GATE EC 2014 Electromagnetics Solution Q 12

GATE EC 2014 Electromagnetics Solution Q 12

To maximize power transfer, a lossless transmission line is to be matched to a resistive load impedance via a λ/4 transformer as shown.

GATE EC 2014 Electromagnetics Solution img7 - Grad Plus

The characteristic impedance (in Ω) of the λ/4 transformer is __.

Ans :- 70.72Ω

Explanation

We know, input impedance for λ/4 transformer is, Z_{in}=\frac{Z_0^2}{Z_L}

\therefore Z_0^2=50\times100 Z_0=\sqrt{50\times100} Z_0=70.72\;\Omega

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