Midterm Exam-

1. Impedance match a complex load of Z_L = 25 + j30 Ω to a 50 Ω source impedance using a two element L-C matching L-type network. Remember to perform conjugate matching for maximum power transfer. Determine the component values if the frequency of operation is 330 MHz. Show work on the Smith Chart.

Q2. Design a fifth order Chebyshev low-pass filter using microstriplines using Kuroda's Identities to meet the following specifications: Cut-off frequency f_c = 2.4 GHz, Z_s = Z_L = 50 Ω. Simulate and plot S₁₁ Smith Chart, S₂₂ Smith Chart, and S₂₁ using ADS; all for a frequency range of 10 MHz to 5 GHz. Place a marker at 2.4 GHz.

Q3. Design a third order Butterworth high-pass filter using discrete components to meet the following specifications: Cut-off frequency f_c = 270 MHz, Z_s = Z_L = 50 Ω. Simulate and plot S₁₁ , S₂₂, and S₂₁ using ADS; all for a frequency range of 10 MHz to 1000 MHz. Place a marker at 270 MHz.

Q4. For a load of 20 Ω, use a single stub tuner on an FR-4 PCB with ε_r = 4.7 to match to a 50 Ω generator. The frequency of operation is 400 MHz. Determine the distance in mm from the load to the stub, and the length in mm of the stub. Show all work on the Smith Chart on the following page, and draw the resulting single stub tuner circuit with all distances labeled. Confirm with ADS and attach ADS results including S₁₁ Smith Chart, S₂₂ Smith Chart, and S₂₁ frequency response; all for a frequency range of 10 MHz to 800 MHz. Place a marker at 400 MHz.