Final answer:
The transmitted intensity i1 can be calculated using the formula i1 = i0 * cos^2(θta - θ0), where i0 is the initial intensity, θ0 is the angle of the first polarizing filter, and θta is the angle of the second polarizing filter. Substituting the given values, we can find that the transmitted intensity i1 is approximately 18.89 W/m^2.
Step-by-step explanation:
To calculate the transmitted intensity, we need to use the formula:
i1 = i0 * cos^2(θta - θ0)
Substituting the given values:
i1 = 20.0 * cos^2(40.0 - 25.0) = 20.0 * cos^2(15.0)
Using a scientific calculator, we can evaluate the cosine squared term to get:
i1 ≈ 20.0 * 0.94448 ≈ 18.89 W/m^2