Recent content by shaun_chou

Thanks a lot!

Homework Statement A sphere of radius a with a total charge q uniformly distributed on the surface and the sphere spins with an angular velocity w Find the electric dipole moment of the sphere/electric field outside the sphere/magnetic dipole moment of the sphere/magnetic induction outside the...

I'm sorry for the stupid question but I really don't know how to get K with the current condition. I'm going nuts with Jackson...sad!

Homework Statement The question is Jackson's 5.35. Insulated coil on a sphere (radius a) to generate uniform field B0 in the z-direction inside the sphere and dipole field outside the sphere. Conductivity is \sigma and permeability is \mu. 1st question is to find the surface current K and...

Homework Statement This problem is at Griffiths 4.13. A very long cylinder of radius a with a uniform polarization perpendicular to the axis. The question is to solve for the field inside the cylinder. Homework Equations \rho_b=P\cdot\hat{n} and \sigma_b=-\nabla\cdot P The Attempt...

Homework Statement Known formula:J_0(k\sqrt{\rho^2+\rho'^2-\rho\rho'\cos\phi})=\sum e^{im\phi}J_m(k\rho)J_m(k\rho') I can't derive to next equation which is e^{ik\rho\cos\phi}=\sum i^me^{im\phi}J_m(k\rho) Homework Equations Can anyone help me? Thanks a lot! The Attempt at a Solution

Thanks a lot for your help.

Homework Statement In solving a question I got a problem of solving the following integral. Your comments are appreciated. Homework Equations \int_{-1}^{1}xP_l'(x)dx=? The Attempt at a Solution I tried to solve by integration by parts, i.e...

Homework Statement I have problems solving the related Laplace equations in the problem Homework Equations \frac{1}{\rho}\frac{\partial}{\partial\rho}\rho\frac{\partial g_m(\rho,\rho^')}{\partial\rho}-m^2g_m(\rho,\rho^')}=-4\pi\frac{\delta(\rho-\rho^')}{\rho} The Attempt at a...

I know that this question was posted before but I just couldn't get it using another way around. So your comments are highly appreciated. In the textbook, \nabla\bullet\left(\widehat{r}/r^{2}\right)=4\pi\delta^{3}\left(r\right). But when I want to calculate the divergence using Catesian...