The German Lecture
Decades ago, Tolly Holt flew me to Germany to give lectures at a conference at the university in Bonn. In one of my three lectures, I wrote up Faraday’s Law of induction on the board; v = -d(phi)/dt. I then said that, without any discussion, the text books followed this with the formula (Integral)Eds = -d(phi)/dt. I said that this step was illegal.
Although I was only seconds into the start of my lecture, I was immediately interrupted by professors and lecturers present, who were appalled. A lengthy discussion followed.
I said that if a loop of wire with a single break was put around the perimeter of the surface under investigation, a voltage drop could be measured. However, how would one measure the voltage drop between two points some way away from each other along the loop? It became clear that the layout of the two probe wires leading to the measuring instrument became hopelessly involved in the measurement.
the full chapter, go to Electromagnetic
Theory vol. 1
For the full chapter, go to Electromagnetic Theory vol. 1
Start at p50
The same sort of uncertainty arises if we take Faraday’s Law of Induction, or the Biot-Savart law (or Ampere’s Rule) and try to apply it to a TEM wave travelling at the speed of light. It is necessary to think clearly about the physics involved, and not just hope the maths will sort itself out on its own.
Ivor Catt 18june02
(Tolly = Dr. Anatol Holt)