Re: Circuit with two poles?



On Sat, 02 Feb 2008 01:23:20 -0600, gokul_s1 wrote:
(top posting fixed)
On Fri, 01 Feb 2008 19:45:23 -0600, gokul_s1 wrote:

I am looking for a circuit whose transfer function (V(z)/I(z))
comprises
just two poles. Is it possible to build such a circuit using just RLC
elements?

Thanks for your help

Gokul

Theoretically, how about this:


o---UUUU---o-----o
|
===
|
o----------o-----o

Practically, any real circuit will have an infinite number of poles and
zeros; at lower frequencies you can very effectively pretend that the
circuit matches theory exactly.

--
Tim Wescott
Control systems and communications consulting
http://www.wescottdesign.com

Need to learn how to apply control theory in your embedded system?
"Applied Control Theory for Embedded Systems" by Tim Wescott
Elsevier/Newnes, http://www.wescottdesign.com/actfes/actfes.html

Why does a practical circuit have infinite poles and zeros? Is it
because the circuit elements are actually distributed and not lumped as
they are usually assumed to be?

-Gokul

More or less. You may want to consider the lead-lead capacitance of your
inductor as another lumped element, and the lead inductance of your
capacitor as a lumped element, but ultimately you get down to the fact
that the elements are distributed.

Sometimes you can get by with assuming that the elements are perfect, or
perfect with just one or two parasitic elements. Sometimes you just have
to accept that their distributed -- it all depends on the physical
construction of your circuit, your needs, and the frequency that it's
operating at.

--
Tim Wescott
Control systems and communications consulting
http://www.wescottdesign.com

Need to learn how to apply control theory in your embedded system?
"Applied Control Theory for Embedded Systems" by Tim Wescott
Elsevier/Newnes, http://www.wescottdesign.com/actfes/actfes.html
.



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