Enter the current, number of turns, area, and gap length into the calculator to determine the solenoid force.

Solenoid Force Formula

The following formula is used to calculate the force produced by a solenoid.

F= (n*I)^2 * c * A / ( 2 * d^2)

  • Where F is the force (newtons)
  • n is the number of turns
  • I is the current (amps)
  • c is a constant (12.566*10^-7)
  • A is the area (m^2)
  • D is the distance between the solenoid and the metal

Solenoid Force Definition

A solenoid force is defined as the total force produced by any given solenoid. Solenoids are coils or wires that produce a magnetic field when electricity is run through them.

Solenoid Force Example

How to calculate solenoid force?

  1. First, determine the number of turns.

    Calculate or measure the total number of turns of the solenoid.

  2. Next, determine the current.

    Measure the current running through the solenoid.

  3. Next, determine the area.

    Measure the area of the metal the magnetic field is acting on.

  4. Next, determine the distance between the solenoid and metal.

    Measure the distance to the metal plate from the center of the solenoid.

  5. Finally, calculate the solenoid force.

    Calculate the solenoid force using the equation above.


What is a solenoid?

A solenoid is a device made up of a coil of wires, a housing, and an armature. When electric current flows through the wire, a magnetic field is produced.

How does a solenoid produce force?

A solenoid produces force through the magnetic field it generates while under an electric current.