In a solenoid containing plunger, how can we calculate the force exerted by magnetic filed to move the plunger, if solenoid is placed in external bobbin/case?
Is there any rough calculation for this ?

 

In a solenoid containing plunger, how can we calculate the force exerted by magnetic filed to move the plunger, if solenoid is placed in external bobbin/case?
Is there any rough calculation for this ?

https://www.daycounter.com/Calculators/Magnets/Solenoid-Force-Calculator.phtml#google_vignette
https://www.hydraforce.com/globalassets/forms/solenoid-training-manual.pdf
http://lesliegreen.byethost3.com/articles/solenoids.pdf
https://commons.princeton.edu/motor...-Solenoids_electromagnets_and_electromagn.pdf

 

The claculator formula at the end of the page,

Solenoid Force Calculator & Formula Online Calculator Ultra

 

https://www.daycounter.com/Calculators/Magnets/Solenoid-Force-Calculator.phtml#google_vignette

The formula given in the calculator is
F = (N*I)2 μ0 A / (2 g2),

But it doesn't specify from where the value of 'g' is calculated.
Also, im looking for the force calculation of multilater solenoid.
I'm required to redesign a solenoid bobbin- by reducing it's length and increasing the height/layers of coil winding. So how should I proceed for this?
I came across this formula in a paper, screenshot is attached, which talks about the magnetic field. Would there be any change in force calculation as well?

 

I'm required to redesign a solenoid bobbin- by reducing it's length and increasing the height/layers of coil winding.

Would there be any change in force calculation as well?

To obtain absolutely accurate values of solenoid parameters,
I prefer to spend couple of days for experiment, like HERE, page 69.
Relation force from length and height/layers at the same I*n, shown on page 71, Fig. 48.

 

You can apply a force to an electric solenoid that is equal as a vector measured on a force sensor. The field around the solenoid expands or contracts.
Similar to a spring scale. The spring force increases in magnitude at a given distance and the spring compression involves work.
A spring scale is not very expensive. This gives a ballpark reading in Newtons that helps select the right ultra force sensor.
Since the math numbers are ideal, we make a comparison to a reference that approaches best accuracy. A scale is calibrated with a known weight.
Using a sensitive digital scale, a known weight is replaced by a solenoid said to be equal. We can then assign it as a reference and it is repeatable.
Repeatability is the analog proof and when it is expressed in mathematical format it is a reliable solenoid force calculation.