❓ Help Coursera Microwave Engineering and Antenna answers

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Question 2
A transmission line had the following per-unit length parameters: L = 0.2 μμH/m, C = 300 pF/m, R = 5ΩΩ/m, G = 0.01 S/m

What is the attenuation per meter along the line?

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Question 3
A transmission line had the following per-unit length parameters: L = 0.2 μμ H/m, C = 300 pF/m, R = 5ΩΩ/m, G = 0.01 S/m

Re-calculate these quantities for a lossless line (R=G=0). So calculate ββ.

 

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To calculate the attenuation per meter along the line, we first need to find the attenuation constant, which is given by:

\( \alpha = \sqrt{(R+j\omega L)(G+j\omega C)} \)

Given the parameters:

• L = 0.2 μH/m
• C = 300 pF/m
• R = 5Ω/m
• G = 0.01 S/m

We need to convert the values to standard units:

• L = 0.2e-6 H/m
• C = 300e-12 F/m
• R = 5 Ω/m
• G = 0.01 S/m

Now, substituting the values into the formula, we get:
\( \alpha = \sqrt{(5 + j\omega 0.2e-6)(0.01 + j\omega 300e-12)} \)

Since we are asked for the attenuation per meter, we need to take the real part of \( \alpha \):
\( \text{Attenuation per meter} = \text{Re}(\alpha) \)

Please perform the calculations to find the correct answer.