Problem 6 Three polarizing sheets with parallel planes are centered on a common axis, as shown below. The polarizing axes of the first, second, and third sheets are respectively oriented at angles 0₁ = 10°, 0₂ = 40°, and 03 with respect to the vertical. The incident beam is unpolarized and has intensity I₁ = 600 W/m², while the transmitted beam has intensity I₁ = 135 W/m². -0-0-0 (a) (b) (c) Determine 03. Calculate the intensity of the beam, as well as the amplitude of its magnetic field, after it passes through the second sheet (but before it reaches the third sheet). Suppose the beam in part (b) is cylindrical in shape, and has length 30 cm and diameter 5.0 mm. Find the total energy contained in this beam. (The volume of a cylinder is Jr²L.)

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Problem 6
Three polarizing sheets with parallel planes are centered on a common axis, as shown below. The
polarizing axes of the first, second, and third sheets are respectively oriented at angles 0₁ = 10°,
0₂ = 40°, and 0, with respect to the vertical. The incident beam is unpolarized and has intensity
I₁ = 600 W/m², while the transmitted beam has intensity I₁ = 135 W/m².
2
-0-0
(a)
(b)
(c)
Determine 0₂.
3.
4
Calculate the intensity of the beam, as well as the amplitude of its magnetic field, after it
passes through the second sheet (but before it reaches the third sheet).
Suppose the beam in part (b) is cylindrical in shape, and has length 30 cm and diameter
5.0 mm. Find the total energy contained in this beam. (The volume of a cylinder is
TFL.)
Transcribed Image Text:Problem 6 Three polarizing sheets with parallel planes are centered on a common axis, as shown below. The polarizing axes of the first, second, and third sheets are respectively oriented at angles 0₁ = 10°, 0₂ = 40°, and 0, with respect to the vertical. The incident beam is unpolarized and has intensity I₁ = 600 W/m², while the transmitted beam has intensity I₁ = 135 W/m². 2 -0-0 (a) (b) (c) Determine 0₂. 3. 4 Calculate the intensity of the beam, as well as the amplitude of its magnetic field, after it passes through the second sheet (but before it reaches the third sheet). Suppose the beam in part (b) is cylindrical in shape, and has length 30 cm and diameter 5.0 mm. Find the total energy contained in this beam. (The volume of a cylinder is TFL.)
Expert Solution
Step 1

Given:

The polarizing axes of two sheets oriented with respect to the vertical axis are 

θ1 =100θ2 = 400

The intensity of the incident beam is Ii = 600 W/m2

The intensity of the transmitted beam is If = 135 W/m2

The length of the beam is l = 30 cm

The diameter of the beam is d = 2r = 5 mm

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