Solenoid Coil Electromagnetic Force Calculator

Solenoid Coil

The magnetic field created when an electric current passes through a solenoid, which is a coil of wire twisted in a helical pattern, is referred to as solenoid coil electromagnetic force.
The permeability of the core material, the current passing through the coil, and the number of turns in the coil all affect the magnetic force that results from Ampère’s law.

The transformation of electrical energy into mechanical motion, or vice versa, is the main objective of solenoid coil electromagnetic force.
It functions as a mechanism to regulate the motion of mechanical parts in different electro-mechanical systems, like actuators, switches, and valves.

Understanding Solenoid Coil Electromagnetic Force:

A solenoid coil comprises a lengthy, slender wire wound around a core, usually crafted from a ferromagnetic substance. This assembly generates a consistent magnetic field upon the passage of an electrical current. This electromagnetic phenomenon serves as a cornerstone in various fields, finding utility in applications such as electric motors, generators, and magnetic resonance imaging (MRI) devices.

Utilizing the electromagnetic force produced by solenoid coils, various applications leverage their capabilities for tasks including generating linear motion, providing lifting forces, and facilitating holding functions.

Electric motors: Solenoid coils serve to transform electrical energy into mechanical energy, enabling the generation of straight-line movement.

Generators: Solenoid coils serve to transform mechanical energy into electrical energy, facilitating the production of electricity.

Magnetic resonance imaging (MRI) machines: Solenoid coils serve the purpose of generating robust magnetic fields. These fields play a crucial role in aligning the spins of hydrogen nuclei within the body, facilitating the production of intricate images showcasing internal structures.

Electric relays: Solenoid coils serve the purpose of generating a magnetic field, facilitating the activation and deactivation of electrical circuits.

Latches and switches: Solenoid windings serve the purpose of generating a magnetic force, capable of activating or deactivating electrical circuits through latching or switching mechanisms.


  • Valve Control
  • Actuators and Relays
  • Locking Mechanisms
  • Medical Devices
  • Automotive Applications


In essence, the electromagnetic influence exerted by a solenoid coil represents a fundamental aspect of nature extensively employed across various domains such as electric motors, generators, MRI machines, electric relays, as well as latches and switches.

Its magnitude is ascertainable through the formula F = (n × i)² × μ × A / (2 × g²), where factors like the current intensity passing through the coil, the coil’s number of turns, and the permeability of the core material significantly influence it.

To find the magnetic force between a ferromagnetic substance and a solenoid coil, use this calculator. To get the result, just enter the coil’s length, number of turns, coil area, and current.

Note : Don’t end with comma ( , )

Current (i)
Area (a)
Number of turns (n)
Length (g)


\[F = \frac{(n⋅i)^2⋅magnetic ⋅ constant⋅a}{2⋅g^2}\]


  • F = Force
  • i = Current
  • g = Length of the gap between the solenoid and a piece of metal
  • a = Area n = Number of turns
  • Magnetic constant = 4 x PI x 10-7

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