All Questions
6
questions
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Boundary Conditions on the Magnetic Flux Density (B-field)
My question is similar to this one (Boundary conditions magnetic field) in that it is related to the boundary conditions of the magnetic field (B-field). However, my question focuses on mathematically ...
- 665
0
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0
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63
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Electric field flux proportional to the field lines generated by (for example) a static charge
Suppose we have a stationary positive charge at a point in space that we call $+Q$. We know by definition that the flow of the electrostatic field is given by, in its simplified form,
$$\Phi_S(\vec E)=...
- 7,792
0
votes
0
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82
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Electric Field felt at the origin of a hemisphere
I want to calculate the Electric Field that is felt at the origin $O$ provoked by a hemisphere of radius $R$ with uniform charge density $\sigma$.
I used spherical coordinates: $\vec{r} = -R(\sin(\phi)...
- 653
1
vote
0
answers
73
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Representing flux tubes as a pair of level surfaces in R^3
I am trying to see if Vector fields(I am thinking of electric and magnetic fields) without sources(divergence less) can be represented by a pair of functions f and g such that the level surfaces of ...
- 341
4
votes
2
answers
118
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Can a small change to the magnetic field result in infinite changes to the vector potential?
Consider a magnetic field, $\mathbf{B}(x,z)$ given by
$$\begin{aligned}
\mathbf{B}(x,z) &= [B_x(x,z),\ B_y(x,z),\ B_z(x,z)] \\
&= \left[-\frac{l}{k}\cos(kx),\ -\sqrt{1-\frac{l^2}{k^2}}\cos(kx),...
- 1,027
2
votes
1
answer
87
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How to find the critical point for this Coulomb field
Two equal positive charges are at distance $d$, $-d$ from the origin on the $y$ axis. What is the distance on the $x$ axis beyond which a small perturbation in $y$ will move a particle away from the $...
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