SUMMARY
The intensity of transmitted light through two polarizers misaligned by 30° can be calculated using the correct form of Malus' Law: I = I0 * cos(theta)^2. Given an initial intensity (I0) of 3.86 W/m², the transmitted intensity (I) is computed as I = 3.86 * cos(30°)^2, resulting in an intensity of approximately 3.34 W/m². The initial misunderstanding stemmed from the incorrect application of Malus' Law, which requires squaring the cosine of the angle between the light's polarization direction and the polarizer's axis.
PREREQUISITES
- Understanding of Malus' Law in optics
- Basic knowledge of light polarization
- Familiarity with trigonometric functions, specifically cosine
- Ability to perform calculations involving angles and intensity
NEXT STEPS
- Study the derivation and applications of Malus' Law in different optical systems
- Explore the effects of multiple polarizers on light intensity
- Learn about the relationship between light intensity and angle in polarized light
- Investigate practical applications of polarization in photography and LCD technology
USEFUL FOR
Students studying optics, physics educators, and anyone interested in the principles of light polarization and its applications in technology.