# Thread: Calculation of the magnetic field ring current and the magnetic flux through the closed surface

1. 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.  2.

3. Originally Posted by geca2000 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.

How can something be calculated that may be a random variable?  4. Originally Posted by theorist How can something be calculated that may be a random variable?
Magnetic induction and flux are not "random variables", but precisely determined by Maxwell's equations. Hence they can be calculated.  5. Originally Posted by Markus Hanke  Originally Posted by theorist How can something be calculated that may be a random variable?
Magnetic induction and flux are not "random variables", but precisely determined by Maxwell's equations. Hence they can be calculated.
The magnetic lines are a "pink invisible unicorn" and do not exist, they only represent direction of the field. Doe's the field not "shift", or "change shape", by the F of other magnetic fields?.  6. Originally Posted by theorist Doe's the field not "shift", or "change shape", by the F of other magnetic fields?.
If the field does move, due to other fields or moving charges, then that can be calculated.  7. Originally Posted by Strange  Originally Posted by theorist Doe's the field not "shift", or "change shape", by the F of other magnetic fields?.
If the field does move, due to other fields or moving charges, then that can be calculated.
The universe is constantly "changing state", the universe is constantly "in motion", can all this be calculated then, do we have everything accounted for?  8. We don't have to calculate everything. The magnetic fields on Alpha Centauri have no effect on the Earth. Even the magnetic field of the Sun and the Earth can usually be ignored in practical applications. And where they are significant, then they can be taken into account.  9. Originally Posted by Strange We don't have to calculate everything. The magnetic fields on Alpha Centauri have no effect on the Earth. Even the magnetic field of the Sun and the Earth can usually be ignored in practical applications. And where they are significant, then they can be taken into account.
So magnetic fields have "limited field of range", so "unless in close vicinity", they have no effect?  10. Originally Posted by theorist The magnetic lines are a "pink invisible unicorn" and do not exist, they only represent direction of the field.
Yes, of course, they are a convenient visualisation, nothing more.

Doe's the field not "shift", or "change shape", by the F of other magnetic fields?.
The OP was about an isolated current ring. There are no "other magnetic fields" in this setup.

The universe is constantly "changing state", the universe is constantly "in motion", can all this be calculated then, do we have everything accounted for?
No, not by a long shot. But again, the OP was only about a single isolated current loop, nothing more and nothing less. You need to stay within the setup given.

So magnetic fields have "limited field of range", so "unless in close vicinity", they have no effect?
No, magnetic fields have unlimited range, but the further you go from the "source", the less the induction is going to be. If you are very far away the field becomes so weak that it can be neglected for most purposes.  11. Originally Posted by geca2000 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
That is false, look here.  12. Why so rude?
I'm talking about any point in space  13. Originally Posted by geca2000 Why so rude?
I'm talking about any point in space
The solution extends quite easily to arbitrary points in space. I remember solving the same exact problem when I was in 12-th grade, there is nothing special about it.    15. Originally Posted by geca2000   