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Christopher Crawford 2014-01-13 PHY 311: Introduction Christopher Crawford 2014-01-13.

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Presentation on theme: "Christopher Crawford 2014-01-13 PHY 311: Introduction Christopher Crawford 2014-01-13."— Presentation transcript:

1 Christopher Crawford 2014-01-13
PHY 311: Introduction Christopher Crawford

2 The Limits of Modern Physics

3 Unification of 4 Fundamental Forces

4 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

5 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

6 Field Lines / Flux

7 Equipotentials / Flow

8 L/T separation of E&M fields

9 Equations of Electrodynamics

10 Linear &Differential Spaces

11 Formulations of Electrostatics

12 Formulations of Magnetostatics

13 Laplace Eq.: Boundary Value Problems

14 Spherical Multipoles Dipole Quadrupole

15 Polarization & Magnetization

16 Time-dependent Equations

17 Three Electrical Devices


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