Magnetic field far from a solenoid

Click For Summary
SUMMARY

The magnetic field outside a long solenoid behaves like that of a straight wire when observed at a point far from the solenoid. Specifically, the magnetic field at this distance is given by the formula μI/2πR, where μ is the permeability, I is the current, and R is the distance from the wire. This holds true regardless of whether the solenoid is of finite or infinite length, provided it is wound in a spiral configuration. The continuous winding of the solenoid allows it to be treated as a series of infinitesimally small perpendicular turns, effectively resembling a single wire in terms of magnetic field behavior.

PREREQUISITES
  • Understanding of magnetic fields and their properties
  • Familiarity with solenoid physics
  • Knowledge of the permeability of materials (μ)
  • Basic grasp of electromagnetic theory
NEXT STEPS
  • Study the derivation of the magnetic field inside a solenoid using Ampère's Law
  • Learn about the applications of solenoids in electromagnetic devices
  • Explore the differences between finite and infinite solenoids in magnetic field calculations
  • Investigate the effects of solenoid winding configurations on magnetic field distribution
USEFUL FOR

Students and professionals in physics, electrical engineering, and anyone interested in understanding the principles of electromagnetism and solenoid behavior.

jaumzaum
Messages
433
Reaction score
33
I know the magnetic field inside the solenoid is μIn/L and outside is 0 (provided that the point is near the solenoid).

But if we had a long solenoid and choose a point far from the solenoid (and perpendicular to it), would it behave like a wire? Would the magnetic field be μI/2πR?
 
Physics news on Phys.org
jaumzaum said:
I know the magnetic field inside the solenoid is μIn/L and outside is 0 (provided that the point is near the solenoid).

But if we had a long solenoid and choose a point far from the solenoid (and perpendicular to it), would it behave like a wire? Would the magnetic field be μI/2πR?

If the solenoid is wound as a spiral, which it usually is, then the field outside it would be the same as a long straight wire. That's because the coil inside has to be wound continuously from end to end. You can think of the coil as the sum of N (N→ ∞) perfectly perpendicular turns, each with a small gap, and a long single wire joining all the turns at the gaps. Whether the gaps are all lined up or random or any other orientation makes no diff.

In fact, even if the solenoid is not of infinite length, the field outside would be the same as if it was just a single wire, again if it was wound in a spiral.

http://en.wikipedia.org/wiki/Solenoid
 
Thanks man
 

Similar threads

  • · Replies 15 ·
Replies
15
Views
2K
Replies
5
Views
2K
  • · Replies 3 ·
Replies
3
Views
2K
  • · Replies 31 ·
2
Replies
31
Views
3K
  • · Replies 11 ·
Replies
11
Views
4K
Replies
7
Views
2K
  • · Replies 12 ·
Replies
12
Views
2K
  • · Replies 41 ·
2
Replies
41
Views
9K
  • · Replies 1 ·
Replies
1
Views
2K
  • · Replies 5 ·
Replies
5
Views
2K