Problem $4$

Make the circuit below in ADS and analyze with $Zo=50$ at $1$ GHz $.$

Answer the following question:

Are the input reflection coefficient and load reflection coefficient the same? Which parts are the same, and which parts are different? Why?

Are the input impedance and load impedance the same?

Show the input impedance and load impedance on a smith chart.

Write the input impedance and load impedance in rectangular coordinates

Answers:

$q,$

$q,$

Show ADS circuit & smith chart here:

$2$ points.

$1$ point

Zload $=$ Zinput $=$

$5$ points

$2$ points

Problem $1$ Phasors and Time Shift

$10$ pts

$V(t)=8sin(2000t),V$

a$)$ Find the phosor vec$(V)$

b$)$ Find $i(t)$

c$)$ Sketch $v(t)$ and $i(t)$ on the same time atis.

d$)$ How many seconds are i and $v$ out of phase?