Electrodynamics, Potentials, spherical uncharged shells

[Dealingwithphysics]

Homework Statement

using Laplace principle find potential inside an uncharged spherical shell of finite width. shell is placed in an electric field E in z-axis direction.

Homework Equations

in this equation u is potential. equation is called 2-D Laplace’s equation.

The Attempt at a Solution

diagram which i picture in my mind is like as under.

[/B]

 

[Dealingwithphysics]

Homework Statement

using Laplace principle find potential inside an uncharged spherical shell of finite width. shell is placed in an electric field E in z-axis direction.

Homework Equations

View attachment 217586 in this equation u is potential. equation is called 2-D Laplace’s equation.

The Attempt at a Solution

diagram which i picture in my mind is like as under.

[/B]

please don't delete i don't have further info related to problem. its it.

 

[berkeman]

3. The Attempt at a Solution
diagram which i picture in my mind is like as under.

please don't delete i don't have further info related to problem. its it.

Your image did not Upload correctly. As you know, we cannot provide tutorial help until you show us your best efforts to work the problem. Please try again to Upload a JPEG or PDF image of your work, or just type your work into the forum window using the math symbols under the sigma ∑ symbol, or use LaTeX (see the tutorial under INFO at the top of the page, Help/How-To). Thank you.

 

[Mike Stefan]

First is preferably to use spherically coordinates for our two-dimensional
Laplacian. Then you can separate the
variables and actually obtain two different (simple) differential equations.
Upon obeying the Dirichlet boundary conditions you obtain a particular solution depending on an integer.
Then you sum over all values of those
integer numbers in order to obtain a general solution.
so