Electric Potential: Find Potential Everywhere with q and -q on Z-Axis

Crazy Gnome
Messages
13
Reaction score
0
1. Homework Statement
Two point charges q and -q are located on the z axis at (x,y,z) = (0,0,a) and (0,0,-a) respectively.

Find the potential \phi everywhere



3. The Attempt at a Solution

I know all the equations and such, I just don't know how to integrate it. I am guessing that it is in cylindrical coordinates.
 
Physics news on Phys.org
I don't think cylindrical coordinates or integration will be necessary. What is the formula for the potential due to a point charge? And are you familiar with the principle of superposition?
 
Thread 'Need help understanding this figure on energy levels'
This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
Thread 'Understanding how to "tack on" the time wiggle factor'
The last problem I posted on QM made it into advanced homework help, that is why I am putting it here. I am sorry for any hassle imposed on the moderators by myself. Part (a) is quite easy. We get $$\sigma_1 = 2\lambda, \mathbf{v}_1 = \begin{pmatrix} 0 \\ 0 \\ 1 \end{pmatrix} \sigma_2 = \lambda, \mathbf{v}_2 = \begin{pmatrix} 1/\sqrt{2} \\ 1/\sqrt{2} \\ 0 \end{pmatrix} \sigma_3 = -\lambda, \mathbf{v}_3 = \begin{pmatrix} 1/\sqrt{2} \\ -1/\sqrt{2} \\ 0 \end{pmatrix} $$ There are two ways...
Back
Top