A 200 mW horizontally polarized laser beam

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A 200 mW horizontally polarized laser beam passes through a polarizing filter at a 25-degree angle from vertical. The power of the transmitted beam can be calculated using the Law of Malus, which states that the transmitted intensity is proportional to the cosine of the angle between the light's polarization direction and the filter's axis. The correct calculation involves using the angle of 65 degrees (90 - 25) to find the transmitted power, resulting in approximately 84.5 mW. Participants emphasize not to confuse electric field amplitude with intensity and to carefully apply the Law of Malus for accurate results. Understanding these principles is crucial for solving the problem correctly.
jlmessick88
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Homework Statement


A 200 mW horizontally polarized laser beam passes through a polarizing filter whose axis is 25 degrees from vertical.

What is the power of the laser beam as it emerges from the filter?
P=mW

Homework Equations



E (transmitted) = E (incident)cos()

The Attempt at a Solution


200= E(incident) cos (25)
E(incident) = 2.206*10^2

Not sure if this is correct..this is my last attempt at the question, need to know if I'm approaching this correctly at all??
Thanks!
 
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jlmessick88 said:

The Attempt at a Solution


200= E(incident) cos (25)
E(incident) = 2.206*10^2
(1) Don't mix up the amplitude (E) with the intensity (what you want), which is governed by the Law of Malus. See: http://hyperphysics.phy-astr.gsu.edu/hbase/phyopt/polcross.html#c3"
(2) The incident power is given; that's what the 200 mW refers to.
(3) Note that the incident wave is horizontally polarized, while the angle given is with respect to the vertical.
 
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so instead, if i understand you...it should be 200*cos(25) = 1.81*10^2?
 
jlmessick88 said:
so instead, if i understand you...it should be 200*cos(25) = 1.81*10^2?
No, but you're getting closer. Read all three of my points, not just the second one.
 
so in regards to #3...instead of being 25 degrees...it would be 65 degrees?? if I'm picturing this correctly
 
jlmessick88 said:
so in regards to #3...instead of being 25 degrees...it would be 65 degrees?? if I'm picturing this correctly
Yes, that's what I would say.
 
200*cos(65) = 84.5 =/= An answer Mastering Physics will mark as right.
 
See Doc Al's link to the Law of Malus in Post #2. What does the link say about the transmitted intensity? (Don't confuse it with the electric field.)
 

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