Christopher Crawford 2014-08-27 PHY 416G: Introduction Christopher Crawford 2014-08-27.

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Presentation transcript:

Christopher Crawford 2014-08-27 PHY 416G: Introduction Christopher Crawford 2014-08-27

The Limits of Modern Physics

Unification of 4 Fundamental Forces

Classical Fields action at a distance vs. locality field ”mediates “carries force extends to quantum field theories field is everywhere always E (x, t) differentiable, integrable field lines, equipotentials powerful techniques for solving complex problems

Magnetic scalar potential Electrostatics – Coulomb’s law Magnetostatics – Biot-Savart law Geometrical Gauss -> Ampere’s law U interpretation as boundary currents Statement in terms of boundary conditions Technique for calculating coils B.C.’s: Flux lines bounded by charge Flux lines continuous Flow sheets continuous (equipotentials) Flow sheets bounded by current

Field Lines / Flux

Equipotentials / Flow

L/T separation of E&M fields

Equations of Electrodynamics

Linear &Differential Spaces

Formulations of Electrostatics

Formulations of Magnetostatics

Laplace Eq.: Boundary Value Problems

Spherical Multipoles Dipole Quadrupole

Polarization & Magnetization

Time-dependent Equations

Three Electrical Devices