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Examoogle • User • info@examoogle.com • EE-2024-8821
Chapter 1 of 12 • Page 1 of 248🔒 Protected PDF • Watermarked
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Line constant of a transmission line are
Lumped
Non-uniformly distributed
Uniformly distributed
None of above
Non-uniformly distributed
Quick Summary: Transmission line constants ($R, L, G, C$) are inherently distributed parameters because they exist uniformly along the entire length of the conductor. Unlike lumped circuits where components are discrete, these parameters represent the physical properties of the transmission line per unit length.
Transmission line constants (R,L,G,C) are inherently distributed parameters because they exist uniformly along the entire length of the conductor. Unlike lumped circuits where components are discrete, these parameters represent the physical properties of the transmission line per unit length.
z=R+jωL — Series impedance per unit length (Ω/m)
y=G+jωC — Shunt admittance per unit length (S/m)
In a real transmission line, resistance is distributed along the metal, inductance is due to magnetic fields around the conductor, capacitance is formed between conductors/ground, and conductance is due to leakage current through the insulation. Because these effects occur at every infinitesimal point dx along the line, they are mathematically treated as uniformly distributed parameters rather than lumped or non-uniformly distributed constants.
Transmission line constants are defined per unit length (R,L,G,C).
They are distributed parameters, meaning they cannot be isolated into single physical components.
Lumped parameter models (like π or T networks) are only approximations used for short transmission lines.
Allows for accurate modeling of long-distance energy propagation
Accounts for phase shift and attenuation over distance
Requires solving complex partial differential equations (Telegrapher's equations)
Computationally intensive for transient analysis compared to lumped models
Power system steady-state stability studies
High-frequency signal transmission and telecommunications
Correction: The original provided answer was 'Non-uniformly distributed', which is factually incorrect. In standard power system theory, transmission line constants are defined as 'Uniformly distributed'.
Short lines (< 80 km) can be modeled as lumped parameters, but the fundamental nature of the line constants remains distributed.
C is correct — Transmission line constants are uniformly distributed along the entire length of the conductor.
Always remember that 'Lumped' models like the π-network are merely numerical approximations; the physical reality of a transmission line is always 'Distributed'.