Solenoid Magnetic Field Calculator

Inputs

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Total winding turns.

Current through the winding.

A

Wound length of the solenoid.

mm

Mean winding diameter used for the finite-length correction.

mm

Use 1 for air core. Ferromagnetic cores are nonlinear, so catalog or test data should control final design.

Results

Default result
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Center magnetic field(B_c)
23.34mT
Pass

Also computed

Center field(B_c)0.02334T

Long-solenoid field(B_long)25.13mT

Finite-length correction(k_L)92.85%

Magnetizing field(H)20,000A/m

Ampere-turns(NI)1,000A·turn

Turn density(n)10,000turns/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)0204060012345currentCoil 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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