Recent content by Gauss

Remember that Torque = F*R (dot product), and the overall torque of the system has to be 0, otherwise the system would be in movement.

Hey bjorn, Were you given an answer to check your work with? EDIT: Also do you know where the mass is located on the beam?

Thank you both! I'll watch the video, re-read the section in the book dealing with this and talk with some friends. The help has been much appreciated.

The distribution equation describes the distribution of molecular energies for a gas in thermal equilibrium. The derivation of the distribution equation is not done and N(E) is instead attributed to being given by the Maxwell-Boltzmann distribution. What you wrote is the same as the given...

N(E) refers to the distribution of molecules at respective energies, so the expected number of molecules to be found at a certain interval (between E and E+dE).

I just double checked the problem and all the information I've written appears to be correct. Maybe the book answer is wrong, though this seems unlikely.

The number of molecules between E and E+dE is some fraction of N and what we're trying to solve. The distribution equation was given earlier in the chapter and describes the likelihood of certain energies occurring in the system.

I used 8.62*10^-5 evK for Boltzmann, but it still seemed to not work. Everything else is either unitless or in eV.

Yep! You were calculating the speed as opposed to the velocity, these two are often confused as are distance and displacement.

Hey Sullivan. Velocity is a vector function, so direction is important. Displacement refers to the distance between an initial and final point; in this case, your initial point is where you start and your final point is where you end. You found that the distance between these two points is 36.9...

No problem, glad to help!

Yes that's the correct integral. So you've derived B = μ0I/2πR. The magnetic field strength "H" is related to B by H = B/μ0 + M. You aren't concerned about the magnetization "M" for this problem so H = B/μ0. All you have to do is divide your derived equation by μ0, and you have proven what was...

Actually the integral of dl is definite, so you don't need to include + C. Ignore the wire for a second. Imagine all you are doing is integrating a cylinder (while not considering the two end faces, just considering the body). This cylinder has a radius R. l is an infintesimal slice of this...

Oh I'm sorry I misspoke. I meant to say substitute this into Ampere's Law. Since you recognized B is constant you got B∫dl which is correct. However, the integral of dl isn't only l. For this integral you are integrating a cylinder around the wire. The way Ampere's Law works is that you...

Since the interval was small, a Riemann sum approximation appeared to provide a result close enough to an integration. I get that there would be some error from this approximation, but I don't think it would account for the four degrees of magnitude by which I'm off. For ease, we've been...