Question

In the schematic shown below Z_o = 75 Ω and ZL = 25 – j15 Ω at the frequency of 3 GHz (which is also the frequency of the Source signal). Using the Smith Chart, perform the following:

i. Calculate the normalized value of Load impedance Z_L’ and mark it on the Chart.

ii. Estimate the magnitude of the reflection coefficient at the Load using the Chart.

iii. Sketch the Constant-circle corresponding to the point from the above step |Γ_L|and mark on the Chart the possible locations of the Matching Network.

iv. Pick one location from the step above and, after finding signal’s wavelength (assume propagation velocity through the TL is 75% of the speed of light), estimate the distance from the Load to the Source that corresponds to this input impedance value. Find the value of the input impedance corresponding to this point.

v. Specify which circuit component must be used to implement the resultant Matching Network (MN) and calculate the value of this component (assuming same signal frequency).

vi. Estimate the amount of reflection (i.e. |Γ_L| ) if the signal frequency a). Is halved; b). Is doubled.

TL SOURCE

Answer 1