University:
Santa Fe College
Course:
ETS 2527C | Electromechanical Components and Mechanisms
Academic year:

2024
Views:

249

Pages:

5
Author:

Jabin F.

Section 1 Heading: #Plane Polarized (P.P.) Wave Definition: E-field has only one direction at a given point of time or space. Diagram: A wave with electric field vector E oscillating along the y-axis. Notation: (P.P.) along y-direction, (P.P.) perpendicular to y-axis Section 2 Reference: Question 6, Page-81 Diagram: Three polarizers with transmission axes at angles θ1, θ2, and θ3. Equations: I1 = I0 I2 = (I0/2) * cos^2(θ) I3 = (I0/2) * cos^2(θ) * cos^2(90 - θ) I3 = (I0/2) * (cosθ * sinθ)^2 I3 = (I0/4) * sin^2(2θ) Section 1 Reference: Question 18, Page-83 Diagram: Two polarizers (P1 and P2) with a detector. Equation: I = (I0/2) * cos^2(θ) Explanation: θ = ωt is the angle between the incident electric field and the pass axis of P2. Graph: A plot of I vs. ωt, showing a sinusoidal wave. Section 2 Calculation: ωrot = 20π Conclusion: frot = ωrot / (2π) = 10 Hz Statement: Intensity becomes maximum 20 times during one cycle of rotation. Final conclusion: Rotation frequency (frot) is double the linear frequency. Section 1 Equation: I1 = I0 / 2 Equation: I2 = (I0 / 2) * cos^2(θ) Equation: I3 = (I0 / 2) * cos(ωt) * cos(90 - ωt) Simplification: I3 = (I0 / 8) * sin^2(4ωt) Section 2 Equation: cos(2θ) = 1 - 2sin^2(θ) Derivation: sin^2(θ) = (1 - cos(2θ)) / 2 Substitution: sin^2(4ωt) = (1 - cos(8ωt)) / 2