Problem 7.42 - Maxwell's Equations Extras: Introduction to Electrodynamics

Heald says in their paper that: "In an effort to clarify the role of surface charges on the conductors of elementary electric circuits and the electric fields in the space around them, we present a quantitative analysis of (two‐dimensional) circular current loops. It is also noted that, in general, lines of Poynting flux lie in the equipotential surfaces of quasistatic systems." This paper, Electric fields and charges in elementary circuits (https://doi.org/10.1119/1.13611), does a lot of work diving into the solution, so it is worth a read. If you want the paper, I have a pdf and will gladly share! The separation of variable solutions were found back in chapter three (https://youtu.be/s5aHHs5xLL4). Been a little while since we utilized orthogonality. More mathematical gymnastics, but this exercise used several tools and that was fun to see! ☞ 📚📖📓= Griffiths, David J. “Chapter 7 Electrodynamics.” 𝘐𝘯𝘵𝘳𝘰𝘥𝘶𝘤𝘵𝘪𝘰𝘯 𝘵𝘰 𝘌𝘭𝘦𝘤𝘵𝘳𝘰𝘥𝘺𝘯𝘢𝘮𝘪𝘤𝘴, Pearson, Boston, MA, 2014, pp. 296–355. - - Share knowledge - tag a friend!! Subscribe for more! Don't forget to turn on video notifications! 📺Patreon📺 ➜https://www.patreon.com/curiousaboutscience My goal is to help navigate the world of mathematics and physics through problems and examples. #Curiousaboutscience --------------------------------- 📷Instagram📷 ➜https://www.instagram.com/curiousaboutscience/ --------------------------------- 🤓Facebook🤓 ➜https://www.facebook.com/curiousaboutscience --------------------------------- 📱Twitter📱 ➜https://twitter.com/ScienceNerd_CAS