GATE EC 2015 Set 3 — Question 35
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Electromagnetics → Transmission Lines → Transmission Line Equations
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Question
A coaxial cable is made of two brass conductors. The spacing between the conductors is filled with Teflon (). Which one of the following circuits can represent the lumped element model of a small piece of this cable having length ?
Correct answer
(B) [figure]
Solution
A transmission line is modeled using series resistance , series inductance , shunt conductance , and shunt capacitance .
1.Since the conductors are made of brass (finite conductivity), there is a non-zero series resistance .
2.The dielectric is Teflon with . Shunt conductance is given by . Since , the shunt conductance is zero.
3.A symmetric lumped model (like a T-network) distributes the series components and equally on both sides of the shunt component.
Therefore, the correct model should have and in the series arms and only in the shunt arm (no ). This corresponds to circuit (B).Continue learning with Success Tracker
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