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Pitt PHYS 0175 - Conducting Surface

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PHYS 0175 1st Edition Lecture 9Outline of Last Lecture II. Total electric flux of boxIII. Main use for Gauss’ LawIV. Linear Superposition of electric fields and applying gauss’ lawOutline of Current Lecture V. Faraday’s ExperimentVI. Cylindrical SymmetryVII. Planar SymmetryVIII.Charge Distribution in a conductorIX. Conductor with cavityX. Electric field outside charged conductorXI. Conducting solid sphereCurrent LectureII. Faraday’s Experimenta. No net initial charge insideb. Charged conducting ball placed insidec. All else is insulating(not lose to earth)d. The ball will induce charges on the walls of the ice pail and lide. If ball touches pail, charge transferredi. Charged will move to outside surface of pailIII. Cylindrical Symmetrya. For a rodb. With a cylinder along same axis-will have same radius-and therefore same E around itc. Can use to remove Electric field and calculate-take outside surface integrald. Charge density is linear-lambdae. Glides at capsIV. Planar Symmetrya. Thin flat infinite sheetb. Uniform charge-sigma-areal densityc. Can also use a cylinder as guassian surfaced. If glides and not penetrate, no fluxe. Glides at sidesV. Charge Distribution in a conductora. Electric field inside is zerob. All excess charges move to surface(solid conductor)VI. Conductor with cavitya. Cut hold in objectb. Place charge at center(hole)c. Will attract opposite charges to neutralize it to center(not touching, justnearby)d. Induce more positive or more negative charges to surfacee. Inside must be zero-only for conductorsf. Cannot be for insulators b/c charges cannot move within itVII. Electric field outside charged conductora. Always perpendicular to surfaceb. E=sigma/permittivity constantVIII.Conducting solid spherea. Shell theorumsb. Must account for new charge enclosed(if uniform) and if hollow, which charges are


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