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What does the variable "k" mean in the solenoid equation in the picture attached? Many thanks for the help. enter image description here

Source: Theory & Practice of Electromagnetic Design of DC Motors & Actuators

George P. Gogue & Joseph J. Stupak, Jr.

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    \$\begingroup\$ Link to the original document? \$\endgroup\$
    – Andy aka
    Mar 9, 2018 at 0:40
  • \$\begingroup\$ consult-g2.com/course/chapter11/chapter.html \$\endgroup\$
    – Martin K
    Mar 9, 2018 at 0:56
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    \$\begingroup\$ @MartinK The equations are immediately above the curve. Can't you guess, just by inspection, the implied meaning of \$k\$? Just look up slightly and I think you can see the factors in play there. (Nice page, by the way.) \$\endgroup\$
    – jonk
    Mar 9, 2018 at 2:00
  • \$\begingroup\$ See the link, equations 11.41 and 11.50. \$\endgroup\$ Mar 9, 2018 at 3:37
  • \$\begingroup\$ so k=Uo/2*Ag*n^2*i^2 ??? Sorry but I am not good at maths :) \$\endgroup\$
    – Martin K
    Mar 9, 2018 at 5:07

1 Answer 1

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This might help: -

Force = \$(N\cdot I)^2\cdot 4\pi 10^{-7}\cdot \dfrac{A}{2g^2}\$

  • F = Force
  • I = Current
  • N = Number of turns
  • g = Length of the gap between the solenoid and the magnetizable metal
  • A = Area

If current, area and turns are constant, Force is inversely proportional to the gap squared (\$\ell^2\$). Formulas taken from this question.

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