4) Assume that we have a lossless transmission line, with voltage and current given by v...
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)...
Q1. (20pts) Consider a lossless transmission line with characteristic impedance Zo=50 Q is used to connect a sinusoidal source with internal resistance Rs=50 2, and 10 Volts peak value to feed a load of ZL=300 Q. At an operating signal wavelength of do, the length of the transmission line is L=2.25o. Determine the followings: a) Standing wave ratio on the line b) Average power delivered to the load in dBm. c) The voltage and current phasor expressions on the transmission...
A DC voltage Vs is applied to a lossless transmission line of length L, with characteristic impedance Zo and propagation velocity Up. The line is terminated in a short circuit. Draw the "bounce diagram" for the voltage along the line as a function of time for the following cases: a) Rs = 1/3Zo b) Rs = 3Zo c) Rs= Zo Where Rs is the source impedance. For the case Rs= Zo plot the voltages at both ends of the line...
A generator bus(with 1.0 per unit voltage)supplies a 180MW, 60Mvar load through a lossless transmission line with per unit (100 MVA base) impedance of j0.1 and no line charging. Starting with an initial voltage guess of 0.8<0◦,iterate until converged using the Newton-Raphson power flow method. For a convergence criteria, use a maximum power flow mismatch of 0.1 MVA.
10.198 A lossless transmission line is 50 cm in length and operates at a frequency of 100 MHz. The line parameters are L-0.2 μ H/m and C = 80 pF/m. The line is terminated in a short circuit at z 0, and there is a load ZL = 50 + j 20 Ω across the line at location z--20 cm. What average power is delivered to ZL if the input voltage is 10020 V?
The mathematical expression for a voltage wave on a transmission line is given as: V(z,t) = 5e-azsin(41x10ºt – 2012) (V/m) where z is the distance from the generator and a is an unknown constant. At z = 2 meters the amplitude of the voltage oscillation is measured to be 1 Volt. a) (2 pts) Find the linear frequency of the wave b) (3 pts) Find the wavelength c) (3 pts) Find the phase speed d) (3 pts) Find the value...
7. Two measurements on a lossless transmission line of characteristic impedance 2-R-5003 length 1= λ / 2 are IIN ●1(ss/)s 2(amps) and VlaV(s.0). 100( volts) (a) Find the phasor voltage V(s) and the phasor current I(s) on the line "sfunctions of s/ λ、whm s is the distance from the load and λ is the wavelength. (b) Find the time average power P on the line Hint: Recall that e- LT
7. Two measurements on a lossless transmission line of characteristic...
A lossless transmission line with characteristic impedance of 75Ω measures 1.4λ at a certain working frequency. The line is powered by a generator with negligible impedance and an open circuit voltage of Vg=10∠0° [V]. A load of 50-i50Ω is connected at the end of the line. Find a) The reflection coefficient. b)The stationary wave ratio. c)The input impedance of the line. d)The voltage at the entrance of the line. e)The voltage at the load. f)The average power delivered to the...
A 50-Ohm lossless air-spaced transmission line is terminated in a load. The voltage standing wave pattern on the line is measured and the resulting curve is presented in the figure. V[V] -1 -0.8 -0.6 -0.4 -0.2 0 - [m] (a) Determine the signal frequency. (b) Find the percentage of the incident power that is delivered to the load.
Problem 2.25 A lossless transmission line is terminated in a short circuit. How long (in wavelengths) should the line be in order for it to appear as an open circuit at its input terminals? Problem 2.27 A 75-Ω resistive load is preceded by a λ/4 section of a 50-Q lossless line, which itself is preceded by another λ/4 section ofa 100-Q line. What is the input impedance? Problem 2.31 A generator with 300 V and Znected to a load ZL...