Magnetic Field Outside Infinite Solenoid

Click For Summary
SUMMARY

The magnetic field outside an infinite solenoid is definitively zero due to the absence of magnetic field lines emerging from the ends of the solenoid. This conclusion is supported by the understanding that an infinite solenoid has no ends, which eliminates the circular loops typically associated with finite solenoids. The intuitive reasoning involves the deformation of the magnetic field lines, which approach hemispherical shapes, reinforcing that no field lines extend beyond the solenoid's length.

PREREQUISITES
  • Understanding of magnetic fields and solenoids
  • Familiarity with the concept of infinite solenoids
  • Basic knowledge of magnetic field line behavior
  • Ability to visualize geometric transformations of magnetic fields
NEXT STEPS
  • Study the properties of magnetic fields in finite solenoids
  • Learn about Ampère's Law and its application to solenoids
  • Explore the concept of magnetic field lines and their behavior in different geometries
  • Investigate the mathematical derivation of magnetic fields in infinite solenoids
USEFUL FOR

Physics students, educators, and anyone interested in electromagnetism, particularly those studying the behavior of magnetic fields in solenoids.

jegues
Messages
1,085
Reaction score
3

Homework Statement



See figure attached.

The author claims the field outside this infinitely long solenoid with N' turns and a current i(t) flowing through it is 0, but he doesn't explain why.

Why is it 0? Is there an intuitive reasoning behind it?

Homework Equations



N/A

The Attempt at a Solution



N/A
 

Attachments

  • EX4.13.JPG
    EX4.13.JPG
    57.7 KB · Views: 1,143
Physics news on Phys.org
It's NOT zero.

[PLAIN]http://img266.imageshack.us/img266/3547/solenoidlarge.jpg

Because there is a magnetic field outside of a solenoid, a solenoid made from a solenoid actually has a magnetic field!

For all practical purposes for a linear solenoid, this is a very good approximation:

[PLAIN]http://img215.imageshack.us/img215/4861/solenoid.jpg

Infinite solenoids have no ends, so the circular loops you see coming out of the ends of the solenoid aren't there in the simplification.

The intuitive reasoning behind this is that when you deform the pseudo-ellipse shaped loop of the exterior solenoid field, a single loop will approach hemispheres. Not only will the arc of the hemisphere be infinitely far away from any point in along the solenoid, since the solenoid is infinitely long, there will never be lines emerging from the ends of the solenoid.
 
Last edited by a moderator:

Similar threads

  • · Replies 15 ·
Replies
15
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
Replies
7
Views
2K
  • · Replies 9 ·
Replies
9
Views
2K
Replies
8
Views
2K
Replies
5
Views
2K
  • · Replies 7 ·
Replies
7
Views
2K
  • · Replies 31 ·
2
Replies
31
Views
3K
  • · Replies 1 ·
Replies
1
Views
2K
Replies
25
Views
3K