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

2024
Views:

356

Pages:

5
Author:

Jabin F.

Transmission Line: Used to transmit the signal from transmitter to receiver or vice-versa Two wire line Co-axial line Two Wire Line: d = diameter of each wire D = distance between the wires Co-axial Line: Cross sectional view d = diameter of inner conductor D = diameter of outer dielectric Equivalent Circuit of Transmission Line: L, R, C, G (in series) Inductance per unit length (H/m): L Resistance per unit length (Ω/m): R Capacitance per unit length (F/m): C Conductance per unit length (S/m): G Two-wire Line: Inductance per unit length: L = μ/(π * ln(2D/d)) H/m Capacitance per unit length: C = π * ε / ln(2D/d) F/m ε, μ → Permittivity and permeability of dielectric Co-axial Cable: Inductance per unit length: L = μ/(2π * ln(D/d)) H/m Capacitance per unit length: C = 2π * ε / ln(D/d) F/m Phase velocity on transmission line: vp = 1 / √(LC) LC = μ * ε (same for both two-wire line and co-axial cable) Characteristic Impedance (Zo): Z₀ = √((R + jωL) / (G + jωC)) Limiting Cases: Loss-less transmission line: Perfect conductor (R = 0), Perfect dielectric (G = 0) Z₀ = √(L/C) Distortion-less transmission line: R/G = L/C Z₀ = (R + jωL) / (G + jωC) Characteristic Impedance (Zo): Z₀ = √((R + jωL) / (G + jωC)) Limiting Cases: Loss-less transmission line: Perfect conductor (R = 0), Perfect dielectric (G = 0) Z₀ = √(L/C) Distortion-less transmission line: R/G = L/C Z₀ = (R + jωL) / (G + jωC)