Let f be analytic on {z : 0 < Im z < 1} and continuous on the closure of this set.
Suppose that f(z) = 0 if z is real. Show that f is identically zero.
Any help please?
Arne wants to move in Leuven (54°N) with such a high speed that the vertical component of the Coriolis force cancels out the gravitational force. In which direction should he move to keep his speed as small as possible? How big is this speed? How big is the horizontal component of the Coriolis...
I sort of get that, I think (about the field forming closed paths etc).
But there is one problem left for me: let's look at the path the charge is following. Is the induced field tangent to the path, or is it perpendicular to the tangent, or... ? I really don't see this.
So the induced electric field shouldn't be seen as the "classical" electric field (having a magnitude and direction etc) but rather as a sort of "friction force"? The direction of the induced electric field depends on how the flux is changing? What happens in empty space then, if the magnetic...
I've got some serious problems understanding Faradays law.
I think any changing magnetic field will create/induce an electric field through empty space. Is that correct? And if so, what is the direction of the field? I mean, the electric field vectors must have *some* direction, but I can't...
This shouldn't be too hard but I'm struggling.
Consider N identical particles in a box of volume V. The relation between their linear momentum and kinetic energy is given by E = c\left|\overrightarrow{p}\right|, where c is the speed of light. So, the Hamiltonian of the system is...
I have a Dutch translation of Alonso & Finn, 1984. I'll try to translate:
"Example 1.7. Calculate the most probable energy and speed of gas molecules at a given temperature; these values correspond to the maxima of dn/dW and dn/dv.
Solution: to find the maximum of dn/dW, given by equation...
Does the Maxwell-Boltzmann speed distribution hold for all ideal gases or just for the mono-atomic ones? If it holds for all gases, why? What happens with the degrees of freedom, don't they change things?? I'm very confused.
No, this is not what I mean. We've got some Boltzmann distribution for the energy of a particles, something of the form dn = \frac{2\pi N}{\left(\pi kT\right)^{3/2}} W^{1/2} e^{-W/kT} dW. Suppose we want to find the energy which appears more than any other energy - consider it as some kind of...
I don't understand why the most probable energy and the energy corresponding to the most probable speed do not coincide, this seems completely illogical to me. I get the mathematical argument but I can't find and reasonable physical explanation. Also, I didn't find any explanation on the website...