Changes in electric fields induce magnetic fields. Changes in magnetic fields induce electric fields. If you combine the equations describing these effects, you get a wave equation. The wave described is light.
ETA: The section in the linked wikipedia article with the heading “In vacuum” has the equations in convenient form, and some links that look promising for describing this in more detail.
Changes in electric fields induce magnetic fields. Changes in magnetic fields induce electric fields. If you combine the equations describing these effects, you get a wave equation. The wave described is light.
ETA: The section in the linked wikipedia article with the heading “In vacuum” has the equations in convenient form, and some links that look promising for describing this in more detail.