GATE EC 2013 Electromagnetics Solution Q 1

GATE EC 2013 Electromagnetics Solution Q 1

The return loss of a device is found to be 20 dB. The voltage standing wave ratio (VSWR) and magnitude of reflection coefficient are respectively_____.

(a) 1.22 and 0.1

(b) 0.81 and 0.1

(c) -1.22 and 0.1

(d) 2.44 and 0.2

Ans :- (a)

Explanation

Returnloss=-20\log\left|\Gamma\right| -20\log\left|\Gamma\right|=20 \therefore \left|\Gamma\right|=10^{-1}=0.1 s=\frac{1+\left|\Gamma\right|}{1-\left|\Gamma\right|}=\frac{1+0.1}{1-0.1}=1.22

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