If the angle between the polarizer and the analyzer is 30 degrees, what light intensity would be transmitted through the polarizer and analyzer, respectively?
I know the equationg we're supposed to use is: I= Io*cos2(theta), but how do I find the Io? And would the answer be different for the polarizer and the analyzer?
To find the light intensity transmitted through the polarizer and analyzer, respectively, we need to calculate the initial light intensity, denoted as Io, according to the equation I = Io * cos^2(theta), where I represents the transmitted light intensity and theta is the angle between the polarizer and analyzer.
To find the initial light intensity, Io, we can use the following steps:
1. Determine the incoming light intensity, which is the original intensity of the light passing through the polarizer before reaching the analyzer. This value is not given in the question, so we will assume it is a constant value.
2. Substitute the given angle between the polarizer and analyzer, which is 30 degrees, into the equation I = Io * cos^2(theta).
3. Calculate the light intensity transmitted through the polarizer by substituting the angle value (30 degrees) into the equation and solving for I.
4. Calculate the light intensity transmitted through the analyzer using the same equation but substituting the complementary angle to the given 30 degrees (i.e., 90 - 30 = 60 degrees) and solving for I.
It is important to note that the transmitted light intensity through the polarizer and analyzer can have different values based on the orientation of the polarizer and analyzer relative to the incoming light and each other.