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a form of electro-mechanical conservation given by (15) this is arrived at starting from a mechanical conservation (5), then upon consideration of Kirchoff's voltage law we are able to establish a system of differential equations (7) and (13), combined altogether to get the overall electro-mechanical conservation (15)
https://foxtrotpaparomeo.wordpress.com/2023/05/06/06052023electro-mechanical-conservation-laws-in-the-dynamics-of-an-electric-motor/
typos corrected, embedding link changed, previous draft deleted
https://foxtrotpaparomeo.wordpress.com/2023/05/06/06052023electro-mechanical-conservation-laws-in-the-dynamics-of-an-electric-motor/
well, just one important question that needs to be answered. the question, how can a purely mechanical energy such as kinetic energy enter into the conservation equation (15) along with seemingly purely electrical energies (power)? answer, it can through the torque developed due to Lorentz magnetic force, this is by conservation (5)