Problem

Consider a lossless transmission line of a characteristic impedance R0 A time-harmonic vol...

Consider a lossless transmission line of a characteristic impedance R0 A time-harmonic voltage source of an amplitude Vg and an internal impedance Rg = R0 is connected to the input terminals of the line, which is terminated with a load impedance ZL = RL + jXL Let Pinc be the average incident power associated with the wave travelling in the +z-directio n.

a) Find the expression for Pinc in terms of Vg and R0


b) Find the expression for the average power PL delivered to the load in terms of Vg and the reflection coefficient Γ


c) Express the ratio PL/Pinc in terms of the standing-wave ratio S.


d) For Vg = 100 (V), Rg = Ro =50 (Ω), ZL =50- j25 (0) determine P inc, Γ , S, PL.

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