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b.) Calculate the transmitted intensity after the second polarizer when 2 = 38.1

ID: 1556148 • Letter: B

Question

b.) Calculate the transmitted intensity after the second polarizer when 2 = 38.1°. Do not enter unit

c.) Calculate the transmitted intensity after the third polarizer when 3 = 61.7°. Do not enter units.

PART B

For each of the three sheets of polarizing material shown in the figure below, the orientation of the transmission axis is labeled relative to the vertical.

d.) The incident beam of light is unpolarized and has an intensity of 1190 W/m2. What is the intensity of the beam transmitted through the three sheets when 1 = 15.8°, 2 = 52.9° and 3 = 121°?

ofV FR

Explanation / Answer

Apply Malus law to solve the problem

I1 = Io cos^2 theta

from the first sheet

I1 = 14.2 cos ^2 19.1

=12.67

from the second sheet

I 2= I1 cos^2 theta

I2 = 12.67 cos ^2 (38.1-19.1)

=11.32

from the third sheet

I3 = I2 cos ^2 theta

I3 = 11.32 cos^2 (61.7-38.1)

=9.5 units

(d)

from the first sheet

I1 = 1190 cos ^2 15.8

=1101.77 W/m^2

from the second sheet

I 2= I1 cos^2 theta

I2 = 1101.77 cos ^2 (52.9-15.8)

=700.88

from the third sheet

I3 = I2 cos ^2 theta

I3 = 700.88 cos^2 (121-52.9)

= 97.5W/m^2