Engineering How to Simplify a Frequency Response Circuit for Impedance Calculation?

AI Thread Summary
To simplify a frequency response circuit for impedance calculation, it's confirmed that a resistor in series with a current source can be ignored without affecting the circuit's operation. This means the series resistor does not influence the current delivered by the source, allowing for its removal in calculations. The discussion emphasizes that the potential differences will adjust to maintain the specified current. The participant is encouraged to disregard the series resistor in their source transformation. Overall, the focus is on simplifying the circuit effectively while ensuring accurate impedance calculations.
Marcin H
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Homework Statement


Screen Shot 2016-10-11 at 7.57.38 PM.png


Homework Equations


V=IR
H(w) = Y/F = Impedance of circuit

The Attempt at a Solution



I wanted to simplify this circuit before I find any impedance, but I am not sure if I did my source transformation correctly. Can i combine the f(t) current source with the 1ohm in parallel even though there is another resistor in series with it? Or are my steps correct?

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A resistor (or any passive component) in series with a current source has no effect outside of altering the potential differences on components within the current source branch. The branch will still deliver the current source's specified current with or without series resistance in the way; the current source will just alter its own potential difference to compensate and maintain the current.

What this means is that you can remove that series resistor entirely without making any change to the way the rest of the circuit operates.
 
gneill said:
What this means is that you can remove that series resistor entirely without making any change to the way the rest of the circuit operates.

So do I just ignore that resistor from the start or do I have to include it like I did in my source transformation?
 
Marcin H said:
So do I just ignore that resistor from the start or do I have to include it like I did in my source transformation?
Remove it. Erase it. Obliterate it. Pretend it never exited :smile::biggrin:
 
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gneill said:
Remove it. Erase it. Obliterate it. Pretend it never exited :smile::biggrin:
Lol.. Thanks! :smile:
 
How did your second 1 ohm reisstor wind up in series with the L-C network?
 

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