GATE EC 2000 Electromagnetics Solution Q 3

GATE EC 2000 Electromagnetics Solution Q 3

The magnitudes of the open-circuit and short-circuit input impedances of a transmission line are 100Ω and 25Ω respectively. The characteristic impedance of the line is____

(a) 25 \Omega

(b) 50 \Omega

(c) 75 \Omega

(d) 100 \Omega

Ans :- (b)

Explanation

Z_0=\sqrt{Z_{OC}\cdot Z_{SC}}=\sqrt{100\times25} Z_0=10\times5=50\;\Omega

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