Magnetic Field formulas - · PDF fileMagnetic field formulae Magnetic field due to an...
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Magnetic field formulae www.vaxasoftware.com Magnetic field due to an infinite, straight current filament d i B π 2 μ 0 On-axis field due to N current loops and radius r N r i B 2 μ 0 Axial field of a finite, straight, thin shell solenoid of length L and N loops. N L i B μ 0 Force for a moving charge inside a magnetic field B v q F Force for a straight current filament inside a magnetic field B L i F · Magnetic force between two straight current filaments L i i d F π 2 μ 2 1 0 Torque for a coil with N loops sin N B S i M Flux through a loop cos S B Orbit of a moving charge inside a magnetic field. Velocity is perpendicular to magnetic field. r v m B v q F F CEN MAG 2 B q v m r , v r T π 2 , T f 1 Symbol Magnitude S.I. unit B Magnetic field (Tesla) T = N·A 1 ·m 1 q Charge (Coulomb) C = A·s i Current intensity (Ampere) A = C·s 1 0 Permeability of vacuum = 4··10 7 T·m·A 1 N Number of loops in the coil r Loop radius m d Distance m F Force N v Velocity m·s 1 L Length m S Section m 2 M Torque N·m Angle between magnetic field vector and velocity vector rad or degrees m Mass kg T Period s f Frequency Hz or s 1 Magnetic flux (Weber) Wb = T·m 2 www.vaxasoftware.com
Transcript of Magnetic Field formulas - · PDF fileMagnetic field formulae Magnetic field due to an...
Magnetic field formulae www.vaxasoftware.com
Magnetic field due to an infinite, straight current filamentd
iB
π2
μ0
On-axis field due to N current loops and radius r Nr
iB
2
μ0
Axial field of a finite, straight, thin shell solenoid of length L and N loops.
NL
iB
μ0
Force for a moving charge inside a magnetic field BvqF
Force for a straight current filament inside a magnetic field BLiF
·
Magnetic force between two straight current filaments Liid
F π2
μ21
0
Torque for a coil with N loops sin NBSiM
Flux through a loop cos SB
Orbit of a moving charge inside a magnetic field. Velocity is perpendicular to magnetic field. r
vmBvqFF CENMAG
2
Bq
vmr
,
v
rT
π2 ,
Tf
1
Symbol Magnitude S.I. unit
B Magnetic field (Tesla) T = N·A1·m1
q Charge (Coulomb) C = A·si Current intensity (Ampere) A = C·s1
0 Permeability of vacuum = 4··107 T·m·A1
N Number of loops in the coilr Loop radius md Distance mF Force Nv Velocity m·s1
L Length mS Section m2
M Torque N·m Angle between magnetic field vector and velocity vector rad or degreesm Mass kgT Period sf Frequency Hz or s1
Magnetic flux (Weber) Wb = T·m2
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