Exercises — Lesson 5

This lesson covers the concept of electromagnetic field interaction with small electrical circuits. It delves into the approximate model for differential mode noise pickup by component leads, PCB tracks, and connecting wires. The lesson explains the assumptions of the transmission line model and the incident field approximation. It further discusses the action of magnetic and electric fields, the inductive coupling in Faraday's law, and the capacitive coupling using Gauss law. The lesson also elaborates on the development of the model, the application of Kirchhoff's voltage law and current law, and the concept of short line.

Video Highlights

00:12 - Introduction and problem
03:04 - Inductive coupling - Faraday's law and capacitive coupling and Gauss' law
06:14 - Model for field coupling
13:36 - Very short line
16:14 - Model for field coupling - very short line

Key Takeaways

- Electromagnetic field interaction with small electrical circuits can be modeled using the transmission line model and the approximation of the incident field.
- The maximum radiated field from magnetic dipoles and loops occurs in a plane perpendicular to the dipole and in the plane of the loop.
- The inductive coupling in Faraday's law and the capacitive coupling using Gauss's law can be used to model the interaction of magnetic and electric fields.
- Kirchhoff's voltage and current laws can be applied to derive telegrapher's equations, which describe the propagation of electrical signals along a transmission line.