Calculation of the magnetic field ring current and the magnetic flux t

  • Thread starter geca2000
  • Start date
  • #1
2
0
This work was motivated by the lack of open source analytic formulas for calculating the magnetic field of a current ring at any point in space As the result of the theoretical calculations, which are based on the law of "Bio Savart Laplace", the analytical formulas giving the ability to calculate the magnetic induction vector of the ring current at any point in space were generated. The experimental confirmation of the theoretical formulas was obtained.


On the basis of the above formulas for the calculation of the magnetic field were obtained analytical formulas for the calculation of the flow through a closed surface, such as a thick-walled pipe. Theoretical calculations have shown that the magnetic flux through the given closed surface is not zero in general case.



https://sites.google.com/site/ringmagneticfield/home
 

Answers and Replies

  • #2
vanhees71
Science Advisor
Insights Author
Gold Member
17,946
8,909
I haven't followed your calculation in detail, but if there are closed surfaces such that
[tex]\int_F \mathrm{d} \vec{F} \cdot \vec{B} \neq 0,[/tex]
then your calculation must be wrong, because [itex]\vec{\nabla} \cdot \vec{B}[/itex] must be fulfilled and then by Gauß's integral theorem the magnetic flux through any closed surface must vanish.
 
  • #3
2
0
I was counting the magnetic flux on the basis of its determination. The fact that, in theory, it should be zero - I know
 

Related Threads on Calculation of the magnetic field ring current and the magnetic flux t

Replies
4
Views
3K
Replies
35
Views
1K
  • Last Post
Replies
3
Views
697
  • Last Post
Replies
1
Views
2K
Replies
1
Views
9K
Replies
0
Views
6K
Replies
3
Views
717
Replies
2
Views
3K
Replies
0
Views
490
Top