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

2024
Views:

436

Pages:

5
Author:

Jabin F.

# Boundary Cond'n at Wave guide Surfaces: (1) Et = E'' = 0 (2) Bn = B'' = 0 # Transverse electromagnetic (TEM) Signal: Cannot transmit through [wave guide] (doesn't follow boundary conditions) TEM WAVE: (Ez = 0, Bz = 0) ⇒ Can TEM wave can transmit through transmission line? ⇒ Yes ⇒ Wave guide can support transverse electric (TE) or transverse magnetic (TM) waves or both waves. TE Wave Ez = 0 Bz ≠ 0 TM Wave: Bz = 0, Ez ≠ 0 Wave guide can be rectangular, square or circular depending on its cross-section. [Diagrams of circular, square, and rectangular waveguides] Ques. 6 Page-758 emf = ε = ∫(v x B) · dl induced emf ε = ∫(v x B) · dl |E| = vB |E| = (ω/2) * B depend on (l) where l is the variable distance from axis of rotation (option-d) Ques. 7 Page-58 [Diagram of a rectangular waveguide] B = (μ₀I) / (2πx)ŷ x = 2a ε = -∫(∂B/∂t) · ds ε = -(μ₀/2π) * (dI/dt) * ∫(dx/x) ε = -(μ₀/2π) * (dI/dt) * ln(a/2a) ε = (μ₀/2π) * (dI/dt) Φ = ∫∫ B · ds = ∫∫ (μ₀I / 2πr) r dr dz Φ = (μ₀Ia / 2π) ∫₀²π dθ ∫₀ᵃ dz Φ = (μ₀Ia / 2π) * 2π * a Φ = μ₀Ia Ɛ = -dΦ/dt = -(μ₀I/2π) * ∫₀ᵃ dz Ɛ = (μ₀Ia / 2π) * ω * sin(ωt) induced current I = Ɛ/R I = (μ₀Ia / 2πR) * ω * sin(ωt) Amplitude = (μ₀Ia / 2πR) * ω (option-a) Ques. 10 Page-59 B = 0.04 T dr/dt = -0.5 mm/sec r = 2 cm Φ = ∫ B · dS = ∫₀²π ∫₀² B · r dr dθ Ɛ = dΦ/dt = (0.04) * (3.14) * (2x10⁻²) * (d/dt)(2x10⁻²) Ɛ = (0.04) * (3.14) * (4x10⁻⁴) * (-0.5x10⁻³) Ɛ = -0.25 x 10⁻⁵ Volt = -2.5 μV (option-b)