Magnetic field of wires, coils and inductors - physics behind induction heating

You have probably seen such videos where metal is heated to red hot in a second or a blob of molten metal is levitated with an inductor. But how does it exactly work? In this video we will start with a magnetic field of a straight wire and then build up our knowledge to understand complex inductors and magnetic fields around them. This is the first video of series and in the next video I will talk about induction heating as why thing heat up in alternating magnetic field, skin-effect as what happens to changing magnetic field in conductive media and levitation melting. All plots and animations are made with Mathematica 12, sketches with Inkscape and numerical calculations with Comsol Multiphysics. References: 1) Induction heating video from EFD Induction    • What is induction heating. How does it wor...   2) Induction melting from Ultraflex Power Technologies    • Melting with Induction Levitation 1   3) Molten aluminium leviated    • melt metal with magnets   4) Induction stove https://cooktophunter.com/voltage-req... 5) Wireless charger https://hardciderlabs.com/products/sl... 6) EOF Library – Multiphysics simulation software https://eof-library.org/ Video of simulation:    • Electromagnetic levitation melting of alum...   7) Mathematica code used to make all of the graphs in the video: https://drive.google.com/file/d/16dQj... Special thanks to Antra Gaile for making the sketches.