GATE 2024 EC – Question 58
A lossless transmission line with characteristic impedance $Z_0=50\ \Omega$ is terminated with an unknown load. The magnitude of the reflection co-efficient is $|\Gamma|=0.6$. As one moves towards the generator from the load, the maximum value of the input impedance magnitude looking towards the load (in Ω) is ______.
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Correct answer: 200
Explanation
The input impedance magnitude is largest where the voltage standing wave is maximum: $|Z_{in}|_{max}=Z_0\dfrac{1+|\Gamma|}{1-|\Gamma|}=50\times\dfrac{1.6}{0.4}=200\ \Omega$.