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GATE 2014 EC (EC2) – Question 64

Electromagnetics · Transmission Lines · 2 marks · Numerical answer

For the transmission line shown, find impedance Zin (Ω) between node A and ground.

Diagram for GATE 2014 EC (EC2) question 64

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Correct answer: 32.99 to 34.01

Explanation

The50Ωlossless line is terminated in50Ω, so its input impedance is50Ω at any length; the half-wave length also repeats the load directly. At node A this is in parallel with the separate100Ωresistor. Thus Zin=50∥100=5000/150=**33.3333Ω**.