Hi all.
This is not really homework - more like a hobby, about loudspeakers, about a model for damping material in cabinets.
My problem is that although the circuit consist of resistors, capacitors and inductors, calculation of the impedance is not straightforward. I need an analytical solution to put into a microsoft excel spreadsheet - not a numerical solution.
I've tried to consult my old school book "Circuits, Devices and Systems" by Smith and Dorf... but I guess I just can't wrap my head around it anymore... my mechanical engineering degree is 14 years back (this class even further), but I like to stay sharp on my math.
Well, you can see the circuit in the attached PDF file - page 1 - where I also started solving 12 equations with 12 unknown... one way of doing it.
Here comes the question - I suddenly thought I could substitute one circuit for another and make it easier to solve. The substituted circuit is shown on page 3 of the same PDF file.
Is this legal, or not?
Here is my line of thought:
In the substituted circuit I have taken the node between Lua and Laf, removed the string to the right side of the circuit, then terminated the right side with two strings to the top. These two strings represents the two ways the current can flow to the top (or bottom, if you like). One of these strings is another Lua, the other is through Laf and Rb.
... Friends of mine (some electrical engineers), could say for sure and recommended to simplify the circuit instead - but I can do that, remove Rb and my trouble is solved (or just hook Rb in parallel with Lua, for example).
Your help will be highly appreciated - even just a direction for an answer.
Best regards,
Claus
This is not really homework - more like a hobby, about loudspeakers, about a model for damping material in cabinets.
My problem is that although the circuit consist of resistors, capacitors and inductors, calculation of the impedance is not straightforward. I need an analytical solution to put into a microsoft excel spreadsheet - not a numerical solution.
I've tried to consult my old school book "Circuits, Devices and Systems" by Smith and Dorf... but I guess I just can't wrap my head around it anymore... my mechanical engineering degree is 14 years back (this class even further), but I like to stay sharp on my math.
Well, you can see the circuit in the attached PDF file - page 1 - where I also started solving 12 equations with 12 unknown... one way of doing it.
Here comes the question - I suddenly thought I could substitute one circuit for another and make it easier to solve. The substituted circuit is shown on page 3 of the same PDF file.
Is this legal, or not?
Here is my line of thought:
In the substituted circuit I have taken the node between Lua and Laf, removed the string to the right side of the circuit, then terminated the right side with two strings to the top. These two strings represents the two ways the current can flow to the top (or bottom, if you like). One of these strings is another Lua, the other is through Laf and Rb.
... Friends of mine (some electrical engineers), could say for sure and recommended to simplify the circuit instead - but I can do that, remove Rb and my trouble is solved (or just hook Rb in parallel with Lua, for example).
Your help will be highly appreciated - even just a direction for an answer.
Best regards,
Claus
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