RES.6-001 | Spring 2008 | Undergraduate

Electromagnetic Fields and Energy

Chapter 8

Chapter 8: Magnetoquasistatic fields: superposition integral and boundary value points of view (PDF)

8.0 Introduction

  • Vector field uniquely specified

8.1 The vector potential and the vector Poisson equation

  • Two-dimensional current and vector potential distributions

8.2 The Biot-Savart superposition integral

  • Stick model for computing fields of electromagnet

8.3 The scalar magnetic potential

  • The scalar potential of a current loop

8.4 Magnetoquasistatic fields in the presence of perfect conductors

  • Boundary conditions and evaluation of induced surface current density
  • Voltage at the terminals of a perfectly conducting coil
  • Inductance

8.5 Piece-wise magnetic fields 
8.6 Vector potential and the boundary value point of view

  • Vector potential for two-dimensional fields
  • Vector potential for axisymmetric fields in spherical coordinates
  • Boundary value solution by “Inspection”
  • Method of images
  • Two-dimensional boundary value problems

8.7 Summary

DEMONSTRATION TOPICS VIDEOS - 
SHORT FORM
VIDEOS - 
LONG FORM
8.2.1: Field of a circular cylindrical solenoid Chapter 8.2.1: Field of a Circular Cylindrical Solenoid (demo only) Chapter 8.2.1: Field of a Circular Cylindrical Solenoid
8.2.2: Field of square pair of coils Chapter 8.2.2: Field of Square Pair of Coils (demo only) Chapter 8.2.2: Field of Square Pair of Coils
8.4.1: Surface used to define the flux linkage Chapter 8.4.1: Surface Used to Define the Flux Linkage (demo only) Chapter 8.4.1: Surface Used to Define the Flux Linkage
8.5.1: Field and inductance of a spherical coil Chapter 8.5.1: Field and Inductance of a Spherical Coil (demo only) Chapter 8.5.1: Field and Inductance of a Spherical Coil
8.6.1: Surface currents induced in ground plane by overhead conductor Chapter 8.6.1: Surface Currents Induced in Ground Plane by Overhead Conductor (demo only) Chapter 8.6.1: Surface Currents Induced in Ground Plane by Overhead Conductor
8.6.2: Inductive attenuator Chapter 8.6.2: Inductive Attenuator (demo only) Chapter 8.6.2: Inductive Attenuator

Course Info

As Taught In
Spring 2008
Learning Resource Types
Online Textbook
Lecture Videos
Problem Sets with Solutions