Laplace Transforms
Dave Antliff
I am a partial EE student - I've just covered Laplace Transforms in class
referring to analogue circuits such as RLC filters, oscillators etc... does
anyone know of a GOOD website that explains the process of using Laplace
transforms beyond simply stating halfway through the problem - "and from
here we can easily show.... left as an exercise for the reader" - note to
authors - please don't do this in your future text-books - it's really
unhelpful!
Please email me a copy of your reply. Thanks.
Regards,
Dave Antliff
dave.a...@usa.net
New Zealand
Chuck Schuler
always said "And the rest is intuitively obvious ..." Yeah, right.
See if you can get a copy of William D. Stanley's book on transform
circuit analysis. He's a good writer.
Glen Walpert
R. LePage, ISBN 0-486-63926-6 is a good book on the subject IMO.
Glen Walpert
In article <93989891...@bats.mcs.vuw.ac.nz>, "Dave Antliff"
Ken Freeman
the practical usage of Laplace Transforms, "do I really have to know
this in order to be a good engineer after I graduate?", the benefits of
understanding them, or ... ?
Ken Freeman
Roy McCammon
> Well, I have no problem understanding why I need them, my grasp of the maths
> behind them is fairly ok - I understand what's going on in the complex
> plane, but it's the actual application (practical usage) that I'm having the
> most difficulty with.
any time you write the impedance of a capacitor
as Z = 1/Cs you are working with a Laplace transform.
Opinions expressed herein are my own and may not represent those of my employer.
Robert
agrees with your ISBN.
Glen Walpert wrote:
> "Complex Variables and the Laplace Transform for Engineers" by Wilbur
> R. LePage, ISBN 0-486-63926-6 is a good book on the subject IMO.
>
> Glen Walpert
>
> In article <93989891...@bats.mcs.vuw.ac.nz>, "Dave Antliff"
Marc Warden
web), but a book you might appreciate:
Numerical Recipes in C, The Art of Scientific Computing, by William H.
Press, Saul A. Taukolsky, William T. Vetterling, and Brian P. Flannery.
'c' source code is provided, but there is discussion about Laplace equations
and Poisson equations in several places in the book that you might find
helpful.
Sincerely,
MarcW.
martin griffith
>here we can easily show.... left as an exercise for the reader" - note to
>authors - please don't do this in your future text-books - it's really
>unhelpful!
Martin
Peter Schimpf
> as Z = 1/Cs you are working with a Laplace transform.
If you wrote it down and didn't know you are working with
a Laplace transformer, now THAT would be scary :-)
(why would you write it down if you didn't know what it was?)
Peter Schimpf
kinds
you requested (books vs websites). Let me add one more to the pile...Maple
mathematical software package. After several courses that touches on
Laplace transforms,
I found Laplace transforms to be a much more understandable and USEFUL tool
when I had a program which could automate as much or as little of the
problem
as I wanted. Once you've solved a number of different problems using the
tool
(without the drudge of the mathetmatics), you start to appreciate it more,
and understand it more. And Maple offers a lot of other "analytical"
equation manipulation/solving
capabilities which are very much in line with the way humans solve
problems...
in contrast to other computer packages which focus more on numerical
solution techniques
which adds much less value in understanding. My guess is you'll use it for
years to come.
When I bought it (3 yrs ago) it was approx $100 for the student version.
Dave Antliff <dave.a...@usa.net> wrote in message
news:93989891...@bats.mcs.vuw.ac.nz...
> Hello,
>
> I am a partial EE student - I've just covered Laplace Transforms in class
> referring to analogue circuits such as RLC filters, oscillators etc...
does
> anyone know of a GOOD website that explains the process of using Laplace
> transforms beyond simply stating halfway through the problem - "and from
> here we can easily show.... left as an exercise for the reader" - note to
> authors - please don't do this in your future text-books - it's really
> unhelpful!
>
Roy McCammon
There are plenty of folks who learned how
to turn the crank without understanding why
it works. Heck, I don't know how Windows
works, but I use it.
Dave Antliff
Ken Freeman wrote in message <3805E9A6...@visteon.com>...
>Dave, are you more concerned about the techniques of Laplace Transforms,
>the practical usage of Laplace Transforms, "do I really have to know
>understanding them, or ... ?
>
Well, I have no problem understanding why I need them, my grasp of the maths
behind them is fairly ok - I understand what's going on in the complex
plane, but it's the actual application (practical usage) that I'm having the
most difficulty with.
Oh, what is the answer to your quoted question?
Thankyou very much to those that have responded. Much appreciated.
Regards,
Dave Antliff
CactusBob
You've sure hit upon one of my pet peeves with authors. I hate
statements such as, "Now that we know....." "So naturally it makes sense
that..." "It goes without saying that...."
It all means the author knows but doesn't know how to explain it, so
therefore he should not be writing technical books. There is a big
difference between an author and a teacher. Many authors fail to know the
difference.
Bob
Robert H. Penoyer
>Hello,
>
>I am a partial EE student - I've just covered Laplace Transforms in class
>referring to analogue circuits such as RLC filters, oscillators etc... does
>anyone know of a GOOD website that explains the process of using Laplace
>transforms beyond simply stating halfway through the problem - "and from
>here we can easily show.... left as an exercise for the reader" - note to
>authors - please don't do this in your future text-books - it's really
>unhelpful!
I strongly recommend "Laplace Transforms for Electronic Engineers,"
James G. Holbrook, Pergamon Press, New York, 1966.
This book goes from the development of Laplace transforms to circuit
analysis, filters, and waveforms. Not only does the author demonstrate
applications, but he discusses very interesting circuits, e.g.,
damping, several RC oscillators, amplifiers, filters, etc. The
presentation is both interesting and readable.
Among the circuits discussed and analyzed are a _passive_ RC network
WITH VOLTAGE GAIN. Also, there is a wideband amplifier (10 Hz to 3
MHz) with a 10-pF input capacitor; yes, 10 pF at 10 Hz!
The point I'm trying to make here is that the book is educational,
informative, and interesting. You'll be glad you have it on your
bookshelf.
William L. Bahn
relief since the instructor was crap) - was "Transform Methods in Circuit
Analysis" by Harrison.
As it happens, I have two copies and would be willing to part with one of
them for roughly half price (plus shipping). Let me know if you are
interested. I also have two copies of "Microelectronic Circuits and Devices"
by Horenstein.
Dave Antliff wrote in message <93992555...@bats.mcs.vuw.ac.nz>...
William L. Bahn
Would say things like "Starting with equation 4-16 and using equations 3-4,
3-9 and 4-12 and noting that such-and-such condition must be met at the
boundaries, we get equation 4-17:"
It was actually a pleasure to walk through the development of every equation
in the book, doing all of the math myself, because a plan was laid out that
I could fall back on if I couldn't see how to get from equation 4-16 to 4-17
all by myself. As a bonus, the first chapter (all of 37 pages long) is a
wonderful development of vector calculus in three dimensions in Cartesian,
cylindrical and spherical coordinates including Div, Grad, Curl, Stokes'
Theorem and the Helmholtz Theorem.
martin griffith wrote in message <38064e1e...@news.mcmail.com>...
>On Thu, 14 Oct 1999 23:58:35 +1300, "Dave Antliff"
><dave.a...@usa.net> scribbled:and from
>>here we can easily show.... left as an exercise for the reader" - note to
>>authors - please don't do this in your future text-books - it's really
>>unhelpful!
William L. Bahn
have the faintest idea where that comes from? What percentage of them have
even ever heard of Fourier Transforms?
And I saw LOTS of engineering students that couldn't tell you where the
Z=1/Cs came from, or why they were using it, or what it meant - and I must
agree with you that it WAS scary (except when I considered that these were
the people I would be competing with). ;-P
Peter Schimpf wrote in message <7u5ku3$etl$1...@bgtnsc02.worldnet.att.net>...
Lemaire patrick
> >
> > > any time you write the impedance of a capacitor
> > > as Z = 1/Cs you are working with a Laplace transform.
> >
> > If you wrote it down and didn't know you are working with
> > a Laplace transformer, now THAT would be scary :-)
> >
> > (why would you write it down if you didn't know what it was?)
>
I have learned
Z = 1 / (2*pi*f*C) currently
Z = 1 / j(2*pi*f*C) or 1 / i(2*pi*f*C) complex form
Z = 1 / pC or 1 / sC laplace form
Dave Antliff
:)
Dave.
Roy McCammon wrote in message <38069BD8...@ieee.org>...
>Peter Schimpf wrote:
>>
>> > any time you write the impedance of a capacitor
>> > as Z = 1/Cs you are working with a Laplace transform.
>>
>> If you wrote it down and didn't know you are working with
>> a Laplace transformer, now THAT would be scary :-)
>>
>> (why would you write it down if you didn't know what it was?)
>