Question 1 A purely resistive load has a VSWR of 3 in a lossless transmission line. Given that the characteristic impedance is 50 ohm, find all possible values for the load impendence Illustrate your...
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.
A lossless transmission line with 50 Ω characteristic impedance has a 50 V step function placed on it, generated from a source impedance of 10 Ω. Assume the velocity of the signal on the line is 106 m/s, the line is 100 m long, and is terminated in a load impedance of 100 Ω. (a) What is the source voltage? (4 marks) (b) How long does the step function take to reach the termination load impedance? (2 marks) (c) What...
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)...
32 1. There are three transmission line and one 4 transmission line (all characteristic impedance of transmission line is v2zo and assume lossless line) and there are two loads of load impedance Zo 214 iz Zi=?> 2/4 A/4 short 32/4 (a) Find the input impedance (Zn) (b) If the input power is 1 watt, find the transmitted power to each load Zo 32 1. There are three transmission line and one 4 transmission line (all characteristic impedance of transmission line...
1.The voltage on a transmission line with characteristic impedance 50 ΩΩis sin(31.4?+6.28×109?)sin(31.4z+6.28×109t)V. What is the current associated with this wave? A. cos(31.4?+6.28×109?)cos(31.4z+6.28×109t)A B. 0.02sin(31.4?+6.28×109?)0.02sin(31.4z+6.28×109t)A C. −.02sin(31.4?+6.28×109?)−.02sin(31.4z+6.28×109t)A D. 50sin(31.4?+6.28×109?)50sin(31.4z+6.28×109t)A E. None of the above 2. The unit circle on a Smith chart represents: Purely reactive impedances Purely resistive impedances Matched impedances VSWR = 0 None of the above
a. A 50 air-filled transmission line is working at 3 MHz on a length of 5.21. The line is terminated with a load impedance of ZĽ = 40 + j25 12. Evaluate: i. VSWR using both Smith Chart and equation. Compare both answers. (CO3: P04 - 3 marks) ii. Reflection coefficient at the load using both Smith Chart and equation. Compare both answers. (CO3: P04 - 3 marks) iii. Input impedance and input admittance using the Smith Chart. (CO3: PO4...
6.6. A lossless 100-12 transmission line is to be matched with a 100 +j100- 12 load using a double-stub tuner (Figure P6.6). Separation between the two stubs is 1/8 and the characteristic impedance is 100S2. A load is connected right at the location of the first stub. Determine the shortest possible lengths of the two stubs to obtain the matched condition, and find the VSWR between the two stubs. 228 IMPEDANCE-MATCHING NETWORKS 100 +j1002 10022 W/8 Figure P6.6
Match a load impedance of 100 ‐ j100 Ω to a 50 Ω transmission line using a parallel inductor (next to the load) and a series capacitor. Calculate component values at 1 GHz using Smith Chart. Show all calculations on Smith Chart.
answer number 3 and 4 Problem 7. Transmission Lines The figure below shows a transmission line with a characteristic impedance Z,-50 Ω, connected to a single frequency generator with an internal impedance R,-50 C (not shown), and terminated in a purely resistive load RL 50 2. At the frequency of the generator, the wavelength of the transmission line is λ = 2 m. At a distance dl-1.25 m away from the load, a shorted stub is connected via a tee....
Question 1 2.5 pts Use the following circuit for the 3 questions below. A 50-2 lossless transmission line 0. 284A long is terminated in a load with Z (50+ /25) Zin Zo 50 Z Z4 (50+ j25) Use the Smith chart to find the magnitude of the reflection coefficient I' at the load. Enter only numerical value with two decimal values (x.xx) into the box below Use the Smith chart to find the phase of the reflection coefficient I at...