All Questions
Tagged with electromagnetism linear-algebra
10
questions
-2
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answers
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singular positive semi-definite matrix in electromagnetism
anyone knows where he drew this conclusion from?
- 171
4
votes
1
answer
70
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Linear system $Ax=y$ with partially known $x,y$ and non singular $A$
PHYSICAL INTUITION
While proving the equivalence between the Dirichlet problem (i.e. the potential is known on the surface of every conductor) and the mixed problem (i.e. the potential is known on ...
- 1,179
0
votes
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44
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Finding the change of basis matrix for a type (0,1) tensor
I am considering a tensor (in particular, the electric field), defined by
$$E_m = g_{ij}^k c_{k\ell}^{ij}S_{\ell m} $$
Ultimately, this means that the tensor E is a rank 1, type (0,1) tensor, ...
4
votes
4
answers
482
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Why do cross products not change their sign under an inversion of coordinates?
I always understood that the direction of a cross product was determined by the right-hand rule regardless of the handedness of the coordinate system we're working in. The only way a cross product ...
- 43
1
vote
0
answers
90
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Unconstrained quartic optimization
I am working on antenna array pattern synthesis algorithms, and am trying to minimize the following expression with respect to $\mathbf{v}$
$$ \int_\Omega \Big[ \big( \mathbf{v}^H \mathbf{Y}(\vartheta,...
- 11
3
votes
2
answers
392
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'Ugly' Simultaneous equations with 4 variables
I have to solve the following 'Ugly' Simultaneous equations to solve a problem on my textbook of physics. The problem is originally discussed on the thread but, it was unfortunately categorized by ...
- 665
0
votes
1
answer
45
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voltage matrix doesn't have a solution
Circuit Problem
Follow the link to the circuit that I need to solve for all the resistor voltage drops.
I have to make 5 linearly independent equations in order to solve for all 5 unknown voltages. ...
- 155
0
votes
1
answer
336
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Kirchhoff's Law and Highest Potential Node
I'm quite confused on how does Kirchhoff's law work in a closed network (seen as a graph), if current could only flow from a higher potential node to a lower potential node.
In my linear algebra ...
- 3
0
votes
1
answer
3k
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Plane orthogonal to the x-axis
I am solving an image charge problem and the setting is that a grounded conducting plane is orthogonal to the $x$-axis at $x = 0$. There is a short line charge of length $L$ pointing in the $\hat{i}$-...
- 3
1
vote
1
answer
134
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Translation and a rotation of the magnetic field of a line segment
I need to solve the magnetic field created by a wire with an arc shape. This integral is very complicated, so I decided to approximate the arc into circular chords and calculate the magnetic field of ...
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