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A transmission line of characteristic impedance 50Ω is terminated by a 50Ω load. When excited by a sinusoidal voltage source at 10 GHz, the phase difference between two points spaced 2 mm apart on the line is found to be π/4 radians. The phase velocity of the wave along the line is (a) 0.8 × 108m/s (b) 1.2 × 108m/s (c) 1.6 × 108 m/s (d) 3 × 108 m/s |
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Answer» Correct option (c) 1.6 × 108 m/s Explanation: Phase difference βl = 2π/λ path difference π/4 = 2π/λ(2 x 10-3) λ = 8 x 2 x 10-3 = 16 x 10-3m Given, f = 10GHz The phase velocity of the wave: Vp = fλ =10 x 109 x 16 x 10-3 = 160 x 106m/sec = 1.6 x 108m/sec |
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