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GLOSSARY OF TERMS

AIR GAP VOLUME

Vg

the useful volume of air or non- magnetic material between magnetic poles; measured in cubic centimeters.

AREA OF THE AIR GAP

Ag

or the cross sectional area of the air gap perpendicular to the flux path - the average cross sectional area of that portion of the air gap within which the application interaction occurs. Area is measured in sq. cm. in a plane normal to the central flux line of the air gap.

AREA OF THE MAGNET

Am

the cross sectional area of the magnet perpendicular to the central flux line, measured in sq. cm. at any point along its length. In design, Am is usually considered the area at the neutral section of the magnet.

CLOSED CIRCUIT CONDITION

when the external flux path of a permanent magnet is confined, with no air gap, with high permeability material.

CURIE TEMPERATURE

Tc

the transition temperature above which a material loses its magnetic properties.

ENERGY PRODUCT

BdHd

the energy that a magnetic material can supply to an external magnetic circuit when operating at any point on its demagnetization curve; measured in megagauss-oersteds (MGO or MGOe) or kilojule per meter (kJ/m).

ENERGY PRODUCT, MAXIMUM

(BH)max

the maximum product of (BdHd) which can be obtained on the demagnetization curve.

FIELD STRENGTH, MAGNETIC

H

(magnetizing or demagnetizing force) - the measure of the vector magnetic quantity that determines the ability of an electric current, or a magnetic body, to induce a magnetic field at a given point; measured in Oersteds (Oe) or Ampere turns per meter (A/m).

FLUX, LEAKAGE

 

flux, ø, whose path is outside the useful or intended magnetic circuit: measured in maxwells or Webers.

FLUX, MAGNETIC

ø

the surface integral of the magnetic induction, B, over an area, A. 

          ø = ∫ ∫ B • dA 

where: 

ø = magnetic flux, in maxwells 

B = magnetic induction, in gauss 

dA = an element of area, in square centimeters

FLUXMETER

 

an instrument that measures the change of flux linkage with a search coil; an integrating voltmeter.

FORCE, COERCIVE

Hc or Hcb

of a material - equal to the total demagnetizing force required to reduce B to zero.

FORCE, INTRINSIC COERCIVE

Hci or Hcj

a material’s resistance to demagnetization. Equal to the total demagnetizing force required to reduce the intrinsic induction, Bi, in the material to zero.

FORCE, NET EFFECTIVE MAGNETIZING

Hs

the magnetizing force required in the material, to magnetize to saturation.

GAUSS

 

the unit of magnetic induction, B, in the cgs electromagnetic system. One gauss is equal to one maxwell per square centimeter.

GAUSSMETER

 

an instrument that measures the instantaneous value of magnetic induction, B. Its principle of operation is usually based on one of the following: the Hall- effect, nuclear magnetic resonance (NMR), or the rotating coil principle.

GILBERT

 

the unit of magnetomotive force, F, in the cgs electromagnetic system.

HYSTERESIS LOOP

 

a graph showing the relationship between the induced magnetic flux density (B) and the applied magnetizing force (H). It is often referred to as the B-H loop.

INDUCTION IN THE AIR GAP, MAGNETIC

Bg

the average value of magnetic induction over the area of the air gap, Ag; or it is the magnetic induction measured at a specific point within the air gap; measured in gauss.

INDUCTION, INTRINSIC

Bi or J

is the contribution of the magnetic material’s induction to the total magnetic induction, B. It is the vector difference between the magnetic induction in the material and the magnetic induction that would exist in a vacuum under the same field strength, H. This relation is expressed by the equation: 

          Bi = B –H 

where: 

Bi = intrinsic induction

B = magnetic induction

H = field strength

INDUCTION, MAGNETIC

B

the magnetic field induced by a field strength, H, at a given point. It is the vector sum, at each point within the substance, of the magnetic field strength and resultant intrinsic induction. Magnetic induction is the flux per unit area normal to the direction of the magnetic path.

INDUCTION, REMANENT

Bd

any magnetic induction that remains in a magnetic material after removal of an applied saturating magnetic field, Hs. (Bd is the magnetic induction at any point on the demagnetization curve; measured in gauss.)

INDUCTION, RESIDUAL

Br

or residual flux density, the magnetic induction corresponding to zero magnetizing force in a magnetic material after saturation in a closed circuit; measured in gauss.

INDUCTION, SATURATION INTRINSIC

Bis or Js

the maximum intrinsic induction possible in a material.

IRREVERSIBLE LOSSES

 

partial demagnetization of the magnet, caused by exposure to high or low temperatures external fields or other factors. These losses are recoverable by re-magnetization. Magnets can be stabilized against irreversible losses by partial demagnetization induced by temperature cycles or by external magnetic fields

KEEPER

 

a piece (or pieces) of soft iron placed on or between the pole faces of a permanent magnet to decrease the reluctance of the air gap and thereby reduce the flux leakage from the magnet. It also makes the magnet less susceptible to demagnetizing influences.

LEAKAGE FACTOR

f

accounts for flux leakage from the magnetic circuit. The ratio between the magnetic flux at the magnet neutral section and the average flux present in the air gap. 

          f = (Bm Am)/(B Ag)

LENGTH OF THE AIR GAP

ℓg

the length of the path of the central flux line of the air gap; measured in centimeters.

LENGTH OF THE MAGNET

ℓm

the total length of magnet material traversed in one complete revolution of the center- line of the magnetic circuit; measured in centimeters.

MAGNETOMOTIVE FORCE

F

or magnetic potential difference - the line integral of the field strength, H, between any two points, p1 and p2. 

                 p2 

          F = ∫ H dl 

               p1

where: 

F = magnetomotive force in gilberts 

H = field strength in oersteds 

dl = an element of length between the two points, in centimeters

MATERIAL, ANISOTROPIC (ORIENTED)

 

material with better magnetic properties in a given direction.

MATERIAL, ISOTROPIC (NOT ORIENTED)

 

material with equal magnetic properties in all directions.

MAXIMUM SERVICE TEMPERATURE

Tmax

the maximum temperature to which the magnet may be exposed with no significant long range instability or structural changes.

MAXWELL

 

the unit of magnetic flux in the cgs electromagnetic system. One maxwell is one line of magnetic flux.

NEUTRAL SECTION

 

a plane passing through the magnet perpendicular to its central flux line at the point of maximum flux.

OERSTED

 

the unit of magnetic field strength, H, in the cgs electromagnetic system. One oersted equals a magnetomotive force of one gilbert per centimeter of flux path.

OPEN CIRCUIT CONDITION

 

when a magnetized magnet is by itself with no external flux path of high permeability material.

OPERATING LINE

 

a straight line passing through the origin of the demagnetization curve with a slope of negative Bd/Hd. (Also known as permeance coefficient line.)

OPERATING POINT

 

that point on a demagnetization curve defined by the coordinates (BdHd) or that point within the demagnetization curve defined by the coordinates (BmHm).

PERMEABILITY

µ

the general term used to express various relationships between magnetic induction, B, and the field strength, H.

PERMEABILITY, RECOIL

µre

the average slope of the recoil hysteresis loop. Also known as a minor loop.

PERMEAMETER

 

an instrument that can measure, and often record, the magnetic characteristics of a specimen material.

PERMEANCE

P

the reciprocal of the reluctance, R, measured in maxwells per gilbert.

RELUCTANCE

R

somewhat analogous to electrical resistance. It is the quantity that determines the magnetic flux, ø, resulting from a given magnetomotive force, F. 

          R = F/ø 

where: 

R = reluctance 

F = magnetomotive force 

ø = flux

RELUCTANCE FACTOR

r

accounts for the apparent magnetic circuit reluctance. This factor is required due to the treatment of Hm and Hg as constants.

SATURATION, MAGNETIC

 

exists when an increase in magnetizing force produces no increase in intrinsic induction.

SEARCH COIL

 

a coiled conductor, usually of known area and number of turns, that is used with a fluxmeter to measure the change of flux linkage with the coil.

SLOPE OF THE OPERATING LINE

Bd/Hd

the ratio of the remanent induction, Bd, to a demagnetizing force, Hd. It is also referred to as the permeance coefficient, shear line, load line and unit permeance.

TEMPERATURE COEFFICIENT

 

a factor which describes the reversible change in a magnetic property with a change in temperature. The magnetic property spontaneously returns when the temperature is cycled to its original point. It usually is expressed as the percentage change per unit of temperature.

TEMPERATURE COEFFICIENT, REVERSIBLE

 

changes in flux which occur with temperature change. These are spontaneously regained when the temperature is returned to its original point.

Ag                Area of the air gap

 

Am               Area of the magnet

B                  Magnetic induction

Br                 Remanent induction   

B/H              Slope of the operating line     

 

BdHd           Energy product

 

(BH)max      Energy product, Maximum

 

Bis (or Js)    Induction, saturation intrinsic

 

Bg               Induction in the air gap, magnetic 

 

Bi (or J)       Induction, intrinsic        

 

Br                Induction, residual (or flux density)

 

r                   Reluctance factor

 

f                   Leakage factor

 

F                  Magnetomotive force, (magnetic potential difference)

 

H                 Magnetic field strength

Hc (or Hcb)    Force, coercive

 

Hci (or Hcj)     Force, intrinsic coercive

 

Hd                  Value of H corresponding to the remanent induction, Bd.

 

Hm                 Value of H corresponding to the recoil induction, Bm.

 

ℓg                   Length of the air gap

 

m                  Length of the magnet

 

P (or Pc)         Permeance

 

R                    Reluctance

 

Tc                   Curie temperature

 

Tmax              Maximum service temperature

 

Vg                  Air gap volume

 

 µ                   Permeability

 

 µr                  Permeability, recoil

 

 ø                   Flux, magnetic

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