Three polarizing plates whose planes are parallel are centered on a common axis.

Question

Three polarizing plates whose planes are parallel are centered on a common axis. The directions of the transmission axes relative to the common vertical direction are shown in the figure below. A linearly polarized beam of light with the plane of polarization parallel to the vertical reference direction is incident from the left on the first disk with intensity I_i = 10.6 units (arbitrary). Calculate the transmitted intensity after the first polarizer when theta_1 = 21.1 degree. Do not enter units. Calculate the transmitted intensity after the second polarizer when theta_2 = 41.6 degree. Do not enter units. Calculate the transmitted intensity after the third polarizer when theta_3 = 60.6 degree. Do not enter units.

Explanation / Answer

My Malus law,

I1=Ii*cos21 = 10.6*cos^2(21.1) = 9.23

I2=I1*cos2 = I1*cos2 (2-1) = 9.23*cos^2(41.6-21.1) = 8.1

If=I2* cos2 = I1*cos2 (3-2) = 8.1*cos^2(60.6-41.6) = 7.9

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