smarty: please rewrite your message with proper punctuation marks and better organized (and leave blank lines to separate ideas)... I couldn't understand anything from it.
Sorry... :$
Yes, that is true... I know... but there are no electrons going through the capacitor, so it is not a fortunate name. I was afraid that smarty misunderstood it as if real charges were involved "jumping the gap". It didn't seem he had the proper background for introducing the Maxwell-Ampere's Law...
Think the capacitor as a black box you see from outside. If you make any change in the applied voltage across this black box, you see electrons going into the device from one side, and electrons (the same amount) leaving the device from the other, so, you describe it as a current flowing through...
That h[n] doesn't seem to decay, so it will never fall bellow 1% of its initial value.
But, for others h[n] which do decay, I will solve for n this simple inequality:
h[n] < 0.01 · h[0]
Thanks Jason. You were very clear.
(I will use my own spooky language here because many years have passed since I did a course on ODE's and I forgot the correct terminology)
By separation of variables one usually gets the "structure" of an "atomic" solution, and then has to arrange a...
Thanks for all that.
I have very little experience with distributions, but I think I got the essence of the step in which H and Dirac's delta appear.
But I still feel I can't state the conditions under which this method work and how "general" is the solution founded.
I'm having a lot of...
It was very clear and useful. Thanks.
But, how do we know that linear combinations of the solutions found by setting u(x, t) = X(x)·T(t) span the entire set of solutions. It is as simple as saying "all functions are expresable in terms of the Fourier basis"?
Although I'm very familiar with...
Hi. This is my first post in PF. I'm an undergraduate student of Electronics Engineering with strong interest in math & physics (and weak understanding of them :P).
One of the things I always hate is when in some book (or some lectures) ODEs or PDEs are solved after the magic words "[...] and...