PHYS 0175 1st Edition Lecture10Outline of Last Lecture II. Faraday’s ExperimentIII. Cylindrical SymmetryIV. Planar SymmetryV. Charge Distribution in a conductorVI. Conductor with cavityVII. Electric field outside charged conductorVIII.Conducting solid sphereOutline of Current Lecture IX. Gauss’ Law vs Coulomb’s LawX. Shell theoremsXI. Insulating stringXII. Work done by electric forceXIII. Conductor with cavityXIV.Electric potential energyXV. Potential energy of two point chargesXVI.Point charges and parallel platesCurrent LectureII. Gauss’ Law vs Coulomb’s Lawa. Are the same if spherical symmetryb. Can prove eachotherIII. Shell theoremsa. Inside shell, if at center, E=0b. Inside is always zero, only move charges to surfacec. Outside shell-enclose entire shell of charge with larger radial distancei. As if concentrated at center like a point(if far away)IV. Insulating stringa. Use lambda(linear charge density)b. Can integrate point chargesV. Work done by electric forcea. W=integral Fdb. Conservative force(W=-U)c. Path dependentd. Electrostatic force is conservativeVI. Electric potential energya. Requires applied energy to increase distance between like chargesb. Must match the electrostatic force that in this case, is repulsivec. External agent=youd. If infinite distance-no effecte. Direction of E is radialVII. Potential energy of two point chargesa. U=kq*q-not/rb. As rinfiniti, U0c. Mutual interactionVIII.Point charges and parallel platesa. Between positive chargei. Positive charge moves in direction of Eii. Field does positive work on chargeiii. Will go to negative plate more easily, PE decreasesiv. If go opposite direction E, field does negative work, PE increases because trying to go to repulsive plate(+)b. Sum of electric fields(+ away – towards) point in same direction between parallel platesi. Therefore, the net is towards the negativeii. The outside of plates have no net field(Cancel
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