Problem $3.(34$points$)$

Two Z$0=50$air $$transmission line circuits are being considered for a wireless

communication application in $$air$.$ You are first tasked to $$perform a frequency versus load

impedance analysis of $$each:

a Circuit # I: f$=900$MHz

$,$ZL$=40+$j$10$

Your analysis: Calculate:

i$.$The wave parameters and$$

ii$.$The load reflection coefficient

iii. The standing wave ratio

iv$.$The distance from the load to $$the first voltage minimum

v$.$The distance from the load to $$the first voltage maximum

b $$Circuit # $2$: f$=950$MHz

$,$ZL$=50-$j$10$

Your analysis: Calculate:

i$.$The wave parameters and$$

ii$.$The load reflection coefficient

iii. The standing wave ratio

iv$.$The distance from the load to $$the first voltage minimum

v$.$The distance from the load to $$the first voltage maximum Problem $3.(34$points$)$Continued:

c $$Problem $3.(34$points$)$Continued:

Now analyze your results from an $$applications point of $$view$.$ Describe your reasoning

for your recommendations:

dS$$is $$the ratio of $$the Voltage amplitudes:

S$=$Vmax$($V$)$Vmin$($V$)$

If $$the goal is$$to $$keep the voltage amplitudes even with each other: Vmax$($V$)$~$=$Vmin$($V$),$

which would you recommend: Circuit #I or $$Circuit #$2?$