Question 1. (10 Marks) A 75 _ transmission line is to be connected directly to an antenna with feed-point impedance of ZL= 156 _. You are asked to match the load using a Quarter-Wave matching. However, all you have available for the design is another co-axial line of characteristics impedance 52 _. Can you do a quarter wave match? If so, show how the match can be done. If not, why not? Question 2. (15 Marks) A load of ZL = 36 + j40 _ is to be matched to a main line of characteristics impedance Z0= 100 _ using a circuit shown in the figure below. The opencircuited stub is
Question 1. (10 Marks) A 75 _ transmission line is to be connected directly to an antenna with feed-point impedance of ZL= 156 _. You are asked to match the load using a Quarter-Wave matching. However, all you have available for the design is another co-axial line of characteristics impedance 52 _. Can you do a quarter wave match? If so, show how the match can be done. If not, why not? Question 2. (15 Marks) A load of ZL = 36 + j40 _ is to be matched to a main line of characteristics impedance Z0= 100 _ using a circuit shown in the figure below. The opencircuited stub is positioned at a distance of l1= _ /4 away from the load on a different transmission line with unknown characteristics impedance, ZQ. Please note this is not a standard matching circuit, so dont start applying the stub or quarter wave matching solution blindly. You can do the question analytically or do it on the Smith Chart. (a) Determine the characteristic impedance ZQ of this quarter wave segment and the stub length, ls which would result in a match. (10 marks) (b) For the design in part (a), calculate the standing wave ratio S on the quarter wave line segment with characteristics impedance, ZQ. (5 marks) Question 3. (15 Marks) A load of (50+j50) _ is connected to a transmission line of characteristics impedance, Z0, of 50 _. The combination needs to be matched to a transmission line of characteristics impedance, Z01, of 100 _ using a shunt stub as shown in the figure below. Calculate the value of l and ls which achieve the goal. You can provide any one of the possible solutions. You can solve the question on the Smith Chart. Describe what you are doing in steps if you are using Smith Chart. l _ _ __ /4 ls ZQ Z0 =100 _ ASSIGNMENT 3 Name: Page 3 Question 4. (a) Determine the value of S11 for the cascaded network in the figure below. (5 Marks). (b) Calculate S11 and S21 for the following circuit? Is the circuit loss-less? The transmission lines connecting to the circuit have an impedance of Z0. (10 Marks) (c) In the circuit in (b), the length of 2Z0 line is determined at a frequency of f. Qualitatively draw S11 versus frequency as the frequency is changed around f from 0.5f to 3f. Explain the reasoning behind your drawings (10 marks) (or you can setup the circuit in ADS and simulate the response but will have to explain the features you see in the simulations). Z01 = 100 _ Name: Page 4 Question 5 (20 Marks): Consider the transmission line circuit as shown in the figure below. As a design engineer, your task is to determine the length of the two short-circuited stubs (each 50 _) connected at the load position (z= 0) so that the load is matched to the input transmission line. Design the stubs such that l1+l2 is minimum. You will have to do some calculations before you can use the Smith Chart if you plan to use it. l2 l1 ZL= 25-j75 _
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