Solenoid Coil Electromagnetic Force

The solenoid coil electromagnetic force refers to the magnetic field created when an electric current passes through a solenoid — a coil of wire twisted in a helical pattern. The resulting magnetic force is governed by Ampère's law and depends on the permeability of the core material, the current passing through the coil, and the number of turns in the coil.

The main objective of solenoid coil electromagnetic force is the transformation of electrical energy into mechanical motion — or vice versa. It regulates the motion of mechanical parts in electro-mechanical systems such as 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, serving as a cornerstone in various fields including electric motors, generators, and MRI devices.

Key Applications of Solenoid Electromagnetic Force

Applications

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

Conclusion

The electromagnetic force exerted by a solenoid coil is a fundamental aspect of nature extensively employed across electric motors, generators, MRI machines, electric relays, and latches and switches. Its magnitude is influenced by the current intensity, the number of turns in the coil, and the permeability of the core material.

About This Calculator

This calculator helps find the magnetic force between a ferromagnetic substance and a solenoid coil. Simply enter the coil's length, number of turns, coil area, and current to get the result.

Formula

$F = \frac{(n \times i)^2 \times \mu_0 \times a}{2 \times g^2}$

where:

• $F$ = Force (N)
• $n$ = Number of Turns
• $i$ = Current (A)
• $a$ = Coil Area (m²)
• $g$ = Length of the Gap Between the Solenoid and the Metal (m)
• $\mu_0$ = Magnetic Constant ($4\pi \times 10^{-7}$ H/m)