The magnetic field (in tesla/gauss) of an electromagnet that is very small and has very few windings. For example 12 windings over 0.003 meters. I know this is not going to produce a very strong field, but I would like to pulse a strong current through the coil very briefly to make it stronger. I have found a number of sources listing the formula for the calculation of magnetic field strength B = μ ρ I = μ μ 0 N L Iwhere N is the number of turns and L the length of the core, e.g.Question is- can this formula be applied to my electromagnet design?- Does the size and low number of windings on my electromagnet mean this formula is not valid?- Is there any other way I can calculate/estimate the magnetic field?

Question

The magnetic field (in tesla/gauss) of an electromagnet that is very small and has very few windings. For example 12 windings over 0.003 meters. I know this is not going to produce a very strong field, but I would like to pulse a strong current through the coil very briefly to make it stronger. I have found a number of sources listing the formula for the calculation of magnetic field strength  B  =  μ  ρ  I  =      μ              μ        0        N    L    Iwhere   N is the number of turns and   L the length of the core, e.g.Question is- can this formula be applied to my electromagnet design?- Does the size and low number of windings on my electromagnet mean this formula is not valid?- Is there any other way I can calculate/estimate the magnetic field?

Deja Navarro · Accepted Answer

For a normal multipole magnet, the field for a   2  n multipole is given by:      B    y    +  i      B    x    =  n                    μ        0            N      I              r      0                  (                        x          +          i          y                          r          0                    )              n      −      1      where       r    0   means the distance between the pole and the origin of the coordinate system.   N  I means each pole consists of   N turns of wire carrying current   I.So,   n  =  1 is a dipole with gap   2      r    0  ; and   n  =  2 is a quadrupole with field gradient            ∂              B        y                    ∂      x        =            ∂              B        x                    ∂      y        =            2              μ        0            N      I              r      0      2        .

Mark Elliott · Accepted Answer

To find the strength in gauss you must multiply the number of turns of wire in the electromagnet by the amperage.So for a example if you have a electromagnet with 20 turns of wire with 10 amps going through the wire then you multiply 20 by 10 and that will equals 200 so the magnetic feild it&#039;s producing is 200 gauss.

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