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Levi Tate

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## Homework Statement

What is the most light that can be transmitted through 3 linear polarizers if you start with light polarized in the (i unit vector) direction and end with light polarized in the (j unit vector) direction for theoretically perfect polarizers

**2. Homework Equations and attempt at solution.**

Well I reason since the light is already polarized, I need to use the cosine squared law

I=IoCos^2∅ Where I is the intensity after going through a polarizer and Io is the initial intensity.

So the light in already polarized through the i direction, here in what I am thinking, If I send this light through 2 polarizers who's filters are parallel with the light in the i direction, then then angle is zero and all the light is retained.

But when I send it through a third filter in the j direction, as required in the problem, that is perpendicular to i of course, then no light emerges.

I know these are theoretically perfect polarizers but my result seems counterintuitive.

Is this right?

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