Magnetic field at the centre of a circular current loop

Click For Summary

Homework Help Overview

The discussion revolves around calculating the magnetic field at the center of a circular current loop using Ampere's law. The original poster presents an equation and expresses confusion regarding the application of Ampere's law in this context.

Discussion Character

  • Conceptual clarification, Assumption checking

Approaches and Questions Raised

  • Participants question the validity of using Ampere's law for determining the magnetic field at the center of the loop, with some suggesting that it may only apply in symmetric cases. There is a focus on understanding why Ampere's law is not applicable in this scenario.

Discussion Status

The discussion is exploring the limitations of Ampere's law in this context, with participants providing insights into when the law is applicable. There is no explicit consensus yet, but the conversation is delving into the reasoning behind the use of Ampere's law.

Contextual Notes

Participants note that Ampere's law is valid in general but may not yield direct relations for certain configurations, such as a circular current loop. The discussion highlights the need for specific conditions to apply the law effectively.

dk_ch
Messages
44
Reaction score
0

Homework Statement



How to calculate the magnetic field at the centre of a circular current (I) loop of radius r using Ampere law

Homework Equations


B = μ0I/2r

The Attempt at a Solution


I take circulation along the circular closed path of radius r passing through the center of the loop and obtain wrong relation B = μ0I/2πr
[/B]
 
Last edited:
Physics news on Phys.org
You can not use Ampere's law to find the magnetic field at any point in the loop - nor at center , nor at any other point inside the loop .
 
Qwertywerty said:
You can not use Ampere's law to find the magnetic field at any point in the loop - nor at center , nor at any other point inside the loop .
The circuital law helps to determine magnetic field due to current in case of solenoid ,toroid and straight current carrying wire. Why does it fail for circular current loop?
 
dk_ch said:
The circuital law helps to determine magnetic field due to current in case of solenoid ,toroid and straight current carrying wire. Why does it fail for circular current loop?
Firstly , Ampere's law , is obviously valid always .

However , since it does not give us a direct relation of magnetic field with a certain quantity , it is useful in finding the magnetic field in only certain symmetric cases , whereby we are able to separate out B , and are able to equate it to such a quantity .

In the cases you mention , we have used certain conditions to actually find the magnetic field . For example , in the case of the straight current carrying wire , we assume it is of infinite length .

Hope this helps .
 

Similar threads

Replies
4
Views
1K
Replies
10
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
Replies
2
Views
1K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
4
Views
2K
  • · Replies 8 ·
Replies
8
Views
2K
Replies
7
Views
2K
  • · Replies 10 ·
Replies
10
Views
2K
  • · Replies 2 ·
Replies
2
Views
3K