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03 - Electromagnetics review and QM

03 - Electromagnetics review and QM - EECS 320...

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Unformatted text preview: EECS 320 Electromagnetics Review Electromagnetics Review And Quantum Mechanics J. Phillips EECS 320 Electromagnetics Review ( ) ρ ε = dx F d ε – permittivity of material F – Electric field ρ – charge density ( ) ( ) ∫ = − 2 1 1 2 x x dx x F F ρ ε ) (electrons qF Force QF Force − = = qdV qFdx dW = − = dx dV F − = Potential Energy Poisson’s Equation J. Phillips EECS 320 qV E P − = . . dx dE q F 1 = ε ρ − = 2 2 dx V d Recall that electrostatic potential, potential energy, etc are relative to an arbitrary point of reference Electromagnetics Review Poisson’s Equation ε ρ − = 2 2 dx V d Given charge density, • Integrate once to get electric field J. Phillips EECS 320 Integrate once to get electric field • Integrate twice to get electric potential (and energy) Electrostatics Examples Parallel Plate Capacitor Sk t h h d it fi ld d l t i t ti l f th f ll i Sketch charge density, field, and electric potential for the following: W/4 W/4- +- + Ai V V J. Phillips EECS 320 W W Air Conductor Electrons In Solids How do electrons behave in solids?...
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03 - Electromagnetics review and QM - EECS 320...

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