## Chapter 8: Magnetoquasistatic fields: superposition integral and boundary value points of view

author: Markus Zahn, Center for Future Civic Media, Massachusetts Institute of Technology, MIT
recorded by: Massachusetts Institute of Technology, MIT
published: Oct. 10, 2008,   recorded: September 2005,   views: 5236
released under terms of: Creative Commons Attribution Non-Commercial Share Alike (CC-BY-NC-SA)

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# Watch videos:   (click on thumbnail to launch)

Part 1: 8.2.1: Field of a circular cylindrical solenoid 04:28
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Part 2: 8.2.2: Field of square pair of coils 04:11
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Part 3: 8.4.1: Surface used to define the flux linkage 04:16
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Part 4: 8.5.1: Field and inductance of a spherical coil 04:45
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Part 5: 8.6.1: Surface currents induced in ground plane by overhead conductor 05:12
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Part 6: 8.6.2: Inductive attenuator 05:17
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# Description

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