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0 votes
1 answer
85 views

2 magnet bars are placed in same plane and one of them can rotate freely. The relation as system is balanced [closed]

Each magnet is in same plane. $$ \ell \ll r $$ The magnet1 has been fixed. The magnet2 can rotate with center of the magnet itself. $$ \theta_{1} ~~,~~ \theta_{2} :=\text{each angle between the ...
electrical apprentice's user avatar
1 vote
0 answers
47 views

Why shouldn't I choose my boundary limits corresponding to the direction I'm integrating?

I have a question regarding the choice of boundary limits when it comes to vector integrals. Why shouldn't I always choose the boundary limits corresponding to the direction I'm integrating. I.e why ...
mhj's user avatar
  • 43
6 votes
2 answers
2k views

Proof of Ampère's law from the Biot-Savart law for tridimensional current distributions

Let us assume the validity of the Biot-Savart law for a tridimensional distribution of current:$$\mathbf{B}(\mathbf{x})=\frac{\mu_0}{4\pi}\int_V \mathbf{J}(\mathbf{y})\times\frac{\mathbf{x}-\mathbf{y}}...
Self-teaching worker's user avatar
0 votes
0 answers
203 views

Regarding Ampere's Circuital Law

If I am to show that Ampere's Circuital law holds true for any arbitrary closed loop in a plane normal to the straight wire, with its validity already established for the closed loop being a circle of ...
Prish Chakraborty's user avatar
1 vote
3 answers
128 views

What is the relationship between $V(t)$ and $V(x,y,z)$

I was recently asked this by a friend. He told me that coming from a physics background, he does not understand $V(t)$ and he believes it is purely theoretical construct made up by circuit theorists....
Fraïssé's user avatar
  • 1,734