Recent content by Loonuh

Hello, do you know what alpha and beta are expected to be? Also, is there a charge distribution inside the sphere? I suppose not if it says that the sphere is hollow. I think that you might find this useful to explain the extra term...

1. Homework Statement "Demonstrate that the capacitance of a conductor is always smaller than or equal to that of a conductor which completely surrounds it." 2. Homework Equations - Gauss' law ## \int_S E \cdot d\vec{s} = \frac{Q}{\epsilon_0}## - Surface of conductor is an equipotential...

Is it possible for me to still edit the thread? O don't see that option.

The equations should just be: - Gauss' law - Surface of conductor is an equipotential, V_0 - Electric field is normal to surface conductor - Electric field is 4*pi*sigma in CGS (sigma is charge density) - sigma = Q/Surface Area - Capacitance = Q/V_0 Is there anything Anything else that might...

Can you please explain how the answer is easy to see?

Homework Statement [/B] "Demonstrate that the capacitance of a conductor is always smaller than or equal to that of a conductor which completely surrounds it." 2. Homework Equations /3. The Attempt at a Solution Solving this problem for concentric spherical conductors is easy enough, but I...

Whoops, limits should be +-1/2. I meant that the general solutions to the integrals seem intractable, but I turns out that you only need the 0 and 2 terms to answer all of the parts of the problem, so then this is actually very easy.

Homework Statement Homework Equations /The Attempt at a Solution[/B] I am trying to solve problem 2-13 from my textbook "Principles of Electrodynamics" (see image below). I believe that I should be solving the potential as \varphi(r,\theta) = \sum_{n=0}^\infty (A_n r^n +...

Wow, that was a very obvious mistake, thanks for that correction. I believe that I am free to assume that the wire is of a finite radius. Solving now where the radial derivative term of the Laplacian is expressed as:## \nabla^2 = \frac{1}{r} \frac{\partial}{\partial r} (r...

Homework Statement I am working on a problem that states the following: Imagine an infinite straight wire carrying a current I and uniformly charged to a negative electrostatic potential Φ I know here that the current I will set up a magnetic field around the wire that abides to the right...