All Questions
7
questions
0
votes
1
answer
86
views
What are some ways to derive $\left( \boldsymbol{E}\cdot \boldsymbol{E} \right) \nabla =\frac{1}{2}\nabla \boldsymbol{E}^2$?
For each of the two reference books the constant equations are as follows:
$$
\boldsymbol{E}\times \left( \nabla \times \boldsymbol{E} \right) =-\left( \boldsymbol{E}\cdot \nabla \right) \boldsymbol{E}...
- 105
6
votes
3
answers
590
views
Equation describing the electric field lines of opposite charges
Right now I am preparing for IPhO and the book I had mentions about the "Field lines"
as a curve which has the property which any tangent line to the curve represents the direction of the ...
- 83
3
votes
1
answer
110
views
Nabla commutation in electromagnetism
I don't know how to work with the 'reversed' dot product operator,
$$v\cdot \nabla$$
I arrived to expressions like this trough doing some calculus, and I don't know how to continue with the calculus ...
- 529
0
votes
1
answer
199
views
Divergence of inverse cube law
My intuition tells me that the divergence of the vector field
$$\vec{E} = \dfrac{\hat{r}}{r^3} $$
should be zero everywhere except at the origin. So I think it should be
$$ \vec{\nabla}\cdot \vec{...
- 453
0
votes
1
answer
75
views
Practice Superposing Fields Integral
I've been doing practice problems from Andrew Zangwill's Modern Electrodynamics as I have an exam next week. I am having a bit of difficulty following this integral in the solution's manual:
How do ...
- 13
0
votes
1
answer
253
views
Electric field uniform circle $R$ direction cancel out
I am doing a physics problem involving a uniform circle with a total charge of X, and am attempting to find the electric field on a point charge on the axis of the circle a distance of Z away.
I ...
- 411
2
votes
0
answers
366
views
insulator based gauss law questions
My book is incredibly scarce on insulator based Gauss law questions. Conductors seem to handle themselves pretty simply.
Here's a question I'm working on that isn't part of my book.
where the radii ...
- 225