Recent content by mda

While I agree that electrodynamics are generally more interesting, there are a number of interesting problems in modern physics that can be accurately modeled using electrostatics. So it's not all boring.

Have you converted the time correctly?

Then the electron energy associated with this potential is 0.36eV, which as you have shown is 5.76E-20 J. Generally energy = charge * potential.

No, 0.36eV = 5.76E-20 J

Think about the spacing of the slides at the opposite edge... what is the form of the spacing across the slide? So what is the condition for each minima? (hint: your equation is incomplete). Once you understand that it should be fairly straightforward.

Yes, that tells you how many Joules in 0.36eV.

What makes you think you're doing something wrong? I can see one syntactical mistake (X. * Y.; should be X.*Y;) but otherwise it looks ok

The result given by Matlab will be correct, assuming you have adopted the same sign conventions when setting up the analytic FT. In particular the antisymmetry of X results in imaginary x. Also, this looks like a QM problem, and as far as I know there's no reason you can't have an imaginary...

I'm not sure why you'd want the hollow shell case... The way I'd do it is to use Gauss' law to work out the vector E for a uniformly charged sphere (it is a very simple expression) Then do the superposition of the two spheres at a given point r, remembering to allow for change of coordinates...

You question is still a bit broad, but I'll bite. Firstly I don't think the central difference is defined correctly... it should be f'(x_0) = [f(x_0+h/2) - f(x_0-h/2)] / h You're being asked to compute the convergence of the error of forward and central differentials, by comparing to the best...

Are you sure? it is a symmetric potential with infinite boundaries

Also, the original integral can alternatively be expressed in terms of Lommel functions, but again more complication and much less obvious from the outset.

Actually it can, but it involves Struve functions and obviously that makes life more complicated.

Firstly I do not work directly with radar/sonar so I'm shooting off the cuff here, and very much depends on the details. If you are going to be working on new techniques three things you will need to be familiar with are Fourier transforms, wave propagation and wave scattering. Fourier is a...

The human body is not a closed system... think about it.