Electromechanical Calculators
Size first-pass coils, solenoids, permanent magnets and magnetic holding fixtures: solenoid force from ampere-turns, air gap, pole area, leakage and saturation; solenoid magnetic field from turns, current and coil geometry; permanent-magnet field from grade, geometry and distance; magnet pull force from grade, gap and target surface; and electromagnet holding force from flux density, pole area, contact factor and safety factor.
Solenoid Force
First-pass solenoid or electromagnet pull force from ampere-turns, air gap, pole area, leakage and saturation.
Solenoid Magnetic Field
Solenoid center field from turns, current, coil length, diameter and relative permeability, with finite-length correction.
Magnetic Field
On-axis magnetic field of an axially magnetized disc or cylinder magnet from grade, size and distance.
Electromagnet Holding Force
Holding force and safe working load from pole flux density, pole area, contact factor and safety factor.
Magnet Pull Force
Permanent-magnet pull-force screen from grade, shape, thickness, air gap, target surface and safety factor.
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These calculators cover the magnetic actuator and holding-force math that sits between machine design and electrical design. The solenoid force calculator starts from coil turns and current, then estimates flux density through a simple magnetic circuit, B = μ0·N·I/(g + l_core/μr). It applies a leakage factor, caps the field at the entered saturation flux density, and converts pole-face magnetic pressure into pull force with F = B²A/(2μ0). That makes the air gap, pole diameter, core path and saturation limit visible instead of hiding them behind a vendor black box.
If you only need coil field strength, the solenoid magnetic field calculator uses the long-solenoid relation B = μ0·μr·N·I/L and adds a finite-length center-field correction from coil radius and length. For permanent magnets, the magnetic field calculator estimates the on-axis B field of a disc or cylinder magnet from grade remanence, diameter, thickness and distance from the pole face. That catches the common “magnetic field of a magnet” workflow without pretending to solve the full 3D field.
For fixtures, locks and magnetic workholding, the electromagnet holding force calculator works from measured or estimated pole flux density, rectangular pole area, contact factor and safety factor to report holding force, safe working load and equivalent held mass. For unpowered permanent magnets, the magnet pull force calculator screens grade, shape, thickness, air gap and target-surface derates so the large effect of paint, coating and clearance is visible before hardware is selected. Real magnetic force depends on plunger geometry, magnetization direction, fringing, B-H curves, heat, air gaps, steel contact and surface condition, so these tools expose the assumptions instead of hiding them.