Hello,
I was giving a random thought to Ohm's Laws and thermal dilation.
As a general rule we are told that ohmic resistors will increase their resistivity if their temperature increases. Does this take into account the fact that its dimensions will change due to thermal dilation?
This would...
What is it that I don't see here?
The potential is very small, and that's also physically ok, but what's the point of comparing it with its variation due to x? This derivative is not even close to zero...
Yes but if it is an approximation I'd like it to be the same to the degree desired. In this case, I want the numerator approximation and the complete derivative to be equal at least to the term in (x/r^5), and the differences in the higher magnitude terms... Which is not the case.. and even with...
Yes it could be as you say that I can't substitute x to r.
However I fear this is not where they are getting at: this is a part of a potential that is used in the description of the gravitational interaction between a spherical object and a much lighter irregular satellite, of which A, B, C are...
Uhm, I don't really understand what you mean about quotes, anyways I think they are saying that x\approx y \approx z and that, on top of that, they are also of the same order of magnitude of r and therefore we can freely exchange x to r.
If I simplify this I get zero, which is even worse than...
So, doing this with regard to x, I get, if I'm copying from the last calculations...
For the complete function:
\frac{\partial V(x,y,z)}{\partial x}=-\frac{3(A+B+C)x}{2r^5}-\frac{3Ax}{r^5}+\frac{15Ax^3}{2r^7}+\frac{15(By^2+Cz^2)x}{2r^7}
Now:
1) if r\approx x then x^3/r^7\approx x/r^5
2) if I...
Hello,
I am about to complete my BSc in Physics and I'd like to pursue a MSc in a field related to Climate or Environmental Physics.
I'd like it to be a mainly experimental curriculum with a decent amount of simulation/data analysis and to be in a country with none to low fees for EU students...
Hello,
I don't understand the following.
I have this function: V(x,y,z)=\frac{(A+B+C)r^2-3(Ax^2+By^2+Cz^2)}{r^5} with r=\sqrt{x^2+y^2+z^2}
and on the textbook they say that if x,y,z are approximately equal or comparable as order of magnitude to r, and if they are all "big" enough (they are...