GATE EC 2005 Electromagnetics Solution Q 3

GATE EC 2005 Electromagnetics Solution Q 3

Characteristic impedance of a transmission line is 50 \Omega . Input impedance of the open-circuited line is Z_{oc}=100+j150\Omega. When the transmission line is short-circuited, then value of the input impedance will be______.

(a) 50Ω

(b) 100 + j150 Ω

(c) 7.69 + j11.54 Ω

(d) 7.69 – j11.54 Ω

Ans :- (d)

Explanation

Z_0^2=Z_{oc}\cdot Z_{sc} Z_{sc}=\frac{50\times50}{100+j150}=\frac{50}{2+3j}=\frac{50(2-3j)}{13} Z_{sc}=7.69-11.54j

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