6. A microwave transmission line is 75m long, operates with a center frequency of 1.8 50+ j02, and is terminated with an antenna with Z₁ = 55-j4 22. The load end of the line is designated as z=0. GHz, has Zo a. Calculate B = b. Find p(z=0) c. Find the SWR

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### Problem 6

A microwave transmission line is 75 meters long and operates with a center frequency of 1.8 GHz. It has a characteristic impedance \( Z_0 = 50 + j0 \, \Omega \) and is terminated with an antenna having an impedance \( Z_L = 55 - j4 \, \Omega \). The load end of the line is designated as \( z = 0 \).

#### Questions:

a. Calculate the phase constant \( \beta \).

b. Find the reflection coefficient at the load, \( \rho(z=0) \).

c. Calculate the Standing Wave Ratio (SWR).

d. Find the reflection coefficient at the source end, \( \rho(z=-L) \).

e. Determine the input impedance \( Z_{\text{in}} \).
Transcribed Image Text:### Problem 6 A microwave transmission line is 75 meters long and operates with a center frequency of 1.8 GHz. It has a characteristic impedance \( Z_0 = 50 + j0 \, \Omega \) and is terminated with an antenna having an impedance \( Z_L = 55 - j4 \, \Omega \). The load end of the line is designated as \( z = 0 \). #### Questions: a. Calculate the phase constant \( \beta \). b. Find the reflection coefficient at the load, \( \rho(z=0) \). c. Calculate the Standing Wave Ratio (SWR). d. Find the reflection coefficient at the source end, \( \rho(z=-L) \). e. Determine the input impedance \( Z_{\text{in}} \).
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