In this video, I go over how to find the electric field at each stage of a set of 3 linear polarizers, both in terms of the intensity of the light and the electric field. We use vector projections to find that the output intensity is 1/4 of the intensity after the first polarizer, or 1/8 of the intensity of the input light if it is unpolarized.
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This is part of my series on introductory electromagnetism, where we explore one of the fundamental forces of nature - how your phone charges and communicates with the rest of the world, why you should be afraid of the sun, and the fundamentals of electric and magnetic forces and fields, voltages,