- #1
giladsof
- 13
- 0
What is the concept of superposition in electrostatics?
- Thread starter giladsof
- Start date
- #2
ideasrule
Homework Helper
- 2,286
- 0
You have the "sphere" and "cylinder" electric fields switched.
Your calculation for the sphere only accounts for electric fields inside the sphere. Outside the sphere, the total enclosed charge remains the same, but the surface area of the Gaussian surfaces changes.
Your calculation for the sphere only accounts for electric fields inside the sphere. Outside the sphere, the total enclosed charge remains the same, but the surface area of the Gaussian surfaces changes.
- #3
giladsof
- 13
- 0
very close.. but not quite there
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...
Boundary conditions:
The derived Dirichlet and Neumann boundary conditions
In terms of the magnetic scalar potential:
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...
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