Transmission Line with Complex Load: Compute the Voltage Transmission Coefficient A lossless line has Z0 = 300 Ω and is terminated with ZL = 300 − j300 Ω. Find the voltage transmission coefficient T at the load (magnitude and angle).

Introduction / Context:
On a transmission line with characteristic impedance Z0 and load ZL, the reflection coefficient Γ and transmission coefficient T describe how waves reflect from and transmit into the load. Here we compute T for a complex load.

Given Data / Assumptions:

• Z0 = 300 Ω
• ZL = 300 − j300 Ω
• Lossless line; standard voltage-wave definitions.

Concept / Approach:

For voltage waves at the load: Γ = (ZL − Z0) / (ZL + Z0). The transmission coefficient for voltage at the load is T = 1 + Γ.

Step-by-Step Solution:

Verification / Alternative check:

Compute Γ on a Smith chart at ZL / Z0 = 1 − j1 and then add 1 vectorially to obtain T; the numerical result matches.

Why Other Options Are Wrong:

Option B and D: Magnitude/angle do not match T. Option C: Wrong quadrant/angle. Option E: That is |Γ|∠∠ for the reflection coefficient, not the transmission coefficient.

Common Pitfalls:

Confusing Γ with T; forgetting that T = 1 + Γ for voltage at the load; mixing degrees and radians.

Final Answer:

1.265 ∠ -18.43°.