Problem $3(10$pts$)$:

For the coupled network shown below,

a$.$ Give an expression for the voltage Uo versus the $($sinusoidal$)$ voltage Ui for the drawing to the right $($C$1,2$: Capacitors; R$1,2$: ohmic Resistors$).$

b$.$ Provide expressions for the low$-$frequency and high$-$frequency $3$dB drop$-$off frequencies.

c$.$ Select values for C$1,$ C$2$ and R$1,$

R$2$ for the low$-$f $3$ dB frequency

to be at $33$ Hz and the high$-$f $3$ dB

frequency to be at $25$ GHz $.$

d$.$ Draw a schematic Bode plot.