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Why is flux of magnetic field always zero for closed surfaces?

If it holds, the local form of the of the "non-existence" of the magnetic monopole is the Gauss' law for the magnetic field, $$\nabla \cdot \mathbf{b}(\mathbf{r},t) = 0 \qquad \forall \, \...
basics's user avatar
  • 10.7k
3 votes

Ampere's law on solenoid, using a circular loop

So, you're just doing: $$ \epsilon \rightarrow 0 $$ but never getting there, and then asking: "Hey, why is $\epsilon \ne 0$" The field outside the solenoid is not zero, it is only zero if: ...
JEB's user avatar
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2 votes

Why did static magnets make ice melt faster?

The magnets are metallic, so they are better heat conductors. Just repeat your experiment with some non magnetic material like copper, it will melt even faster. So it has nothing to do with magnetism....
trula's user avatar
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1 vote

Why is flux of magnetic field always zero for closed surfaces?

All these things are certainly true, but that is exactly the beauty of working in the differential notation of $\nabla \cdot \overrightarrow{B} = 0$. With the divergence theorem (https://en.wikipedia....
Robrecht Keijzer's user avatar
1 vote

Magnetic static field simulation software to model metals in Earth's magnetic field

This is a more complex problem than you might think. Assuming a linear B-H relationship with no hysteresis makes it slightly less complex. The only analytic solutions I know of are for sphere and ...
Mariano G's user avatar

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