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please explain to my how to find the angles in these types of questions. I know

ID: 2153302 • Letter: P

Question

please explain to my how to find the angles in these types of questions. I know how to do the question if you can expain to me how to get the angles!!! Thanks! Anonymous asked The drawing shows three polarizer/analyzer pairs. The incident light beam for each pair is unpolarized and has the same average intensity of 50 W/m2. Find the average intensity of the transmitted beam for each of the three cases (A, B, and C) shown in the drawing.
a) polarizer/analyzer "disk one" is 30 degrees and "disk two" is 30 degrees
b) polarizer/ analyzer "disk one" is 30 degrees and "disk two" is 60 degrees
c) ploarizer/analyzer "disk one" is 60 degrees and "disk two" is 30 degrees
sorry I couldn't get the picture to post.
also just to give you an idea of some of what i was thinking: I took 360 degrees - 90 degrees and got 270 degrees for the number C). However that theory isn't working for all of these :( cuz' I thought oh welltl there is 360 degrees in a circle. Grrrr!!! Please explain a couple different ways, so I have options about how to think this through. thanks.

Explanation / Answer

so when unpolarized you always lose half going through the first polarizer and adopt that polarization
after that you lose cos()^2

a) so I = 50 * 0.5 (for first polarizer) * cos( 30 - 30)^2 = 25

b) so I = 50 * 0.5 * cos (60-30)^2 = 18.75

c)so I = 50 * 0.5 * cos (30-60)^2 = 18.75