What does the variable "k" mean in the solenoid equation in the picture attached?
Many thanks for the help.
Source: Theory & Practice of Electromagnetic Design of DC Motors & Actuators
George P. Gogue & Joseph J. Stupak, Jr.
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1\$\begingroup\$ Link to the original document? \$\endgroup\$– Andy akaCommented Mar 9, 2018 at 0:40
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\$\begingroup\$ consult-g2.com/course/chapter11/chapter.html \$\endgroup\$– Martin KCommented Mar 9, 2018 at 0:56
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1\$\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\$– jonkCommented Mar 9, 2018 at 2:00
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\$\begingroup\$ See the link, equations 11.41 and 11.50. \$\endgroup\$– WhatRoughBeastCommented Mar 9, 2018 at 3:37
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\$\begingroup\$ so k=Uo/2*Ag*n^2*i^2 ??? Sorry but I am not good at maths :) \$\endgroup\$– Martin KCommented Mar 9, 2018 at 5:07
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1 Answer
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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.
