The characteristic impedance of a transmission line with series impedance and shunt admittance of 25 and 16, respectively, is-

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BDL MT Electrical 17 April 2022 Official Paper
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  1. 1.77
  2. 1.25
  3. 0.64
  4. 1.56

Answer (Detailed Solution Below)

Option 2 : 1.25
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ST 1: BDL MT Thermodynamics
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Detailed Solution

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The correct answer is option 2):(1.25)

Concept:

  • The characteristic impedance (Z0) of a transmission line is the resistance it would exhibit if it were infinite in length. 
  • The characteristic impedance or surge impedance of a uniform transmission line is the ratio of the amplitudes of voltage and current of a single wave propagating along the line; that is, a wave travelling in one direction in the absence of reflections in the other direction
  • The Characteristic impedance of the transmission line is given as

Z0 = \(\sqrt{Z\over Y} \)   

where

Y is the admittance

Z is the impedance

Calculation:

Given

Z = 25 

Y = 16

Z0 = \(\sqrt{Z\over Y} \)   

\(\sqrt{25 \over 16}\)

= 1.25 Ω 

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