitude of the electric and magnetic fields at the indicated points. Explain briefly.Explanation / Answer
a)
Yes it is traveling to the right.
At point A, direction of the electric field is +x and direction of the magnetic field is +y.
b)
No, direction of the wave motion is parallel to the direction of "E x B" (E cross B). And here direction of the ExB is to the +z direction.
c)
The wave will be transmitted because the angle between electric field and the polarizer axis is 0 degrees.
d)
The reflected wave will be transmitted when it reaches the polarizing filter. We know that the intensity of the light passed
through an polarizer is one-half the intensity of unpolarized light. And final direction of the electric field will be "x".
e)
point A: E>B
point B: E=B=0
point C:E>B
point D: E>B
point E: B>E
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