In the case of nominal – T representation of medium length transmission lines, the shunt capacitance can be

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  1. assumed to be equally lumped at each end of the line
  2. assume to be distributed throughout the length
  3. neglected
  4. assumed to be lumped at the middle of the line

Answer (Detailed Solution Below)

Option 4 : assumed to be lumped at the middle of the line
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Transmission Lines

Types of transmission lines on the basis of length
Small transmission lines Up to 80 km
Medium transmission lines 80 - 240 km
Long transmission lines > 240 km

Nominal T Model Of A Transmission Line

In a nominal T model of a medium transmission line, the series impedance is divided into two equal parts, while the shunt admittance is concentrated at the middle of the line. The nominal T model of a medium transmission line is shown in the figure.

Sending end voltage and current can be obtained by application of KVL and KCL, to the circuit shown below

Current in the capacitor can be given as,

By Kirchhoff’s current law at node a,

By Kirchhoff’s voltage law

Equation of Sending end voltage Vs and current Is can be written in the matrix form as

Also,

Hence, the ABCD constant of the nominal T-circuit model of a medium line is

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