How Does the Angle of Polarizing Sheets Affect Transmitted Light Intensity?

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The discussion revolves around calculating the intensity of transmitted light through a system of polarizing sheets. When unpolarized light of intensity I0 passes through the first polarizer, its intensity is reduced to 0.5I0. The introduction of a third polarizing sheet at 46° to the first alters the intensity further, requiring the use of the equation I = I0 cos²θ for accurate calculations. The confusion arises regarding the impact of the middle sheet on the overall intensity, particularly when it is removed, which results in zero intensity due to the orthogonal positioning of the first and second sheets. The thread emphasizes breaking down the problem into manageable steps to clarify the effects of each polarizer on light intensity.
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Homework Statement



Two sheets of polarizing material are placed with their transmission axes at right angles to each other. A third polarizing sheet is placed between them with its transmission axis at 46° to the axis of the first one.

(a) If unpolarized light of intensity I0 is incident on the system, what is the intensity of the transmitted light?
X Io

(b) What is the intensity of the transmitted light when the middle sheet is removed?
X Io



Homework Equations



I=.5Io
I=Iocos2theta

The Attempt at a Solution



I am confused on what they want! (the answers are in X Io
 
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so i got b is zero(which is correct). is A the same?
 
No, A is different.

Break it up into single steps. You already know what the first polarizer does to intensity. Each addition polarizer transmission depends on it's angle relative to the previous polarizer.
 
i tried every thing and i can't figure it out. is there any more hints
 
Step 1:
What is the intensity after the 1st polarizer?
 
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