Final answer:
To calculate the Voltage Standing Wave Ratio (VSWR) given the reflection coefficient Γ = 1/√3 · e^(j-30°), use the formula VSWR = (1 + | Γ |) / (1 - | Γ |) with the magnitude of Γ.
Step-by-step explanation:
The student is asking to calculate the Voltage Standing Wave Ratio (VSWR) on a transmission line given a reflection coefficient Γ expressed in both magnitude and phase as Γ = 1/√3 · e^(j-30°). The VSWR is a measure of how efficiently radio-frequency power is transmitted from the power source, through a transmission line, into the load. To find the VSWR, we use the formula VSWR = (1 + | Γ |) / (1 - | Γ |), where | Γ | is the magnitude of the reflection coefficient.
In this case, the magnitude of the reflection coefficient Γ is 1/√3. Substituting the value into the VSWR formula, we get:
VSWR = (1 + 1/√3) / (1 - 1/√3)
This calculation will give us the VSWR on the line, which is a dimensionless quantity representing the ratio of the maximum to the minimum voltage on the line, indicating the level of mismatch and signal reflection.