MAGNETIC UNITS CONVERSION



DEFINITIONS, ONLINE CALCULATORS, EQUATIONS IN SI AND CGS

Magnetic Equations
Metric Conversion

Magnetic field

is one of two components of the electromagnetic field. It refers to a region where forces acting on moving electric charges can be detected. Magnetic fields are created by moving electric charges or variable electric field. The charge movement that creates the field may be macroscopic (currents in conductors), or microscopic (associated with spin and orbital motion of electrons, resulting in "magnetic materials").
The SI unit for magnetic flux is the weber (Wb). If the magnetic flux changes by 1 Wb over a time of 1s, then a voltage of 1 V is induced in a conductive loop encircling it: 1 Wb = 1 Vs.
The SI unit for magnetic flux density (induction) B is tesla (T): 1 T = 1 Wb/m2 = 1 Vs/m2.
Magnetic field with density of 1 T generates one newton of force per ampere of current per meter of conductor.
When the magnetic fields generated by currents pass through some materials they produce magnetization in the direction of the applied field. In ferromagnetics it results in increased total field B. Quantity called magnetic field strength (or magnetizing force) H is a measure of the applied magnetic field from external currents, independent of the material's response. Quantity called magnetisation M defines the material's response- it is magnetic moment per unit volume of material. Flux density (magnetic induction) B describes the resulting field in the material. In power electronics it is the main quantity used in calculation of the required cross-sectional area of power transformer cores for given voltage and frequency (see also: engineering reference info on power transformer design).
The table below provides the formulas in both SI and CGS systems and conversion factors for the magnetic units.



MAGNETIC FLUX DENSITY UNIT
CONVERSION CALCULATOR

tesla [T]:
gauss [Gs, G]:
weber/square meter:
weber/square centimeter:
maxwell/square meter:
maxwell/sq. centimeter:
line/square centimeter:
gamma:

Calculators' data are courtesy of www.unitconversion.org

MAGNETIC FIELD STRENGTH UNIT
CONVERSION CALCULATOR

ampere/meter [A/m]:
oersted [Oe]:
QUANTITY SYMBOL SI UNIT SI EQUATION CGS UNIT CGS EQUATION CONVERSION FACTOR
Magnetic
induction
B tesla (T) B=µo(H+M) gauss (G) B = H+4πM 1 T = 104 G
Magnetic field strength H ampere/meter
(A/m)
H = N×I/lc
( lc - magnetic
path, m)
oersted (Oe) H = 0.4πN×I/lc
(lc - magnetic
path, cm)
1 A/m =
4 π×10-3 Oe
Magnetic flux Φ weber (Wb) Φ = B×Ac
(Ac - area, m2 )
maxwell (M) Φ = B×Ac
(Ac - area, cm2 )
1 Wb = 108 M
Magnetization M ampere/meter (A/m) M=m/V
(m- total magnetic moment,
V- volume, m3 )
emu/cm3 M=m/V
(m- total magnetic moment,
V- volume, cm3 )
1 A/m = 10-3
emu / cm3
Magnetic permeability
of vacuum
µo newton/ampere2
µo= 4π×10-7 1 - 4π×10-7
Inductance L henry L=μoμN2Ac/lc
(Ac- area, m2,
lc - magnetic path, m)
henry L=0.4πμN2Ac/lc×10-8
(Ac-area, cm2,
lc - magnetic path, cm)
1
Emf (voltage) V volt V=-N×dΦ/dt
volt V=-10-8N×dΦ/dt
1
Note: in the above equations: N- turns, I - current (in amps)
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