Yes, the R is due to the transmission line.
Oh, thanks for clarifying that impedance matching is not desirable in this case for it would waste half of power.
I still have trouble understanding how we can talk about "generated power" if the transmitted power depends upon the load.
Hello:
I'm confused about transmission lines. According to Faraday's Law, what's induced is an emf that depends on how fast the coils spin, or whatever equivalent to a simple model seen on Physics textbooks.
Power, however, is then assumed constant when talking about the power loss due to...
Summary:: I'm a Physics instructor (no formal Engineering training) in a private college. As part of my job I had to teach Statics and Mechanics of Materials. They now formed a student group to start activities looking to do research and they wanted me as advisor.
Hello guys.
So basically I...
Yeah but quadratic forms don't have linear terms.
Thanks for reminding me of wikipedia. I did find the info I needed (almost) here:https://en.wikipedia.org/wiki/Matrix_representation_of_conic_sections
I found that there is a general form to write the equation of a conic (valid for central...
Hello:
I'm not sure if there's an accepted canonical form for a quadratic equation in two (or more) variables:
$$ax^2+by^2+cxy+dx+ey+f=0$$
Is it the following form? (using the orthogonal matrix Q that diagonalizes the quadratic part):
$$ w^TDw+[d \ \ e]w+f=0$$
$$w^TDw+Lw+f=0$$
where
$$...
Thanks for the ideas both of you Jason and anuttarasammyak. So this seems to fall into the realm of Principal Values I guess. Not sure if it involves generalized (distribution) functions since there aren't any in the end. I'm gland it doesn't involve analytic continuation. It does bother me that...
Hi!
I've computed the integral you mention. It still does not converge (t integration results in
$$ \frac{u}{1+u^2} $$
and plugging this into the u integral it diverges logarithmically (a direct change of variables will yield evaluating $$\frac{1}{2} Log(1+u^2)$$ between s and infinity).
So...
So, I know the direct definition of the Laplace Transform:
$$ \mathcal{L}\{f(t) \} = \int_0^\infty e^{-st}f(t)dt$$
So when I plug in:
$$\frac{\cos(t)}{t}$$
I get a divergent integral.
however:https://www.wolframalpha.com/input/?i=+Laplace+transform+cos%28t%29%2F%28t%29
is supposed to be the...
Hello. I am reading Hibbeler's Mechanics of Materials (ninth edition). Example 7.5 computes shear flow at a segment where there are nails attached to different boards.
He chooses a cut like the one shown here:
And gets (by symmetry between C and C') the shear flow q computing the first moment...
Hello:
I was reading about thin-walled members under shear force, specifically example 7-7 of Hibbeler's Engineering Mechanics, Mechanics of Materials.
First, the fourth Edition:
As you can see above. He starts by computing the moment of inertia on the first equation by subtracting a rectangle...
Hi. I am aware of this convention (this is what Hibbeler and Beer use) but this fails for vertical members and it's already stated in that wikipedia article: "Since a horizontal member is usually analyzed from left to right and positive in the vertical direction is normally taken to be up, the...
Hello:
I was looking for a widespread convention (akin to Hibbeler's, Beer's, etc) that deals with the sign convention of a vertical bar for bending moments.
For example, without knowing in advance, how do I draw the bending moment at a cut passing through point E in the figure attached?
Beam...
Hi.
I was reading about conductors in electrostatic equilibrium and how it makes sense that they have zero electric field inside the material even when an external charge is brought near. The charge density of the material just rearranges itself to cancel. Then I searched for hollow conductors...