Final answer:
Using formulas associated with transmission lines, the reflection coefficient (magnitude and angle), load impedance, and input impedance can be calculated given the VSWR, line impedance, reflection coefficient phase angle, and line length.
Step-by-step explanation:
The question revolves around the reflection and transmission of waves along a transmission line. The given parameters are a line impedance of 70Ω, a voltage standing wave ratio (VSWR) s=1.6, a reflection coefficient phase angle θΓ=300°, and a line length of 0.6λ. To handle this question, we must use the concepts of reflection coefficient Γ, load impedance ZL, and input impedance Zin.
To find the reflection coefficient Γ, we use the relation between the voltage standing wave ratio (s) and Γ: Γ = (s-1)/(s+1). Substituting s = 1.6 results in Γ = (1.6-1)/(1.6+1). Calculating this value gives us the magnitude of Γ, and the angle θΓ is already given as 300 degrees. So the reflection coefficient Γ in complex form is magnitude times e raised to the power of i times the phase angle.
The load impedance ZL is related to the line impedance Z0 and the reflection coefficient by the formula ZL = Z0 (1+Γ)/(1-Γ). Once we have Γ, we substitute Z0 and Γ into this equation to get ZL.
To find the input impedance Zin, we use the transmission line equations. Specifically, Zin can be found using the formula Zin = Z0 [(ZL + jZ0 tan(βl))/(Z0 + jZL tan(βl))], with β being the phase constant of the line and l the length of the line in terms of wavelength.