Calculate electromagnetic force, magnetic field strength, inductance, and pull force of solenoids based on coil turns, current, core material, and geometry.
Solenoids are electromagnetic devices that convert electrical energy into linear mechanical force. They're used in door locks, fuel injectors, relay switches, pinball machines, and thousands of industrial applications. The Solenoid Force Calculator helps engineers and hobbyists design solenoids by computing magnetic field strength, pull force, inductance, and power consumption from basic coil parameters.
The force produced by a solenoid depends on the number of wire turns, current flowing through the coil, core material permeability, and the air gap between the plunger and the core. Small changes in these parameters can dramatically affect performance — doubling the current quadruples the force, and adding a ferromagnetic core can increase force by 1,000× or more compared to an air-core solenoid.
This calculator handles both linear pull-type and push-type solenoid configurations. Enter your coil specifications to estimate the axial magnetic field, force at the plunger face, inductance, energy stored, and power dissipation. Use the results to select wire gauge, power supply ratings, and duty cycle limits for your application.
Use this calculator when you want a first-pass estimate of solenoid force, field strength, and heating before you prototype. It is useful for actuator sizing, coil selection, and checking whether the current, turns, and duty cycle make sense together. That makes it easier to spot an undersized coil before you spend time winding or sourcing hardware.
B = μ₀ × μᵣ × N × I / L. Force = (B² × A) / (2 × μ₀). Inductance = μ₀ × μᵣ × N² × A / L. Energy = ½ × L × I². Power = I² × R. Where μ₀ = 4π × 10⁻⁷ T·m/A, N = turns, I = current, L = length, A = cross-sectional area.
Result: 0.025 T field, 0.10 N pull force
A 500-turn coil carrying 2A over 50mm length with an air core (μᵣ=1) produces a modest 0.025 T field. With a 20mm bore and 5mm air gap, the pull force is about 0.10 N, which matches the simple field-to-force estimate used by the calculator.
A solenoid creates a nearly uniform magnetic field along its interior axis when current flows through the coil. The field strength (B) is proportional to the number of turns per unit length (N/L) and the current (I). The permeability of the core material (μᵣ) multiplies this field by factors of hundreds to thousands for ferromagnetic materials.
The force on the plunger arises from the energy stored in the magnetic field. The system seeks to minimize magnetic reluctance by pulling the plunger into the coil, converting electrical energy into mechanical work. This force is proportional to B² and the cross-sectional area of the pole face.
Real solenoid design involves tradeoffs between force, speed, stroke length, power consumption, and heat dissipation. High-force solenoids need large wire, many turns, and substantial cores, making them heavy and power-hungry. Fast-acting solenoids use fewer turns with higher current for quick response but generate more heat.
The force-stroke curve is inherently nonlinear — force is highest when the gap is smallest and drops off quickly as the plunger extends. For applications requiring constant force across the stroke, tapered plunger designs or conical pole pieces help flatten the force curve.
Heat is the primary failure mode for solenoids. Power dissipation equals I²R, and this heat must be conducted or convected away from the coil. Continuous-duty solenoids typically achieve force densities of 0.5-2 N/cm² of pole face area. Intermittent duty allows 3-5× higher peak forces because the coil has time to cool between actuations.
Force scales with B² (magnetic flux density squared), so the core material has the biggest impact. An iron core (μᵣ ~4000) produces millions of times more force than an air core. After that, increasing turns and current both increase B linearly.
As the air gap decreases, the reluctance of the magnetic circuit drops dramatically, increasing flux and force. Force roughly varies as 1/gap² for small gaps. This is why solenoids \"snap\" closed — force increases rapidly as the gap closes.
Solenoids generate heat proportional to I²R. Continuous duty solenoids are rated for 100% on-time, but most are designed for intermittent duty (10-25% on-time). Exceeding the duty cycle will overheat and damage the coil insulation.
Use a higher permeability core material, increase the number of turns, reduce the air gap, or increase the cross-sectional area of the core. You can also use a tapered plunger design for more uniform force across the stroke.
Wire gauge depends on current rating and available winding space. For small solenoids (<1A), 28-32 AWG is common. For high-force solenoids (5-10A), 18-22 AWG handles the current without excessive heating. Calculate I²R losses to verify thermal performance.
Yes, but AC solenoids require a shading coil to prevent buzzing. The force from AC fluctuates at twice the line frequency. DC solenoids are simpler and produce constant force.