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#1




Solving Transfer Function
Hi,
I am stuck on this question... The current source is throwing me off this, and I do not know exactly how to deal with it. My answer seems very wrong > V(0)/i(g) = Zr+Zl, so a hand would be greatly appreciated, as I am really stuck. Thanks. Last edited by Sgt.Incontro; 11022013 at 05:38 PM. 
#2




Try to use a current divider rule
http://en.wikipedia.org/wiki/Current_divider 
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anhnha (10312013) 
#3




Quote:
V(0) = i(g)(Zr+Zl) But this would require that ALL of the i(g) goes through the Zr and Zl. What about the portion that goes through Zc? 
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anhnha (10312013) 
#4




Quote:
If it was an ordinary voltage source instead of current source, you would have: V(o)/V(i)= (Zl+Zr)/( (Zl+Zr)  Zc ) wouldn't you? So how would deal with the current source? Sorry if I am heading in the wrong direction. 
#5




If it was a voltage source, then the transfer function would be exactly 1.
Think about it. Going back to the original circuit: Just analyze the circuit. For instance, sum up the currents going into the top node and set that equal to the currents leaving the top node. You know that the voltage on the top node is Vo. What do you get? 
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anhnha (10312013) 
#6




Quote:
For the currents: i(g) = i(c) + i(RL) and then from there? 
#7




Quote:
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#8




I tried a source transformation, am I correct in saying the source transformation would result in a voltage source V(g) followed by a series source resistance of Z(c)( Z(r) + Z(l) )? (And then the rest of the circuit attached to this?)
Quote:
How exactly? 
#9




Hi,
Maybe, I can help a bit. Quote:
Please see the picture: 1.What is relation between ig, I1, I2? In other words,write the equation that relates ig, I1, I2 through Kirchhoff's Current Law for node A. 2.Express I1 in terms of Vo? 3 Express I2 in terms of Vo? Substitute I1, I2 expressions you got in #1 and #2 into #1. Now can you derive Vo/ig? 
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Sgt.Incontro (10312013) 
#10




Quote:
1) What is the voltage across the capacitor? 2) What is the impedance of the capacitor? 3) What is the current through the capactor? 4) What is the voltage across the series combination of R & L? 5) What is the impedance of the series combination of R & L? 6) What is the current through the series combination of R & L? 
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Sgt.Incontro (10312013) 
Tags 
function, poles, rlc circuit, solving, transfer, transfer function, zeros 
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