Sunday, 31 January 2016

electromagnetism - How to determine the force of a solenoid based on inductance


I'm looking to potentially build my own small solenoids, I thought perhaps that I could take an Air core inductor, a spring, piece of plastic, and conductive core and build my own. Is there a way to determine force based on inductance and current (or power).



Answer



Force calculation:


\$F=(N*I)^2\mu_0\dfrac{A}{(2g^2)}\$


Where:


\$\mu_0=4\pi*10^{-7}\$
\$F\$ is the force in Newtons

\$N\$ is the number of turns
\$I\$ is the current in Amps
\$A\$ is the area in length units squared
\$g\$ is the length of the gap between the solenoid and a piece of metal


From this calculator


Inductance calculation:


\$L=\dfrac{d^2*n^2}{18d+40l}\$


Where:


\$L\$ is inductance in micro Henrys
\$d\$ is coil diameter in inches

\$l\$ is coil length in inches
\$n\$ is number of turns.


From this calculator


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