ACTIVITY: Calculate the following problems using Malus' Law. 1. A beam of unpolarized light with an intensity of 75 W/m² passes through two polarizing filters that are 55° with respect to each other. What is the intensity of light that emerges through each filter? 2. The angle between the axes of two polarizing filters is 45°. By how much does the second filter reduce the intensity of the light coming through the first when the intensity of the unpolarized light that passed through them is 110 W/m2?
ACTIVITY: Calculate the following problems using Malus' Law. 1. A beam of unpolarized light with an intensity of 75 W/m² passes through two polarizing filters that are 55° with respect to each other. What is the intensity of light that emerges through each filter? 2. The angle between the axes of two polarizing filters is 45°. By how much does the second filter reduce the intensity of the light coming through the first when the intensity of the unpolarized light that passed through them is 110 W/m2?
Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Katz, Debora M.
Chapter34: Maxwell’s Equations And Electromagnetic Waves
Section: Chapter Questions
Problem 63PQ
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Question
![7 Axis
Sample Problem:
An unpolarized light with an intensity of 100 W/m²
passes through two polarizing filters that are
oriented at an angle of 40° to each other. What is
the intensity of the light that emerges from each
7 Axis
Unpolarized light
other?
Polarized light
Given:
Solution:
lo = 100 W/m² l1= ½ lo
4 = ½ (100)
1 = 50 W/m?
I2 = 1ocos²0
I2 = (50) cos? (40)
= (50)(0.77)2
= (50)(0.59)
12 = 29.5 W/m2
Polarizer
Analyzer
e = 40°
Figure 1. When unpolarized light is incident on the first
polarizer the intensity of the transmitted light is exactly
half (50%) no matter how the polarizing axis is oriented.
The brightness of the polarized light decreases as the
angle, e, increases between the transmission axis of the
second polarizer and the plane of polarization of the light.
ACTIVITY: Calculate the following problems using Malus' Law.
1. A beam of unpolarized light with an intensity of 75 W/m² passes through two polarizing filters that are
55° with respect to each other. What is the intensity of light that emerges through each filter?
2. The angle between the axes of two polarizing filters is 45°. By how much does the second filter reduce
the intensity of the light coming through the first when the intensity of the unpolarized light that passed
through them is 110 W/m2?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8b2aaf99-2b4f-4cea-90f9-8b4c3d884deb%2F64705bf8-19ef-4c24-8de1-646a5732652b%2F1rkonu1_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7 Axis
Sample Problem:
An unpolarized light with an intensity of 100 W/m²
passes through two polarizing filters that are
oriented at an angle of 40° to each other. What is
the intensity of the light that emerges from each
7 Axis
Unpolarized light
other?
Polarized light
Given:
Solution:
lo = 100 W/m² l1= ½ lo
4 = ½ (100)
1 = 50 W/m?
I2 = 1ocos²0
I2 = (50) cos? (40)
= (50)(0.77)2
= (50)(0.59)
12 = 29.5 W/m2
Polarizer
Analyzer
e = 40°
Figure 1. When unpolarized light is incident on the first
polarizer the intensity of the transmitted light is exactly
half (50%) no matter how the polarizing axis is oriented.
The brightness of the polarized light decreases as the
angle, e, increases between the transmission axis of the
second polarizer and the plane of polarization of the light.
ACTIVITY: Calculate the following problems using Malus' Law.
1. A beam of unpolarized light with an intensity of 75 W/m² passes through two polarizing filters that are
55° with respect to each other. What is the intensity of light that emerges through each filter?
2. The angle between the axes of two polarizing filters is 45°. By how much does the second filter reduce
the intensity of the light coming through the first when the intensity of the unpolarized light that passed
through them is 110 W/m2?
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