3. Design a quarter wave transformer to match the following circuit: Your solution should indicate the required characteristic impedance of the transformer. Assuming an operating frequency of f = 5 GHz, and the phase velocity on the line is that of free–space, (i.e., vp = 3×108 m/s) how long should the transformer be in mm?
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3. Design a quarter wave transformer to match the following
circuit: Your solution should indicate the...
Design a Quarter-wave Transformer using a Microstrip Line to Match a 250 Ohm Load to a...
Design a Quarter-wave Transformer using a Microstrip Line to Match a 250 Ohm Load to a 75 Ohm transmission Line. The PCB is made of FR-4 and has a thickness of 0.2 mm. Specify Length and width of the strip for a frequency of 2.4 Ghz.
A 2-section quarter-wave transformer designed to match an unknown real impedance (Z) to a 50 Ω...
A 2-section quarter-wave transformer designed to match an unknown real impedance (Z) to a 50 Ω system is shown. The partial reflection coefficients at the TL impedance discontinuities are given. The centre frequency fo is set to be 1 GHz. Estimate Г (magnitude and phase) at 1 GHz and at 1.5 GHz with the simplifying assumption made in class that only the primary partial reflections are relevant to Γ. Ло/4 Zi Z3 Г,-0.15 「= 0.30 Γ,-0.15
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....
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)...
Really appreciate any help. Thank you in advance! 1. Use the Smith chart to find the...
Really appreciate any help. Thank you in advance! 1. Use the Smith chart to find the reflection coefficient corresponding to the load impedance ZL =30−j80Ω. 2. Use the Smith chart to find the impedance corresponding to a reflection coefficient of Γ = ◦ 0.5̸ −45. 3. A transmission line is terminated with a load ZL = 80 + j120 Ω. Use the Smith chart to find (a) the load reflection coefficient, (b) the standing wave ratio, (c) the input impedance...
1) You have a transmission line with Zo = 500 that you wish to match to...
1) You have a transmission line with Zo = 500 that you wish to match to a (100-j150) load. The phase velocity on the line is 2.0x108 m/s and the frequency of operation is 91.9MHz (KSDB-FM). Use the Smith chart to find: a. The shortest distance from the load that you can insert a quarter wave transformer to match the line to the load. b. The characteristic impedance and length of the quarter wave transformer from part a. C. The...
A 2-section quarter-wave transformer designed to match an unknown real impedance (Z) to a 50 Ω system is shown. The partial reflection coefficients at the TL impedance discontinuities are given. The centre frequency fo is set to be 1 GHz. Estimate Г (magnitude and phase) at 1 GHz and at 1.5 GHz with the simplifying assumption made in class that only the primary partial reflections are relevant to Γ. Ло/4 Zi Z3 Г,-0.15 「= 0.30 Γ,-0.15
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) You have a transmission line with Zo = 500 that you wish to match to a (100-j150) load. The phase velocity on the line is 2.0x108 m/s and the frequency of operation is 91.9MHz (KSDB-FM). Use the Smith chart to find: a. The shortest distance from the load that you can insert a quarter wave transformer to match the line to the load. b. The characteristic impedance and length of the quarter wave transformer from part a. C. The...
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