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Engineering and Comp Sci Homework Help
Transfer Function: Determine Vo for Circuit in Fig. 5
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[QUOTE="Fronzbot, post: 2710529, member: 221907"] [h2]Homework Statement [/h2] Determine the transfer function for the circuit shown in figure 5 if the output voltage is defined as the voltage drop across the 20[tex]\Omega[/tex] resistor. Note there are two sources in this circuit. [ATTACH=full]134048[/ATTACH] [h2]Homework Equations[/h2] H(s) = [tex]\frac{Vo}{Vi}[/tex] [h2]The Attempt at a Solution[/h2] From the previous question (I needed to find the Voltage and Current across the Inductor and the voltage across the Capacitor all in the 'S' domain) I know that, assuming V[sub]b[/sub]is the node voltage where the cap, inductor and resistor meet, V[SUB]b[/SUB]=[tex]\frac{120(5s^2+20s+11)}{s(s^2+5s+6)}[/tex] and, assuming V[sub]a[/sub] is the node voltage at the current source, V[sub]a[/sub]=[tex]\frac{60(11s^2+51s+22)}{s(s^2+5s+6)}[/tex]. Now what I'm having trouble with is determining what I should use for V[sub]i[/sub]. Every problem in my book or in class has defined an input voltage somewhere and all of them have only ever had one source. My idea is that I could use superposition to find the transfer function so I determine V[sub]o[/sub] when the current source is opened and V[sub]i[/sub]=[tex]\frac{60}{s}[/tex]V and then add that to the transfer function when the voltage source is shorted and V[sub]i[/sub]= V[sub]a[/sub]. Is this a valid approach? [/QUOTE]
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Transfer Function: Determine Vo for Circuit in Fig. 5
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