A linearly polarized electromagnetic wave has an average intensity of 274 W/m2.

Question

A linearly polarized electromagnetic wave has an average intensity of 274 W/m2. This wave is directed towards two ideal polarizers (in real polarizers, transmission is also effected by reflection and absorption). Polarizer A is oriented with its transmission axis at an angle of 1 37.3° with the incident electric field. Polarizer B has its axis at an angle of ?2 60.5° with the incident electric field, as shown in the figure. View Along Axis What is the average intensity of the wave after it passes through polarizer Sideview Submit Answer Tries 0/15 What is the average intensity of the wave after it passes through polarizer Submit Answer Tries 0/15

Explanation / Answer

Intensity of linearly polarized wave I1 = 274 W/m^2

Using Malus's law:

when light passes thorugh 1st polarizer, Intensity will be

I2 = I1*(cos A1)^2

A1 = 37.3 deg

I2 = 274*(cos 37.3 deg)^2 = 173.38 W/m^2

Part B

After that when light passes thorugh 2nd polarizer, Intensity will be

I3 = I2*(cos A2)^2

A2 = 60.5 - 37.3 = 23.2 deg

I3 = 173.38*(cos 23.2 deg)^2

I3 = 146.47 W/m^2

Part C

If polarizar are reversed than

I3 = I2*(cos B1)^2*(cos B2)^2

B1 = 60.5 deg

B2 = 23.2 deg

I3 = 274*(cos 60.5 deg)^2*(cos 23.2 deg)^2

I3 = 56.13 W/m^2

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