PHY 712 Electrodynamics 9-9:50 AM MWF Olin 103 Plan for Lecture 11:

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Presentation transcript:

PHY 712 Electrodynamics 9-9:50 AM MWF Olin 103 Plan for Lecture 11: Start reading Chapter 5 Magnetostatics Vector potential Example: current loop 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

02/06/2017 PHY 712 Spring 2017 -- Lecture 11

Magnetic flux density or magnetic induction field B Magnetostatics Magnetic flux density or magnetic induction field B Steady state (time constant) current density J y x ri qi vi 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

Comparison of electrostatics and magnetostatics 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

Alternative forms magnetostatic equations 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

Alternative forms magnetostatic equations -- continued 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

Differential forms of magnetostatic equations: Magnetostatic vector potential 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

Non uniqueness of the magnetostatic vector potential 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

Differential form of Ampere’s law in terms of vector potential: 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

Magnetostatics example: current loop z x y r 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

Magnetostatics example: current loop -- continued 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

Magnetostatics example: current loop -- continued 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

m 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

Magnetostatics example: current loop -- continued Ay(x,z) 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

Magnetostatics example: current loop -- continued Evaluation for special cases 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

Evaluation for special case k2  0 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

Evaluation for special case k2  0 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

Magnetostatics example: current loop -- continued 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

Other examples of current density sources: 02/06/2017 PHY 712 Spring 2017 -- Lecture 11

Magnetic vector potential for this case: 02/06/2017 PHY 712 Spring 2017 -- Lecture 11