Calculating magnetic field of an infinite strip.

Click For Summary
SUMMARY

The discussion focuses on calculating the magnetic field generated by an infinite strip carrying a current density J in the z-direction. According to Ampere's Law, the magnetic field on the y-axis for |y| > b is directed negatively along the x-axis for y > b and positively for y < -b. The participants emphasize the necessity of integrating to find the magnetic field, as a suitable Ampere path is not readily apparent. The right-hand rule is applied to determine the direction of the magnetic field.

PREREQUISITES
  • Understanding of Ampere's Law and its application in electromagnetism.
  • Familiarity with the right-hand rule for determining magnetic field direction.
  • Basic knowledge of current density and its implications in magnetic field calculations.
  • Integration techniques for solving physics problems involving continuous charge distributions.
NEXT STEPS
  • Study the application of Ampere's Law in different geometries, particularly infinite current distributions.
  • Learn about the Biot-Savart Law for calculating magnetic fields from current-carrying wires.
  • Explore advanced integration techniques used in electromagnetism problems.
  • Investigate the effects of varying current densities on magnetic field calculations.
USEFUL FOR

Students and professionals in physics, particularly those focusing on electromagnetism, as well as educators seeking to enhance their understanding of magnetic field calculations related to current distributions.

Berrius
Messages
19
Reaction score
0

Homework Statement


Given an infinite long (in the z-direction), with width 2b in the y-direction and no thickness in the x-direction. There is a current with density J in the z-direction.
Calculate the magnetic field on the y-axis if |y| > b.


Homework Equations


Amperes law: ∫B*dS = μ0*I

The Attempt at a Solution


My first thought was that the strip is build out of infinite wires, so according to the right hand rule the magnetic field would be in the negative x-direction for y > b and the positive x-direction for y < -b. But I see no possibility to choose a suiting ampere path.
 
Physics news on Phys.org
Hi Berrius! :smile:
Berrius said:
Amperes law: ∫B*dS = μ0*I

(use ds for length, not dS, or the examiner may think you mean area)
… I see no possibility to choose a suiting ampere path.

so integrate! :wink:
 

Similar threads

Replies
3
Views
2K
Replies
9
Views
1K
Replies
11
Views
5K
Replies
16
Views
2K
Replies
2
Views
1K
Replies
36
Views
6K
Replies
2
Views
1K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
8
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K