Lecture 2 Lecture Notes

Lecture 2 Lecture Notes - Observation: voltage appears...

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1. Maxwell Equations 1.1 Electrostatics/Magnetostatics Gauss law: Ampere law: Observation: solutions obey continuity equation statics: Lorentz force acting on test charge q: 1.2. Faraday's law of induction: (Griffith 5.3.2) (Griffith 2.2.4) force density charge density current density 1.2.1 Moving Wire-Loop through inhomogeneous magnetic field: Induction - uniformly moving wire loop (conducting) - inhomogeneous magnetic field Lec 02 - 7. Jan Monday, January 07, 2008 9:51 AM Lecture Notes Page 1
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1.2.2. Derivation of induction law from Galileo invariance of continuity equation and force law loop moving through inhomogeneous static fields -> reference frame I reference frame I': dynamic fields Galileo transform constant In each reference frame we expect form invariance of continuity equation: Lorentz force law: force density charge density current density a) Transformation of charge density:
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Unformatted text preview: Observation: voltage appears across ends of wire! ==> E field must be present! ==> Force on (resting) electrons ==> Effective change in B-Field generates E-Field! BUT: no charges to generate E-Field! Reference frame of moving wire: Lecture Notes Page 2 b) Transformation rule for force density (from classical mechanics) c) Transformation rule for current density : ==> read off transformation rule d) Transformation rule for fields: force density form invariance of force density (continuity equation) constant continuity equation Lecture Notes Page 3 differential form for field transformation: Note: (vector identity#8 Griffith) But in reference frame I (static fields in reference frame I) Summary so far: From the transformation rules we now obtain the connection of E' and B': Lecture Notes Page 4...
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This note was uploaded on 07/28/2009 for the course PHYS 441B taught by Professor Norbertlutkenhaus during the Winter '09 term at Waterloo.

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Lecture 2 Lecture Notes - Observation: voltage appears...

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