Recent content by RawrSpoon

Ahhhh it makes sense now. The reason the distinguishable particles is Z(\beta , 2) = (1+e^{-\beta \varepsilon})^{2} is because expanding the expression gives two different states where E_{i}=\varepsilon right? That means that for fermions, Z=e^{-\beta \varepsilon} since E_{i} can ONLY be...

Ok so then Z(\beta , N) = \sum_i e^{-\beta E_{i}} = (e^{-\beta (0)})+(e^{-\beta \varepsilon})+(e^{-2 \beta \varepsilon}) I assume that E_{i} is the total energy of each microstate, so given the microstates {AA,0}{A,A}{0,AA} I assume the energy is 0, \varepsilon, and 2 \varepsilon Is this...

Homework Statement Consider a system of two quantum particles. Each particle has two quantum states, one with zero energy and one with energy ε>0. For each of the three cases, draw a table of the possible microstates α of the system, and find the canonical partition function Z(β). a)The two...

I seem to have just copied E incorrectly from my paper, but I have exactly what you mentioned on my paper, so sorry about the mixup! Gotcha, so multiplying by 1/2 is incorrect. This makes sense, since upon reflection on your response, I've concluded that multiplying by 1/2 was a mistake. Thank...

First off, thank you so much for replying! I did some progress on this, I'm not sure if it's right. So I did something similar, albeit x=\frac{\beta \hbar \omega}{2} This gave me Z_{qm}(T) = \frac {e^{-x}}{1-e^{-2x}} = \frac {1}{e^{x}-e^{-x}} = \frac {1}{2 sinh(x)} = \frac {csch(x)}{2} I...

Long time no see, PhysicsForums. Nevertheless, I have gotten myself into a statistical mechanics class where the prof is pretty brutal and while I can usually manage, this problem finally has me stumped. I'd like to be nudged in the right direction, not outright given the answer if possible. I...

If I'm understanding you correctly, that means that C1 is 0, right? At least for these purposes. As such I get that F_{mag}=\frac{q^2E_0^2}{mc(\gamma^2+\omega^2)}\Big(\gamma cos^2(kz-\omega t)-\omega sin(kz-\omega t)cos(kz-\omega t)\Big)\hat{z} Which would give me an average of...

Funnily enough I JUST tried it about 30ish minutes ago. I think I did it wrong though, it's kind of a large equation and, to be fair, I let Mathematica solve it for me. Anyway, I tried the following m\frac{dv}{dt}+\gamma mv=qE_0cos(kz-\omega t) which led me to v(t)=\frac{qE_0}{m(\gamma ^2+\omega...

Homework Statement Consider a particle of charge q and mass m, free to move in the xy plane in response to an electromagnetic wave propagating in the z direction (might as well set δ to zero) a) Ignoring the magnetic force, find the velocity of the particle, as a function of time. (Assume the...

Homework Statement Calculate the force of magnetic attraction between the northern and southern hemispheres of a uniformly charged spinning spherical shell, with radius R, angular velocity ω, and surface charge density σ. Use the Maxwell Stress TensorHomework Equations F=\oint \limits_S \...

Nevermind, I solved it after all! I used my original method by finding the sum of the two components of work and realized that the volume element in cylindrical coordinates is s ds d\phi dz so I solved the integrals that way, which gave me a variation of the solution. I had completely forgotten...

Homework Statement Consider the charging capacitor in problem 7.34 (A fat wire, radius a, carries a constant current I, uniformly distributed over its cross section. A narrow gap of wire, of width w, w<<a, forms a parallel-plate capacitor) a) Find the electric and magnetic fields in the gap, as...

I hadn't done one like that problem actually so thank you so much for that! And I'm a little disappointed the integrals are very difficult by hand, but at least now I know a little better when to use Ampere's Law. Thank you.

Not really homework but I figured this was the best place to post anyway. 1. Homework Statement I want to find the magnetic field B for an arbitrary solenoid using the Biot-Savart Law. I can find it easily through Ampere's Law, but I'd like mastery over the Biot-Savart Law. Homework Equations...

Hey all, me again. This time my question has to do with projectile motion with air resistance from a given height. Homework Statement A cannon is located on a cliff of height h. If the muzzle velocity of a projectile is v0, find the range of the projectile when the drag is proportional to the...