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Reference I will refer to is Textbook of Electrical Technology by Theraja, page 268 (iv) Magnetising Force on the Axis of a Short Solenoid

The derivation is already there. I just don't understand the visuals that well because they look so complicated. I don't get the use of the variables clearly such as the θ, dx, θ1, θ2, r, and l and even the points M, N and P. Recently I have already studied and understood (iii) Magnetising Force on the Axis of a Circular Coil. But what I don't get is why they have to use that on this part even though this is about a short solenoid. It's not even circular. I am already lost with the whole, use the circular coil thing. I understand the idea of using differentials to represent infinitesimal values but the situation this time feels so complicated.

I mean, the derivation is already there and pretty clear for someone else who probably understands the topic. I just want a more clear explanation, especially on the visuals and how it relates to the Circular Coil geometry.

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  • \$\begingroup\$ Can you add the photos of the relevant figures? Possibly the links to the relevant pages in Google books. \$\endgroup\$
    – AJN
    Commented Aug 30, 2020 at 3:39
  • \$\begingroup\$ I could not find it in Google books but I added the figure. \$\endgroup\$
    – AndroidV11
    Commented Aug 30, 2020 at 3:50
  • \$\begingroup\$ If they start with dx, I think they finally convert it to dtheta so that the integration becomes easier. \$\endgroup\$
    – AJN
    Commented Aug 30, 2020 at 4:11
  • \$\begingroup\$ "It's not even circular" What do you mean ? Is the wire wound on a square or rectangular (or other) prism ? Isn't circular coil and short solenoid nearly the same ? \$\endgroup\$
    – AJN
    Commented Sep 2, 2020 at 3:18
  • \$\begingroup\$ What I mean is it's not explicitly stated. Now if you were to tell me that short solenoid is assuming an original circular coil then that would explain many things but my question is what is the basis for that? Just curious. \$\endgroup\$
    – AndroidV11
    Commented Sep 2, 2020 at 4:30

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