Magnetic field outside a solenoid in 3D in terms of position

Click For Summary
SUMMARY

The discussion focuses on modeling the magnetic field outside a solenoid in 3D, specifically off-axis, for an inductive proximity sensor. The magnetic scalar potential, denoted as phi_m, is derived from a Legendre polynomial expansion as detailed in "Classical Electromagnetism" by Franklin. The relationship between the magnetic field B and the scalar potential is established through the equation B = -grad phi_m. This method, while effective, is acknowledged as complex.

PREREQUISITES
  • Understanding of magnetic fields and solenoid theory
  • Familiarity with scalar potentials in electromagnetism
  • Knowledge of Legendre polynomials
  • Proficiency in vector calculus, specifically gradient operations
NEXT STEPS
  • Study the derivation of magnetic scalar potential from Legendre polynomial expansions
  • Explore the application of vector calculus in electromagnetism
  • Investigate the behavior of magnetic fields around solenoids
  • Learn about inductive proximity sensors and their operational principles
USEFUL FOR

Physicists, electrical engineers, and students studying electromagnetism, particularly those involved in sensor technology and magnetic field modeling.

aravindk87
Messages
1
Reaction score
0
Magnetic field outside a solenoid in 3D(off axis)

Hey all,
I am modeling an inductive proximity sensor and require the formula for the magnetic field just outside a solenoid off axis. In terms of a particle's position.i.e.(x,y,z). I have searched a lot of places. But most of the results show it to be zero. Please help.
 
Last edited:
Physics news on Phys.org
The magnetic scalar potential, phi_m, for a single loop is given as a Legendre polynomial expansion in "Classical Electromagnetism" by Franklin.
This can be integrated to give the scalar potential for a solenoid.
Then B=-grad phi_m.
That is the simplest way, but it is quite complicated.
 

Similar threads

Undergrad Magnetic field at a point along the solenoid's axis but outside the solenoid
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Can nested solenoids trap particles?
  • · Replies 12 ·
Replies
12
Views
1K
Graduate Magnetic field outside a solenoid
  • · Replies 5 ·
Replies
5
Views
3K
High School Magnetic force driving a small iron ball
  • · Replies 4 ·
Replies
4
Views
2K
Undergrad Magnetic field outside of a solenoid conceptual
  • · Replies 3 ·
Replies
3
Views
6K
Graduate Induced current in a coil from a constant uniform magnetic field?
  • · Replies 5 ·
Replies
5
Views
2K
Undergrad Where Can I Find a High-Turn Solenoid for Low Current and Strong Magnetic Field?
  • · Replies 9 ·
Replies
9
Views
2K
Undergrad Magnetic field outside a solenoid
  • · Replies 2 ·
Replies
2
Views
5K
Undergrad Resulting magnetic field due to the passage of an AC current
  • · Replies 27 ·
Replies
27
Views
3K
Calculating magnetic field outside a solenoid
  • · Replies 15 ·
Replies
15
Views
2K