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GATE EC 2014 Set 2 — Question 34

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NAT+1 / -0EasyImpedance Matching (Stub, λ/4)Transmission LinesElectromagnetics

Electromagnetics → Transmission Lines → Impedance Matching (Stub, λ/4)

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Question

To maximize power transfer, a lossless transmission line is to be matched to a resistive load impedance via a λ/4\lambda/4 transformer as shown.
A lossless transmission line connected to a $\lambda/4$ transformer which is then connected to a resistive load $Z_L = 100\ \Omega$. The input impedance looking into the transformer is $Z_{in} = 50\ \Omega$.
The characteristic impedance (in Ω\Omega) of the λ/4\lambda/4 transformer is _________.
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