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Transmission lines
1. Transmission Lines and Equivalent
Circuits
By
Maryam Liaqat
Federal University of Pernambuc(UFPE), Recife, Brazil
2. Contornos
Elemento Teoria do Circuito
Regra Kirchoff
Circuito Equivalente para linhas de trasmissão
Análisa linhas de Transmissão
Linhas de transmissão sem perdas plano paralales
Reflxão sobre a perda menos linhas encerrada
Casos especiais denúncia
3. Elementos Agrupados
Resistancia
Capacitor
Indutor
Elemento Teoria do Circuito
• Electric effect happens instantaniously throughout the Circuit
• Net Charge of Circuit is null
• Megnatic Coupling among lumped components is negligible
5. Equivalent Circuit for Transmission Lines
The lumped circuit elements are much
smaller than the characteristic
wavelength . Transmission circuit
has greater transportation of
voltage and current than
wavelength.
R and G are dissipative loss.
L and C are Stored Energy.
Transmission Lines
Electrical circuit Federal University of Pernambuc(UFPE), Recife, Brazil
8. Lossless Plane-Parallel Transmission Line
Inductance per unit length can be calculated by Faraday’s
Law and current through a conductor plate can be
calculated by Maxwell-Ampere’s Law
9. Reflection on Lossless Terminated Line
ZL is the load impedance across the line
conductors
At Z=0,
11. Special Termination Cases
Shorted Transmission Line ( ZL=0)
Open Circuit Transmission Line (Zl= infinit)
Line Impedance at d=-lamb/2
Line Impedance at d=lamb./4
12. Shorted Transmission Line ( ZL=0)
At ZL=0 , the reflection coefficient is unity therefore the Zline is dependent only
on the distance and characteristic impedance. The Current is maximum in
this case but voltage is nullify.
13. Open Circuit Transmission Line (Zl= infinit)
In open circuit the load is completely removed and therefore reflection
coefficient is -1 and the Zline is exactly opposite to the shorted terminated
lines. Voltage is maximum at the point of load and current is null
14. Line Impedance at d=lamb/2 and at d=lamb./4
At half-wave point, Zline is equal to ZL and independent of transmission line
characteristics
Quarter-wave transformation can be used for the length of the line ( lamb/4) with
impedance Z1 (quarter-wave transformer) to match the input transmission line of
Impedance Z0 to the given load ZL. Here reflaction co-efficient is zero therefore