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 plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity

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 plane of polarization parallel to the vertical reference direction is incident from the left onto the first disk with intensity Ii = 15.0 units (arbitrary). Calculate the transmitted intensity If when theta 1 = 15.0 degree, theta 2 = 45.0 degree, and theta 3 = 57.0 degree. Hint: Make repeated use of Malus's law. If = units

Explanation / Answer

The equation to use is I = I0cos2

For the first plate

I = 15cos215

I = 13.995 units

For the second plate

I = 13.995 cos230

I = 10.49 units

For the third plate

I = 10.49 cos212

I = 10.04 units

Final transmitted energy is 10.04 units

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