Problem $2.(32$ points$)$

You are trying to test a circuit with a purely resistive $25\backslash$Omega load using a $3$V source with no source resistance and a lossless air transmission line with a characteristic impedance of $50\backslash$Omega and time delay t$\_($d$)=1$ns

Your goal is to determine the time in ns needed to turn the circuit on and off, juggling speed versus accuracy.

aV$\_($L$)($t$)=3$V is forever. What went wrong?

Problem $2.(32$ points$)$ Continued:

bV$\_($L$)($t$)$ using a bounce diagram approach. The Load has no voltage across it initially.

i$.$ Perform a bounce diagram analysis to reproduce the source voltage across the

load to at least a $90\%$ accuracy, showing all steps $0$ I to $04.$

Define $\%$ accuracy as follows:

$\%$ Accuarcy $=\{1-[($V$\_($S$)-$V$\_($L$)($t$\_($finish $)))/($V$\_($S$))]\}$x$100$

ii$.$ Write down the time it took to charge the load to $90\%$ of the source voltage or better:

t$\_($finish $)=(,)$ns

iii. Use a bounce diagram analysis showing all steps $01$ to $04$ to discharge the circuit over

the same time period. The load has V$\_($L$)($t$\_($finish $))$ across it to start with, which is close

to but not equal to the $3$ V steady state value.

iv Calculate the discharge $\%$ Accuarcy as above.