Christopher Crawford PHY

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Presentation transcript:

Christopher Crawford PHY 311 2014-03-07 §4.2–3 Displacement Christopher Crawford PHY 311 2014-03-07

Outline Review – D=ε0E+P New Gauss’ law – displacement field boundary conditions – obtained as usual Consititutive equation – ε = ε0εr = ε0(1+χe) Electric susceptibility – P vs E, compare: polarizability Dielectric constant – amplification of free charge [relative] permittivity – D vs E Examples parallel plate capacitor polarized sphere – HW 7 dielectric sphere in an external field

New Gauss’ (flux) law: Old (flow) law: New field: D = ε0E + P (electric displacement) Derived from E, P Gauss’ laws Corresponding boundary condition Old (flow) law: E field still responsible for force -> potential energy V is still defined in terms of E Boundary conditions: potential still continuous

Summary

Constitutive relation Connects E and D so we can apply the Helmholtz theorem to the mixed Maxwell equations (if E and D !)

Example: Parallel plates w/dielectric

Example: Polarized dielectric

Example: dielectric sphere in external E