You can use this best Malus Law Calculator to check the malus intensity of light polarization within a fraction of seconds. Just enter the initial intensity and angle of incidence details and press on the calculate button of the free calculator tool to obtain the result easily and quickly.
Malus Law Calculator: This online tool for malus law displays the exact answer along the process to calculate the intensity of the polarized light. The step by step calculation is helpful to learn the concept and solve the different problems in homework and assignments. For the convenience of students, we have also listed the accurate details about what is Malus Law, its formula, steps to find the answer, and how polarization works and many more. Read the further sections to get the solved examples.
Follow the simple steps mentioned below to find the intensity of polarized light.
Malus Law states that the intensity of the polarized light that passes through an analyzer differs as the square of the cosine of the angle between the polarizer and the transmission axes of the analyzer. This law is useful for the quantitative verification of polarized light.
The malcus law formula is given below:
intensity = initial_intensity * cos²θ
Where,
intensity is the output irradiance
initial_intensity is the irradiance of incident light
θ is the angle between the light polarization and the axis of the polarizer
How a Polarizer Work?
The polarizer is a device that allows light to pass only in a certain direction. These are made up of oblong-shaped molecules aligned in the same direction. When the polarization of the incident beam is in the same alignment of orientation, then light is most likely to be absorbed. When the polarization is perpendicular to the long axis, then it is transmitted and direction is the axis of the polarizer. If the angle of polarization is in between, it passes partially and its initial intensity decreases.
Example
Question: Two polaroids A and B are kept with their transmission axes at an angle of 30 degrees with respect to other. If the intensity of the light incident on the system is 5 W/m², find the transmitted intensity of light?
Solution:
Given that
Initial_intensity = 5 W/m²
θ = 30 degrees
Malus Law formula is intensity = initial_intensity * cos²θ
intensity = 5 * cos²(30°)
= 5 * (0.154)²
= 5 * 0.0237
= 0.11
Therefore, the transmitted intensity of light is 0.11 W/m².
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1. What are the applications of Polarized Light?
The applications of polarized light are used in sunglasses to reduce glare, infrared spectroscopy, seismology to study earthquakes, to differentiate between transverse and longitudinal waves, and so on.
2. What is the formula for Malus law?
The malus law deals with the polarization properties of light. It helps to understand the relation between the polarizer analyzer and light intensity. The malus law formula to calculate the intensity of the polarized light is intensity = initial_intensity * cos²θ.
3. What is light polarization?
Light is an electromagnetic wave with oscillating electric and magnetic fields. If the orientation of the light oscillations is constant, then it is linearly polarized. The different methods used to polarize light is polarization by transmission, polarization by scattering, polarization by reflection, polarization by refraction.
4. What is the analyser in Malus Law?
When light falls on the polarizer, it gets polarized. If the light falls on another polaroid which is the analyzer, then it transmits light as per the orientation of the axis with the polarizer. The light intensity transmits through the analyzer is given by Malus law.