Calculating Mutual Inductance of Two Rectangular Loops

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Homework Help Overview

The discussion revolves around calculating the mutual inductance of two identical rectangular loops of wire that lie in the same plane. The problem involves complexities related to the magnetic field generated by one loop and its effect on the other, particularly when only one loop carries current.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to use Neumann's formula but encounters a challenging integral. They also consider calculating the magnetic field at the center of the second loop and question the validity of this approach. Other participants suggest providing more details about the attempts made to solve the problem and express similar uncertainties regarding their own understanding of the situation.

Discussion Status

Participants are actively engaging in clarifying the problem and exploring different methods to approach the calculation. There is a recognition of the need for more information about the attempts made, and some participants express a shared struggle with the problem, indicating a collaborative atmosphere for seeking help.

Contextual Notes

There is mention of potential confusion regarding which components of the magnetic field contribute to the flux in the second rectangle, highlighting the need for further clarification on the setup and assumptions involved in the calculations.

kseniya
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I am a student of the electrical engineering in the university of Munich. I tried to solve a homework but I have some difficulties.
I have tried to use different methods. unfortunately, unsuccessfully.
I will be very glad if you could help me. in fact I wanted to calculate the mutual inductance of two rectangular loops ( very thin wire) . both loops are identical and lie in the same plane. (Length c; wide b, a-b is the distance between them …see picture please) only in one of both loops flows strom I.
I have tried to calculate directly with the Neumann's formula, however, I get a very difficult integral, impossibly to solve:-( I have also tried to calculate the B field only in the center of the second rectangle (I’m not sure if that’s right). however, ordinarily the B field of (the first rectangle) must be calculated everywhere and then its flux in the second rectangle)
I have tried over again to accept the first rectangle as two very long thin wires and then to calculate the B field of both wires and then their flux in the secod rectangle, however, I do not know if the approach is right. as said I am a little bit lost and need your help.:cry: I will be glad if I will get a feedback from you .
I apologise for my bad english:blushing:http://www.imagup.info/images/03/1181839013_induc.jpg .[/URL]
I wish you a nice day!

Kseniya
 
Last edited by a moderator:
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try right subforum.

and write down more of what you have done to solve this, maybe you started out right and then did something wrong.
 
thank you for your tip malawi_glenn, i will try another sub-forum.
 
(I'll move this to the Intro Physics forum.)
 
it will be so nice from you if you can move it to the intro Physics forum, I'm new hier. may be it's better.
thank you Doc Al
 
Now if you provide us with what you have done so far, maybe we can help you.
 
i have the same problem with ksenya...i tried to solve it but i am not sure...
please help me..
 
ti have tried o calculate the B field of both wires and then their flux in the second rectangle, however, I do not know if the approach is right...i am not sure that the uppon and the under wires have a flux in the second rectangle...i think that only the flux of the right and the left one must be calculated...please help me
 

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