PHYS 241 Lecture Notes - Lecture 12: Bisection, Point Particle, Potential Energy

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Works depend on initial point, final point and path taken. Conservative forces: gravitational, electrical: work done is independent of the path taken, only depends on the final and initial points. Electrostatic potential: useful to define another quantity, electrostatic potential ( potential , units of v: joules per coulomb=volts, f, e are vector quantities, while u and v are scalar, f=q*e, u=q*v. Potential energy of two charges: multiple charges: Calculate e given v: 1 dimensional, example, 3 dimensional, point charge with radial symmetry. V from charge distributions: point charge, multiple charges, if you have several charges and want to find the potential at a certain point, then you just add the potentials of the individual charges, continuous charge distribution: Example: find the potential, v, along the axis of a ring of charge q, evenly distributed, of radius a": use e=-dv/dz and find e to see if it compares with result above, approximations.

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