Calculating total impedence....

[Paul Burridge]

So use
*algebra* to put the 's' domain solution into a recognized canned form. Use the
canned form to convert to the time domain. Voilà, no calculus. The Laplace
Transform is your best friend.

A better friend even than the Smith Chart?

 

[Paul Burridge]

And if I may go slightly off topic (I've gotten really good at that in my
declining years), I have started to re-read "The World of Mathematics" by
James R. Newman which I haven't opened since I was sixteen. It's more than a
tool...it's a foolosophy....er.....philosophy.

Hmm. I wonder if there's a Big Dummy's Guide to calculus?

 

[Joe Legris]

Hmm. I wonder if there's a Big Dummy's Guide to calculus?

I haven't seen one. How about a Complete Idiot's Guide?

http://www.amazon.com/exec/obidos/t..._books_2/102-0774420-3131321?v=glance&s=books

The reviews look good.

There is also "Quick Calculus" which is something of a "classic" (2nd
ed., 1985), but some reviewers say it's still full of errors.

http://www.amazon.com/exec/obidos/A...7607731/sr=2-1/ref=sr_2_1/102-0774420-3131321

 

[Fred Bloggs]

Hmm. I wonder if there's a Big Dummy's Guide to calculus?

Calculus stumps a lot of people. If background math is your weak point
then don't waste money on these rip-off products that implicitly promise
everything will come across as a revelation from the aether. You want
something with specific application coverage and this would be what is
popularly known as "Technical Mathematics" - these textbooks tend to be
excellent and comprehensive. Something along the lines of this would be
good:
http://www.amazon.com/exec/obidos/A...7609878/sr=2-1/ref=sr_2_1/103-1145825-7711046

That short Wiley thing is a rip-off for wannabe yuppies and all the
reviewers can be seen to be ignorant illiterates-pathetic.

 

[Bill Sloman]

Thanks. I've managed to dig up a Smith Chart from my other computer's
hard disk. It'll be instructive to see if the graphical approach I'm
about to take here will agree with the predictions of your
arithmetical one.

Only in as far as it tells us something about your competence.

This whole thread belongs on sci.electronics.basics. As should mine on
LaPlace transforms ...

 

[Baphomet]

Hmm. I wonder if there's a Big Dummy's Guide to calculus?
--

I have the Big Dummy's Guide on "How to be a Big Dummy". I learned well ;-)

"Windows [n.], A thirty-two bit extension and GUI shell to a sixteen bit patch
to an eight bit operating system originally coded for a four bit
microprocessor and produced by a two bit company."

 

[Paul Burridge]

Only in as far as it tells us something about your competence.

This whole thread belongs on sci.electronics.basics. As should mine on
LaPlace transforms ...

I suspect..... you may be....right.... :-|

 

[gwhite]

A better friend even than the Smith Chart?

The Smith chart is a great tool, and yes it makes finding driving point
impedances of ladder networks (at a given frequency) bone-head easy. But it
won't ever give you the transient response like the Laplace Transform will.
That was specifically what I was referring to.

 

[Paul Burridge]

The Smith chart is a great tool, and yes it makes finding driving point
impedances of ladder networks (at a given frequency) bone-head easy. But it
won't ever give you the transient response like the Laplace Transform will.
That was specifically what I was referring to.

I'm sorry if this is a stupid question, but what use is the transient
response? Under what circumstances would one need to know it?

 

[Baphomet]

I'm sorry if this is a stupid question, but what use is the transient
response? Under what circumstances would one need to know it?

--

Loosely, the transient response of a network is how the network responds to
a stepped input (fast risetime waveform like a square wave, pulse etc.) It
is useful to show the risetime and ringing characteristics of the network's
transfer function.

 

[John Woodgate]

I read in sci.electronics.design that Paul Burridge
[email protected]>) about 'Calculating total impedence....', on Sat, 1 Nov
2003:

I'm sorry if this is a stupid question, but what use is the transient
response? Under what circumstances would one need to know it?

If you were feeding pulses into the network.

 

[Paul Burridge]

I read in sci.electronics.design that Paul Burridge
[email protected]>) about 'Calculating total impedence....', on Sat, 1 Nov
2003:


If you were feeding pulses into the network.

But why would I want to do such a thing? Sorry, but I fail to see the
point of it. :-/

 

[John Woodgate]

I read in sci.electronics.design that Paul Burridge
[email protected]>) about 'Calculating total impedence....', on Sat, 1 Nov
2003:

But why would I want to do such a thing? Sorry, but I fail to see the
point of it. :-/

You must learn that pulses are today and the future. Sine waves are old
technology. Digits Rule, 01! (;-)

 

[Paul Burridge]

I read in sci.electronics.design that Paul Burridge
[email protected]>) about 'Calculating total impedence....', on Sat, 1 Nov
2003:

You must learn that pulses are today and the future. Sine waves are old
technology. Digits Rule, 01! (;-)

Bah! I'm an analogue man. The stuff I'm interested in is primarily RF,
so transients are of no more than passing interest - unless of course,
you know better.

 

[YD]

Bah! I'm an analogue man. The stuff I'm interested in is primarily RF,
so transients are of no more than passing interest - unless of course,
you know better.

If it rings it's (potentially) unstable.

- YD.

 

[Paul Burridge]

If it rings it's (potentially) unstable.

Thanks! I've thrown my phone away. Looks like I'm stuck with e-mail
only now, but it's better to be safe than sorry!
;-)

 

[YD]

Thanks! I've thrown my phone away. Looks like I'm stuck with e-mail
only now, but it's better to be safe than sorry!
;-)

Stay away from church bells

- YD.

 

[Ian Buckner]

I read in sci.electronics.design that Paul Burridge
[email protected]>) about 'Calculating total impedence....', on Sat, 1 Nov
2003:

You must learn that pulses are today and the future. Sine waves are old
technology. Digits Rule, 01! (;-)

Bah! I'm an analogue man. The stuff I'm interested in is primarily RF,
so transients are of no more than passing interest - unless of course,
you know better.

--

"Windows [n.], A thirty-two bit extension and GUI shell to a sixteen bit patch
to an eight bit operating system originally coded for a four bit
microprocessor and produced by a two bit company."

Transient response is of significant interest at RF for
TDMA systems and radar, for example.

Regards
Ian

 

[Paul Burridge]

Transient response is of significant interest at RF for
TDMA systems and radar, for example.

I'm just wondering about something someone said earlier in the thread.
|s the idea of pulsing an analogue RF circuit to deliberately try to
induce it to oscillate and thereby show up any inhrerent instability
in the system?
That would make a certain amount of sense. OTOH, there's something I
dimly recall about somone-or-other's factor. You carry out a
calculation using a relatively simple formula and if the answer comes
out at less than one, the system will be stable; if the answer's 1 or
more, then it's liable to oscillate. Anyone remember this or am I
dreaming it?
It's been a long while and one's memory can play tricks.

 

[gwhite]

Bah! I'm an analogue man. The stuff I'm interested in is primarily RF,
so transients are of no more than passing interest - unless of course,
you know better.

We know better.

http://www.noblepub.com/np-39.html

The _TIME_ domain aspect of filtering cannot be ignored for anything but the
most rudimentary voice systems or low bit per hertz of bandwidth systems.


Anyway, you put _total_ impedance in the header. So use 's'.