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  3. 1. a sinusoidal voltage wave on a transmission lin

1. A sinusoidal voltage wave on a transmission line has real amplitude, V_0. The wave is...

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Electrical Engineering

1. A sinusoidal voltage wave on a transmission line has realamplitude, V_0. The wave is expressed in phasor form as

V_s(z) = V_0*e^(-alpha*z)*e^(-j*(beta)*z)

a. In which direction does this wave propagate and why?

b. Express the given wave in real instantaneous form.

c. The parameters of the line, operating at ω= 6.0×10^8 rad/sare L = 0.350 μH/m, C = 40.0 pF/m, G = 0 and R = 15.0 Ω/m. Findα,β,λ, andZ_0 (in magnitude and phase).

d. Calculate the phase velocity of the wave, and find anexpression for the time-average power in the line, as a function ofdistance, z , where V_0 = 13.7 V.

e. Find the distance from z = 0 over which the wave power isreduced by 10dB, and evaluate the power in mW at that location.

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