Microwave CAD and Measurements, Mid-Term. Exam.

학번 ( ) 성명 ( ) 이동전화번호( )

PIN = abcd: 휴대전화 끝 4 자리 (예: 010-8028-3194, a = 3, b = 1, c = 9, d = 4), 단 각 숫자가 0인 경우 순차적으로 1, 2, 3, 4로 대체 (예: 010-1234-0097인 경우 a = 1, b = 2, c = 9, d = 7)

배점: 소문제당 10점

1. Given a transmission line with L = (100a + 10b + c) nH/m, C = (10d + a) pF/m, R = 0, G = 0, f = (1000b + 200c+30d) MHz, calculate

1) the characteristica impedance Z₀ (Ω),

2) the attenuation constant α (Np/m), and

3) the phase constant β (rad/m).

2. Write a Python code to find

1) the characteristica impedance Z₀ (Ω) and

2) the complex propagation constant γ (/m)

for a transmission line with L = (100a + 10b + c) nH/m, C = (10d + a) pF/m, R = (100c + 10b + a) mΩ/m, G = 10d μΩ/m, f = (1000b + 200c+30d) MHz. Submit the source code and a sample of a code execution.

3. Design an air-filled parallel-plate transmission line with a characteristic impedance of 20a Ω. Use a perfect electric conductor (PEC) material. Use σ = ∞ for PEC and ε_r = 1 for air.

4. A load Z_L at z = 0 is connected with a tranmision line of length l with Z₀ and β with Z_L = 10(a + jc) Ω, Z₀ = 20d Ω, l = 0.1b wavelength (tranmssion line length).

Find

1) the load reflection coefficient Γ_L = Γ(0),

2) the input reflection coefficient Γ(−l),

3) the input impedance Z(−l) (Ω), and

4) the power delivered to the load when a power of 1 watt is incident on the transmissio line at z = −l.

5. Draw on a Smith chart

1) an r = d/10 circle, and.

2) an x = b/5 circle.

6. Write a Python code for calculating Γ_in and Γ_out of a two-port network shown below. Submit the source code and a sample of a code execution.

7. Write a Python code for calculating input impedance Z_in (Ω) and the input reflection coeffcientΓ_in (dB) of the circuit shown below with a reference impedance Z₀ of 20c Ω at 10b MHz frequency interval between 200 MHz and 800 MHz.

8. A load impedance Z_L = 30a − j30b Ω is to be transformed to Z_in = Z₀ = 20d Ω at 100b MHz.

1) Use a Python code given in the lecture webpage to find all possible LC matching networks. Submit the source code and the result of your program execution by capturing the PC screen.

2) Draw all of your matching networks.