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ECE 548 S. C. Reising Microwave Theory and Component Design Spring 2015 HOMEWORK ASSIGNMENT #6 Due Tuesday, March 24 (at the beginning of class) Problems identified by numbers such as “1.8” are from Pozar’s Microwave Engineering, 4th Edition, © 2012. Those followed by a “(M)”, such as “1.8 (M)”, have been modified from the original problems in the text, as explained in the assignment below. Make sure to follow the changes as given. 1. 5.5 (M) Change the load to ZL = 30 + j40 Ω and the line to a 50-Ω line. 2. 5.7 Hint: Find the value of real impedance R1 such that the load ZL is simply rotated along the line by a length l1. Then the total length is l1 + λ/4, and finding Z1 is relatively straightforward. 3. 5.13 (M) Change the load to 300 Ω and the characteristic impedance of the line to 50 Ω. Find the width of both the quarter-wave matching transformer and the 50 Ω line and make a sketch of a top view of the microstrip circuit.

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ECE 548 S. C. Reising Microwave Theory and Component Design Spring 2015

HOMEWORK ASSIGNMENT #6

Due Tuesday, March 24 (at the beginning of class)

Problems identified by numbers such as “1.8” are from Pozar’s Microwave Engineering, 4th Edition, © 2012. Those followed by a “(M)”, such as “1.8 (M)”, have been modified from the original problems in the text, as explained in the assignment below. Make sure to follow the changes as given. 1. 5.5 (M) Change the load to ZL = 30 + j40 Ω and the line to a 50-Ω line. 2. 5.7 Hint: Find the value of real impedance R1 such that the load ZL is simply rotated

along the line by a length l1. Then the total length is l1 + λ/4, and finding Z1 is relatively straightforward.

3. 5.13 (M) Change the load to 300 Ω and the characteristic impedance of the line to 50 Ω.

Find the width of both the quarter-wave matching transformer and the 50 Ω line and make a sketch of a top view of the microstrip circuit.