Solenoid Magnetic Field Calculator
SI
Imp
Imperial
Inputs
View results
Turns
(N)
Total winding turns.
Coil current
(I)
Current through the winding.
A
Coil length
(L)
Wound length of the solenoid.
mm
Coil diameter
(D)
Mean winding diameter used for the finite-length correction.
mm
Relative permeability
(mu_r)
Use 1 for air core. Ferromagnetic cores are nonlinear, so catalog or test data should control final design.
Results
Default result
Edit inputs
Center magnetic field
(B_c)
23.34
mT
Pass
Also computed
Center field
(B_c)
0.02334
T
Long-solenoid field
(B_long)
25.13
mT
Finite-length correction
(k_L)
92.85
%
Magnetizing field
(H)
20,000
A/m
Ampere-turns
(NI)
1,000
A·turn
Turn density
(n)
10,000
turns/m
Center field (mT) vs Coil current (A)
Field is linear with current in this simplified model. Real ferromagnetic cores bend away from this line as they approach saturation.
Center field (mT) vs Coil current (A)
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current
Coil current (A)
Center field (mT)
Field is linear with current in this simplified model. Real ferromagnetic cores bend away from this line as they approach saturation.
Method notes
3 notes
Long-solenoid field uses B = mu0*mu_r*N*I/L.
Center field multiplies the long-solenoid result by L/(2*sqrt(R^2 + (L/2)^2)) to account for finite length.
Ferromagnetic cores are nonlinear. Relative permeability is only a first-pass input and drops near saturation.
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