A lossless 50,Omega transmission line of electrical length lambda/4 is terminated with Z_L = 25,Omega. The input impedance seen at the source is:

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Electrical Engineering QUESTION #2179

Question 1

A lossless $50\,\Omega$ transmission line of electrical length $\lambda/4$ is terminated with $Z_L = 25\,\Omega$. The input impedance seen at the source is:

$100\,\Omega$✔️
$25\,\Omega$
$50\,\Omega$
$12.5\,\Omega$

Correct Answer Explanation

Quarter-wave transformer property: $Z_{in} = \frac{Z_0^2}{Z_L} = \frac{(50)^2}{25} = \frac{2500}{25} = 100\,\Omega$.

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