Recent content by azupol

No academic advisor that is separate from our thesis advisor. I also don't have my thesis advisor yet, we pick in September.

Hi all, I'm starting my grad work in September and I'm trying to decide which courses to take. I'll be doing an M. Sc. in Chemical Physics, and potentially a Ph. D. My undergrad was in Chemistry, with minors in Physics and Math. My tentative choice of thesis topic is coherent control...

Homework Statement A magnetic dipole m is moved from infinitely far away to a point on the axis of a fixed, perfectly conducting (zero resistance) circular loop of radius a and self-inductance L. In its final position the dipole is oriented along the axis of the loop and is a distance z from...

https://www.physicsforums.com/threads/potential-of-spherical-shell-with-nonunifor-surface-charge.776855/#post-4887044

Yes this is exactly what I was looking for thank you! When I integrate, I should get that all terms that are not P1 and P3 drop out due to the orthogonality of the Legendre Polynomials, yes?

Homework Statement A thin spherical shell of radius R carries a surface charge density of the form kcos 3 θ . Find the electric field inside and outside the sphere and demonstrate explicitly that its components satisfy the relevant boundary conditions at the surface Homework Equations The...

Homework Statement A thin spherical shell of radius R carries a surface charge density of the form kcos3 \theta Find the electric field inside and outside the sphere and demonstrate explicitly that its components satisfy the relevant boundary conditions at the surface. Homework Equations...

In light of your post, I figured this: At x=A0, the block is at rest, so the forces acting on it must be balanced. Thus, -kx=umg, and at A0, -kA0=umg, so solving for A0 gives: A0=-umg/k Am I on the right track now?

Homework Statement A mass m is attached to a spring with spring constant k. There is a coefficient of static friction, us The coefficient of kinetic friction is uk Suppose you pull the mass to the right and release it from rest. You find there is a limiting value of x = A0 > 0 below which the...

Homework Statement A box shaped rectangular metal cavity of sides a, b and c along the x, y and z axes, respectively, has one corner at the origin. Of the six sides, all are grounded except the one at x=a and the one at y=b which are held at potentials of V1 and V2 , respectively. Find the...

Thanks for the pointers, I think I've figured it out. Applying the Laplace operator to the potential, I get that ## \Delta V ## will go to infinity at (0, 0, d), but this is precisely calculating the divergence of 1/r2, which is ## 4\pi \delta (r) ## and I think I can take it from there, thanks...

It seems ρ1 = ρ2 in z>0, otherwise the potentials would not agree right? I'm not sure what I can do to show the relationship agrees, maybe take V3=V2-V1 and show that difference must result in a charge of 0 in z>0?

I'm not quite sure I understand what you mean. I'm aware the induced surface charge is in the plane, at z=0. To compensate for the induced surface charge, we place an appropriate charge a distance below the xy plane such that the boundary condition of V=0 at z=0 would be satisfied. What I'm...

Homework Statement In class we were given the classic image problem of a point charge on the z-axis (at z=d) above an infinite grounded conducting plane, the xy plane in this case. We found the potential by getting rid of the plane and placing an image charge at a distance z= -d. Now the...

http://www.scribd.com/doc/66759813/mat223tut1" Question 2 and 3 Homework Statement For what values of c does the system have no solutions? I figured out the other ones, for c=0 we can assign a parameter to x1 and it will then have infinite solutions. For c=1 the system will have a unique...