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Pitt PHYS 0175 - Equipotential Surfaces

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PHYS 0175 1st Edition Lecture 12Outline of Last Lecture II. Electric Potential Energy Between two Point ChargesIII. Potential Energy of a charge in a fieldIV. Potential Energy in a uniform fieldV. Charged balloon between parallel wallsVI. Electric Potential Energy of a set of point chargesVII. Electric potential VIII.Change of electric Potential near a point chargeOutline of Current Lecture IX. Electric Potential of point chargeX. Electric Potential UnitsXI. Three equidistant alpha particlesXII. Potential of a line of chargeXIII. Finding potential from electric fieldXIV.Electric potential difference b/w two || platesXV. Equipotential SurfacesXVI.Electric Potential just outside a conductor Current LectureII. Electric Potential of point chargea. Due to positive chargeb. Due to negative chargec. Positive test accelerates from higher to lower Vd. – test q accelerates from lower tohigher vIII. Electric Potential Unitsa. V=U/q0b. Kg*m^2*s^(-3)*A(-1)IV. Three equidistant alpha particlesa. Must either build one by one, halve, or use the algorithm to prevent double countingb. Alpha particle-2 neutrons, 2 protonsc. Can use conservation of mechanical energyV. Potential of a line of chargea. Integrate-infinitesimal dqb. Point P-can use trigc. Substituted. Lambda=dq/dxVI. Finding potential from electric fielda. W= integral F dotdl=integral q0*E dot dlVII. Electric potential difference b/w two || platesa. Constant E, non constant Vb. Lines of equipotentiali. Analogy topographyVIII.Equipotential Surfacesa. Lines on same x plane between platesb. V=J/C=Nm/C=V/m=N/Cc. Electric field lines and equipotential surfaces are always mutually perpendiculard. Because if dot product perpendicular 0 net Worke. E=-V(gradient)i. Partial derivativesii. Based on x,y,zIX. Electric Potential just outside a conductor a. If all charges rest, surface of conductor is equipotentiali. No work done by electric forceii. E outside conductor must be _|_ to surface of conductor at every


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