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Main >> Applications >> Sample problems

Mu-metal cylinder shield for the static magnetic field shielding - QuickField simulation example

Static magnetic shielding of a cylindrical mu-metal enclosure for axial and transverse applied fields, comparing shielding effectiveness in both orientations.. Example is prepared by Professor James R. Claycomb as a part of the webinar QuickField for Electromagnetic Shielding Applications.

Engineering question

How effective is a cylindrical mu-metal shield for axial and transverse static magnetic fields?

Answer
Use an axisymmetric model for axial excitation and a plane-parallel model for transverse excitation, then compare the residual flux density inside the shield.

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Typical applications
mu-metal cylindrical shields, low-field magnetic shields, precision instrument shielding

Mu-metal cylinder shield for the static magnetic field shielding

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Simulation problem

Problem Type
Axisymmetric problem of DC magnetics.

Geometry
Mu-metal cylinder shield >Mu-metal cylinder shield for the static magnetic field shielding L=10cm D=10cm

Given
Relative magnetic permeability of mu-metal μ = 10000,
External field B = 0.5 T.

Problem:
Determine the shielding factor for axial and transverse field direction.

Solution
Two problems were simulated: axisymmetric (mu_metal_rz.pbm) for the axial magnetic field and plane-parallel (mu_metal_transverse.pbm) for the transverse magnetic field. Uniform external magnetic field was defined by assigning non-zero vector magnetic potential on the simulation area boundary.

Results
Magnetic field strength distribution in case of the axial magnetic field
Axial magnetic field strength inside the shield

Magnetic field strength distribution in case of the transverse magnetic field
Transverse magnetic field strength inside the shield

Magnetic flux density
inside the cylinder shield
Axial field 78 mT (16%)
Transverse field 0.56 mT (0.1%)

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