Consider n infinitely long hollow conducting tube tht is split in half with each half held at the indicated potential.
calculate B_o, B_n, A_n
what equation would plot V(rho, pi/2).
do not need mathcad work.
attatched copy of diagram.© BrainMass Inc. brainmass.com March 21, 2019, 7:19 pm ad1c9bdddf
Hello and thank you for posting your question to Brainmass!
The solution is attached below in two files. the files are identical in content, only differ in format. The first is in MS Word format, while the other is in Adobe pdf format. Therefore you can choose the format that is most suitable to you.
Note that I used r and theta instead of rho and phi (old habits die hard)
Laplace equation is:
With the following boundary conditions:
The potential is finite everywhere, especially at and as :
And the last condition is that the potential is periodical:
Since the system is completely symmetric with respect to the xy plane the potential has no dependence on the z-coordinate and equation (1.1) becomes a two dimensional problem in polar coordinates:
We assume a solution in the form:
The expert examines infinitely long hollow conducting tube.