Forces on Elliptical Current Carying Loop

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In summary, the forces on an elliptical current-carrying loop are influenced by the magnetic field in which the loop is situated. The interaction between the magnetic field and the current generates a torque that tends to align the loop with the field lines. The distribution of current around the elliptical shape leads to varying magnetic forces at different points, resulting in a complex net force and torque. The analysis of these forces is essential for understanding the behavior of electrical devices that utilize such loops, including electric motors and generators.
  • #1
StoyanNikolov
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Thread moved from the technical forums to the schoolwork forums
TL;DR Summary: Forces on Elliptical Current Carying Loop

Please consider Current carrying elliptical 1-turn coil as shown in the picture.

Is it true that due to forces from the current , the elliptical shape of the coil will tend to become circular ?

Thank you.

enter image description here


Source:https://www.google.com/search?clien...ih=524&dpr=2#vhid=SVSd8FPtXwfZTM&vssid=mosaic
 
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  • #2
What are your thoughts on this? Are you familiar with the Lorentz Force on the moving electrons in the current loop? And which equation describes the magnetic field generated by the moving current in that loop?
 
  • #3
Thanks for Reply. I was expecting answer, not a question to my question though.
 
  • #5
DaveE said:
Sounds like a homework problem...
Good point. I'll move it to the schoolwork forums now.
 
  • #6
Thanks. Found A lot of Coil in external magnetic field, but nothing about forces from current carrying coil .

Will the loop try to become circle ?
 
  • #7
StoyanNikolov said:
Thanks for Reply. I was expecting answer, not a question to my question though.
Whelp, you've been a member of PF long enough to know that we don't spoon-feed answers to folks asking questions here (whether for schoolwork or for other interests). Plus, the questions I asked will help to guide us in the best way to reply to your question. If you have no idea about what I asked, then it will be more challenging to reply. If you can post the Lorentz Force equation and the other equation for the B-field generated by a current, then it will be easy to answer your question (by just reminding you about the Right-Hand-Rule)... :smile:
 
  • #8
My question was just will the conductor try to become circle due to current?

Additional explanations are welcome but not mandatory. So Yes or No?
 
  • #10
Answear please. Not additional question or stop posting on this topic. Thank you.
 
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  • #11
StoyanNikolov said:
Answear please. Not additional question or stop posting on this topic. Thank you.
Okay, I'll stop posting; thread is closed.

Based on your infraction history, I think I know what this question is about and what your hoped application is, and those are not compatible with the PF.

Read the links I posted above, and you will be able to answer your own question about the elliptical loop, and see that it does not help your application.
 

FAQ: Forces on Elliptical Current Carying Loop

1. What is an elliptical current-carrying loop?

An elliptical current-carrying loop is a closed loop of wire shaped in an elliptical form through which an electric current flows. The shape of the loop affects the distribution of the magnetic field generated by the current, as well as the forces acting on the loop when placed in an external magnetic field.

2. How do forces act on an elliptical current-carrying loop in a magnetic field?

When an elliptical current-carrying loop is placed in a magnetic field, it experiences forces due to the interaction between the magnetic field and the magnetic field generated by the current in the loop. The Lorentz force acts on each segment of the loop, resulting in a net force and torque, which can cause the loop to rotate or translate depending on the orientation of the magnetic field and the current direction.

3. What factors influence the magnitude of the forces on the loop?

The magnitude of the forces on an elliptical current-carrying loop is influenced by several factors, including the strength of the external magnetic field, the magnitude of the current flowing through the loop, the shape and dimensions of the loop, and the angle between the loop and the magnetic field lines. The current's direction also plays a crucial role in determining the direction of the forces acting on the loop.

4. How does the shape of the loop affect the magnetic field produced?

The shape of the loop significantly affects the distribution of the magnetic field produced by the current. An elliptical loop generates a more complex magnetic field compared to a circular loop. The varying radius at different points along the ellipse leads to a non-uniform magnetic field, which can result in different force distributions on the loop when placed in an external magnetic field.

5. Can the elliptical current-carrying loop be used in practical applications?

Yes, elliptical current-carrying loops can be utilized in various practical applications, such as in inductors, transformers, and magnetic sensors. Their unique shape allows for tailored magnetic field distributions, which can enhance the efficiency and performance of devices in electrical engineering and electromagnetic applications.

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