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Solenoid Force Calculator

Formula

To calculate the Solenoid Force (F):

$F = \frac{(n \cdot I)^2 \cdot c \cdot A}{2 \cdot d^2}$

Where:

F is the force (N)
n is the number of turns
I is the current (amps)
c is a constant (12.566 * 10^-7)
A is the area (m²)
d is the distance between the solenoid and the metal (m)

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.

Example Calculation 1

Given:

Number of Turns ( $n$ ) = 100
Current ( $I$ ) = 5 amps
Area ( $A$ ) = 0.01 m²
Distance ( $d$ ) = 0.02 m

Using the formula:

$F = \frac{(100 \cdot 5)^2 \cdot 12.566 \cdot 10^{-7} \cdot 0.01}{2 \cdot (0.02)^2} = 3.93 N$

The solenoid force is 3.93 N.

Example Calculation 2

Given:

Number of Turns ( $n$ ) = 200
Current ( $I$ ) = 3 amps
Area ( $A$ ) = 0.02 m²
Distance ( $d$ ) = 0.03 m

Using the formula:

$F = \frac{(200 \cdot 3)^2 \cdot 12.566 \cdot 10^{-7} \cdot 0.02}{2 \cdot (0.03)^2} = 5.03 N$

The solenoid force is 5.03N.