A transmission line of characteristic impedance 50 is terminated by a 50 load gate ece 2011

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## A transmission line of characteristic impedance 50Ω is terminated by a 50Ω load. -gate-ece-2011

When excited by a sinusoidal voltage source at 10GHz, the phase difference between two points spaced 2mm apart on the line is found to be 4π radians. The phase velocity of the wave along the line is
(A) 0.8×10^8 m / s
(B)1.2 ×10^8 m / s
(C)1.6× 10^8 m / s
(D)  3 ×10^8 m / s

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Answer is: c) 1.6 × 108 m/s.

Explanation: Z0 = 50 Ω; ZL = 50 Ω

For π/4 radians the distance is 2 mm

The phase velocity vP = (ω/ β) = ((2 × π × 1010)/(2 π/16 × 10-3)) = 16 × 10-7 = 1.6 × 108 m/s

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