Contents
What are the equations for a transmission line?
Derivation of Wave Equations Combining the two equations leads to: Second-order differential equation complex propagation constant attenuation constant Phase constant Transmission Line Equation First Order Coupled Equations!
What is the relative permittivity of a transmission line?
“ Assume Lossless TL; “ Relative permittivity is 4 “ Cʼ=10 pF/m Find phase velocity Find Lʼ Find Zo Notes-1 The Big Idea…. Zin ZL V+o Zo What is the voltage/current magnitude at different points of the line in the presence of load??
How are electric and magnetic fields related to transmission lines?
TEM (Transverse Electromagnetic): Electric and magnetic fields are orthogonal to one another, and both are orthogonal to direction of propagation Example of TEM Mode Electric Field Eis radial Magnetic Field His azimuthal Propagation is into the page Transmission Line Model Transmission-Line Equations Kirchhoff Voltage Law:
What is the propagation constant of a transmission line?
Propagation Constant (function of frequency) Impedance (function of frequency) # Lossy or Losless “ If lossless (low ohmic losses) Very high conductivity for the insulator Negligible conductivity for the dielectric Lossless Transmission Line If Then: Non-dispersive line: All frequency components have the same speed!
Which is an example of a TEM transmission line?
At t= 0, and for f= 1 kHz , if: (1) l = 5 cm: (2) But if l= 20 km: Dispersion and Attenuation Types of Transmission Modes TEM (Transverse Electromagnetic): Electric and magnetic fields are orthogonal to one another, and both are orthogonal to direction of propagation Example of TEM Mode Electric Field Eis radial
What are the characteristics of a transmission line?
Transmission Line Characteristics “ Line characterization Propagation Constant (function of frequency) Impedance (function of frequency) # Lossy or Losless “ If lossless (low ohmic losses) Very high conductivity for the insulator Negligible conductivity for the dielectric Lossless Transmission Line If Then: