GATE EC 1996 Electromagnetics Solution Q 5

GATE EC 1996 Electromagnetics Solution Q 5

The capacitance per unit length and the characteristic impedance of a lossless transmission line are C and Zo respectively. The velocity of a travelling wave on the transmission line is

(a) Z0C

(b) 1/Z0C

(c) Z0/C

(d) C/Z0

Ans :- (b)

Explanation

As given line is lossless, Z_0=\sqrt{\frac LC}

Z_0^2=\frac LC L=Z_0^2C v=\frac1{\sqrt{LC}}=\frac1{\sqrt{\left(Z_0^2C\right)(C)}}=\frac1{Z_0C}

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