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The classical theory of electric and magnetic fields, both in the static and dynamic case. It also covers general questions about magnets, electric attraction/repulsion, etc. Distinct from electrical-engineering.

0 votes
1 answer
906 views

Why do charges accumulate at the surface and at the the tip of the needle?

If we place a positive charge on a conductor, why will the charges distribute themselves only on the surface and why is the distribution uneven like for the second image describing a needle? (This is …
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2 votes
1 answer
67 views

Why isn't the magnetic field density zero here?

In my lecture notes for magnetostatics, my professor has this explanation of why H is not necessarily $0$ that I dont understand. $$\nabla \times \bf{H} = \bf{J} \\ \bf{J}=0 \Rightarrow \nabla \times …
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  • 285
0 votes
1 answer
264 views

Eelectric and magnetic field inside a conductor cavity

Assume we have an external field outside a conductor that has cavity inside. I know that E field is 0 inside that cavity for electrostatic and time varying case but I dont understand what happens to t …
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  • 285
0 votes
1 answer
112 views

Faraday's law. Why does the induced current flow this way?

We have this stationary loop in a time-varying B-field. The current I (in red) is induced by the changing field B(t). This current in turn induces a B field that opposes the changing field due to righ …
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  • 285
0 votes
1 answer
340 views

Electric field inside uniformly distributed charges

One of the problems I was solving states that "By Gauss’ law the electric field inside a sphere of uniformly distributed charges is 0". I don't understand how that is possible. I thought that this was …
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3 votes
1 answer
456 views

Equation of Continuity statements I dont understand

There are two statements about Equation of Continuity in my professors notes that I don't understand. $$ \nabla \cdot \textbf{J} = - \frac{\partial\rho}{\partial t} $$ The Equation of Continuity can …
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  • 285
2 votes
0 answers
60 views

How is magnetic dipole "created"?

I know that the electric dipole can be created when the electron cloud is displaced realative to the nucleus. I am trying to draw parallel to this and to better understand this topic, so please help m …
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  • 285
0 votes
1 answer
35 views

Trouble with enterpreting Faraday's Law

$$ \nabla \times \textbf{E} = -\frac{\partial \textbf{B}}{\partial t} $$ My interpretation of this equation is that: A steady magnetic field will result in an electric field that is $0$. A varying ma …
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  • 285
0 votes
1 answer
939 views

Charge density in a conducting sphere

We charge a conductive sphere with charge $Q$. Charges on a charged conductive sphere go towards the surface so then the volume charge density is 0 which makes surface charge density $Q$. Is my statem …
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  • 285
1 vote
3 answers
1k views

Why is the curl of magnetic field $0$ outside the conductor and non-zero inside? [duplicate]

I dont understand why the magnetic field does not curl outside the cable, according to this example, since I would expect the magnetic field lines to go back on themselves around the cable like shown …
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  • 285
4 votes
2 answers
59 views

Where does one more '$\rm m$' come from in the units?

$$\nabla \times A = B$$ $A$ is vector magnetic potential, $\mathrm{Wb/m}$ $B$ is magnetic field intensity, $\mathrm{Wb/m^2}$ Where does one more m come from for $B$? Is that from the gradient operator …
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  • 285
0 votes
1 answer
49 views

Polarization of a material

Can someone explain where this minus comes from? Aren't $a_R$ and $a_n$ parallel so the dot product should be 1. The radius increases outwards aswell as the surface $a_n$, right?
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