2. Lumped versus distributed circuits (15%) (a) A transmission line of length 1 connects a load...
A transmission line of length 1 connects a load to a sinusoidal voltage source with an oscillation frequency f. Assuming the velocity of wave propagation on the line is c, for which of the following situations is it reasonable to ignore the presence of the transmission line in the solution of the circuit: (a) 1= 20 cm, f= 20 kHz, (b) l= 50 km, f = 600 Hz, (C) 1= 20 cm, f = 600 MHz, (d) 1 = 1...
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...
2. Find the component body dimensions of: (i) 1/4W axial leaded resistor (ii) 0402 SMD resistor Assume that these elements will be used in an RF circuit with sinusoidal excitation. Also, assume the velocity of propagation across the elements is equal to 0.6c, where c = 3e8 m/s. For each component, compute the upper frequency below which it can safely be considered to be a lumped element. Use the lambda versus component body size criterion. Useful Information: Transit time effect...
Question 4 (a) The input impedance of a lossless air-core transmission line with characteristic impedance Ro. phase constant B and length I terminated in an impedance Z, is given by R,+Z, tan( i. Determine the length of an open circuit 50Ω line required to create a 0.1 nH inductor at a frequency of 10 GHz. (6 marks) ii. Determine the input impedance of the line in part () if the open circuit is changed to a short circuit. (3 marks)...
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)...
Problem 3-15. Steady-State Conditions on a Transmission Line ine Che Chap. 3 3-11. A certain telephone cable has the following electrical characteristics: R = 40 /mi L = 1.1 mH/mi G = negligible C = 0.062 F/mi Loading coils are added which provide an additional inductance of 30 m / well as an additional resistance of 8 l/mi. Obtain the attenuation constan phase velocities at frequencies of 300 Hz and 3300 Hz. If the coil spacing is 1/6 at a...
A lossless transmission line is used to deliver an AC signal from Liverpool to Wirral. The length of the transmission line is 6 km. The phase velocity is the same as in free space. The transmission line is terminated by a load at the Wirral side with an impedance of 100 Ω. j) If the characteristic impedance of the transmission line is 100 Ω and the AC b) signal has a frequency of 50 Hz, what is the input impedance...
SET 1 1. A lossless transmission line of length 1-0.3? is terminated with complex load impedance ZL- 30 + j20 ? and characteristic impedance Z0-75 ?. Using formulae, calculate (7 Marks) (4 Marks) (5 Marks) (14 Marks) i. The input impedance to the line Zin in ?; The input admittance to the line Yin in S; i The distance to first minimum from the load; Use Smith Chart to all above parameters iv.
In response to a step voltage, the voltage waveform shown in the accompanying figure was observed at the midpoint of a lossless transmission line with Zo-50 Ω and up 2 x 108 m/s. Determine: i) the length of the line, ii) ZL, iii) Rg and iv) Vg. L, 111 Vl/2, 1) 12 V1 15 21 (us) 3VF-- In response to a step voltage, the voltage waveform shown in the accompanying figure was observed at the midpoint of a lossless transmission...
source at 4T produce a forward wave f(r,t) = Aei(wt-Br) on a transmission line having a load at x 0. The source amplitude is A = 6 and the load produces a reflection coefficient of I0.5. The wavenumber 1 rad/m, and the operating frequency is f = 107 Hz. Do the following Let a (a) Compute the simplest math form for ü(r, t), the total phasor signal on the line, for the three time values given by: (i t 0,...