EE 202/Quiz 6 January 27, 2010 Morning Section (a) Find Zin (s) as a SUM of rational functions in s, (4 pts) (do NOT simplify) and (b) find an expression for Vout (s) in terms of Vin (s) , Zin (s) , and ??? (3 pts). (You must find “???” and then write down the appropriate formula; do not substitute your answer for (a).)

s 1 s Solution. (a) Zin (s) s 1 s s 1

s (b) Vout ( s ) s 1 Vin ( s ) Zin ( s )

Afternoon Section (a) Find Zin (s) as a SUM of rational functions in s, (4 pts) (do NOT simplify) and (b) find an expression for Vout ( s) in terms of Vin (s) , Zin (s) , and ??? (3 pts). (You must find “???” and then write down the appropriate formula; do not substitute your answer for (a).)

1 1 Solution. (a) Zin (s) s s 1 s 1

1 (b) Vout ( s ) s 1 Vin ( s ) Zin ( s )