Question

A generator with Vg = 300 V, and Zg = 50 is connected to a load Z L =75 through a

50- lossless transmission line of length, l = 0.15l. Now determine:
Zin, the input impedance of the line at the generator end;

Answer 1

To determine the input impedance of the line at the generator end, we need to calculate the reflection coefficient at the load end and then use it to find the input impedance at the generator end.

Step-by-step explanation:

To determine the input impedance of the line at the generator end, we need to calculate the reflection coefficient (ρ) at the load end and then use it to find the input impedance (Zin) at the generator end. The formula to calculate the reflection coefficient is: ρ = (Zl - ZW) / (Zl + ZW), where Zl is the load impedance and ZW is the characteristic impedance of the transmission line. In this case, Zl = 75Ω and ZW = 50Ω. Plugging these values into the formula, we get: ρ = (75Ω - 50Ω) / (75Ω + 50Ω) = 0.25.

The input impedance at the generator end (Zin) can be calculated using the following formula: Zin = ZW * (1 + ρ) = 50Ω * (1 + 0.25) = 62.5Ω.