GATE EC 2010 Electromagnetics Solution Q 3

GATE EC 2010 Electromagnetics Solution Q 3

A transmission line has a characteristic impedance of 50Ω and a resistance of 0.1Ω. If the line is distortion less, the attenuation constant (in Np/m) is_____.

(a) 500

(b) 5

(c) 0.014

(d) 0.002

Ans :- (d)

Explanation

For distortionless transmission line, LG = RC

\frac LC=\frac RG

So Charateristic impedance given by

Z_0=\sqrt{\frac LC}=\sqrt{\frac RG}

And Attenuation constant given by,

\alpha=\sqrt{RG}=\sqrt R\cdot\frac{\sqrt R}{Z_0}=\frac R{Z_0}=\frac{0.1}{50}

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