Recent content by xWaffle

Homework Statement I need to find an expression for the gain in this circuit. I know it is an interting amplifier, because with the models we were given to look at, this one fits the inverting amlpifier. I've also constructed a simulation in a simple Java applet that I have. My problem...

You guessed it, we're using Griffith's. If you can call it "using." We aren't assigned reading, we aren't assigned problems out of the book. 99% of the time when that happens in a class, you think to yourself, "why do I even need this book, then?" I have purchased all of the books for all of...

Hello all, I'm taking my first actual quantum course this semester. I went over "briefly" some quantum mechanics Fall of 2012 in a Modern Physics course during my sophomore year, currently I'm a junior. To get straight to the point, this course is making me miserable. I had high hopes for...

Homework Statement I need to prove for arbitrary functions φ(x) that: \lim_{\lambda \to 0} \int_{-\infty}^{\infty} \frac{1}{\sqrt{2 \pi} \lambda} exp\left( \frac{-x^{2}}{2 \lambda^{2}} \right) \varphi(x) dx = \varphi(0), which, in the sense of distributions is basically the delta...

Homework Statement \Psi (x) = C e^{i k_{0} x} e^{\frac{-x^{2}}{2 a^{2}}} Find \left\langle x \right\rangle, \left\langle x^{2} \right\rangle, \left\langle p \right\rangle, \left\langle p^{2} \right\rangle.Homework Equations Operators make a "psi-sandwich": \left\langle x \right\rangle =...

Thank you, I think I got what I needed from there. It just seemed like too simple of a problem. _____________ Now, would anyone happen to be able to tell me why a signal inverts iitself when coming back down the coaxial cable if we've shorted the other end? I know the math that explains...

Homework Statement We measured the time between a signal source, and it's reflection coming back through our probe after going through an open-ended coaxial cable. My teacher told us this: the cable has a polyethylene insulator between central wire and the grounding web, which has a...

It's an assignment, I'm much more than capable of solving this with more traditional means, but I can't submit that work. I don't have my notebook at the moment but from memory, when using power series, you assume y = \sum_{n=0}^{\infty} a_{n}x^{n} Which means y' =...

Homework Statement When solving a D.E. with power series, I've encountered something along the lines of: (2 - r)^{2}g'' = -2 Homework Equations Power Series The Attempt at a Solution I know I am just supposed to assume such a series exists, and work from there. But I'm really...

Maybe I'm jumbling up notation.. The value I was calling x0 is where the function is a minimum value, and then I need to approximate the function for when |x - x0| is <<< than x0 I was assuming I needed to use some sort of series because it's included in the "series" part of the assignment

But how am I supposed to find this value of x-zero to use in the series? I thought I had to use the series to find it. Or do I take its limit as it approaches zero, or..? I'm still lost

Homework Statement I have the equation f(x) = \frac{\lambda^{2}}{ax^{2}}-\frac{\gamma ab}{x} What I am assigned to do is find a value of x at it's smallest, then approximate the value of the function when x - x(smallest) is much much greater than x(smallest). Homework Equations f(x) = f(0)...

Homework Statement Find absolute maxima and minima of the function in the given region: T(x,y) = x2 + xy + y2 - 6x Region: Rectangular plate given by: 0 ≤ x ≤ 5, -3 ≤ y ≤ 3 Homework Equations First derivative test, fx =0, fy = 0 Second derivative test, fxxfyy - fxy2 = ? The...

It's great that I've worked out what I have done so far, I've come to some realizations that I didn't really notice before. But my question was (and I guess I should have worded it better), does the order of the eigenvalues in the diagonal matter? Seeing how, for example, calculating the...

I've actually found that the diagonal of the 5x5 is just its eigenvalues down the main diagonal. But, is the order important? I found the eigenvalues of the 2x2 and 3x3's, and they're all the same as the eigenvalues of the 5x5, which would mean they are the elements of the diagonal 5x5.. but...