QuickField

A new approach to field modelling

Main >> Applications >> Sample problems

Ferromagnetic particle force

ferroparticle magnetic force, circular current magnetic force, Amperian loop B-field

A small ferromagnetic particle is placed next to the circular current currying loop of wire.

Problem type:
Axisymmetric problem of DC magnetics

Geometry:
Ferromagnetic particle force A small ferromagnetic particle is placed next to the circular current currying loop of wire I D = 8 cm Magnetic particle

Particle diameter 1 mm.

Given:
I = 50 A - current in the wire;
μ = 1000 - relative magnetic permeability of the particle.

Task:
Calculate the force acting on the particle placed at the axis of the ring as a function of the distance from the ring center.

Solution:
Flux density distribution produced by the circular current could be calculated analytically. However, the particle causes local field distortion. Since the particle and ring feature cylindrical symmetry the model simulated as 2D axisymmetric. Axis of rotation is horizontal.

Results:
Flux density B(z) peak value is 0.78 mT (located at the ring center)
Flux density gradient dB(z)/dz peak value is 17 mT/m (located 2 cm away from the ring center)

Flux density B(z) and gradient dB(z)/dz distribution along the ring axis:

Loop ring current flux density gradient

Magnetic field distortion caused by the ferromagnetic particle.

Magnetic flux distortion cased be magnetic particle

Force acting on a particle as a function of distance from the ring center:

Distance, z Force, Fz
2.5 cm 0.97·10-8 N
2 cm 1.2·10-8 N
1.5 cm 1.3·10-8 N
1 cm 1.2·10-8 N
0.5 cm 0.75·10-9 N

LabelMover tool is used to automate the force vs. distance dependency calculation.
Magnetic force is maximal at 1.5 cm away from the ring center.

Force acting on a particle as a function of distance from the ring center

  • Download simulation files (files may be viewed using any QuickField Edition).
  • New version QuickField 6.5

    Product
    Order
    Evaluation request
    Editions
    Version history
    Packages
    Components
    Programming
    Consulting

    Applications
    Industrial
    Educational
    Scientific
    Sample problems
    Success stories
    Customers

    Support
    Webinars
    Virtual Classroom
    Online courses
    Customer login
    Glossary
    QuickField help
    FAQ

    Downloads
    QuickField Student Edition
    User manual
    Data Libraries
    Video
    Free tools

    News
    Product News
    Events
    Publications
    Subscription

    Contacts
    Tera Analysis info
    Resellers
    Contact us
    Online chat
    About us