Question

1) A lossless transmission line that is 3N2 long with an impedance of 75Ω terminated by a load of 25 Ω The generator has a voltage of V,r-2sin(et) V and an internal impedance Ζ'50Ω (a) For this circuit give Vg, T, and the voltage standing wave ratio. (b) Give Vin. Inand Vo (c) Give and I (d) Give the voltage and current at the midpoint of the line (ie. P(z) and I(2) at z-3/4). (e) From the answer of (d) show that D/I gives the input impedance for a /4 transmission line. (1) Does the mid-point of the line correspond to a voltage maximum or minimum? (g) Plot IV(z)I , II(z)l and the impedance of the line from the load to the generator (assume λ-1 mi for the plot). (h) Compute the time-averaged power delivered to the TL: n,-- elen/.]. (i) Compute the time-averaged power delivered to the load P ) Compute the time-averaged power of the forward propagating wave in the TL and reverse propagating wave and show they are related by Ir]2. Further show the difference of the forward and backward propagating wave is the power delivered to the load (k) Compute the time-averaged power delivered by the generator and the time average power dissipated by the internal impedance (Z). Is conservation of power satisfied in the circuit?

Answer 1

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Vo e33n 3 3T V and T IL 0.12 mid pot았아1-ne -3β1 cument and voiko?e e) 2

2)63m) -J31 26 多6 2 5 T2) 024) 1(2): 0-12 e-J31(2-e-53T