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...
Thank you, I think I got what I needed from there. It just seemed like too simple of a problem.
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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...
Homework Statement
Noether's theorem asserts a connection between invariance principles and conservation laws. In section 7.8 we saw that translational invariance of the Lagrangian implies conservation of total linear momentum. Here you will prove that rotational invariance of L implies...
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
Compare the wavelengths of a particle when it passes a barrier of height (a) +V0 and (b) -V0 where E > |V0|. Calculate the momentum and kinetic energy for both cases.
Homework Equations
(see below)
The Attempt at a Solution
I know the wavelength changes in the...
Homework Statement
Compare the wavelengths of a particle when it passes a barrier of height (a) +V0 and (b) -V0 where E > |V0|. Calculate the momentum and kinetic energy for both cases.
Homework Equations
(see below)
The Attempt at a Solution
I know the wavelength changes in the...