Lecture 3 Notes

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Washington University in St Louis *

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111A

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Physics

Date

Oct 30, 2023

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pdf

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2

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Lecture 3 Objectives : Understand the relationship between Potential Energy and Force Understand the relationship between Electric Field and Colombia Force suppose we have a system of 2 non zero charges with fixed East q , & qz same sign there is an rmin = > forces acting between them in order to overcome the forces it takes energy and only so much energy 9 , & qz opposite sign there is an rmax = > Forces ( Coulomb ic Forces ) +0 +0 -0 attractive forces force between them is repulsive to pull together or pull apart it takes energy to work against force if there's fixed energy , only so much you can push / pull Coulomb ic Forces ( vector quantities ] É vector ( SI unit N ) force has a magnitude ( how strong / weak ) force has direction minus distance r Relation to PE f- = - ¥ { " " " ed vers went slope C- gradient ) of the tangent line to Vcr ) tell you what the magnitude of the force is at a given distance between particles tell you which direction the force will act Ñ= ¥ Eo 49 ¥ squared in Force g. , qz have same charged repulsive force = > sign of force is positive positive increasing distance 9 , ,qz have opposed charge = > attractive force sign of force is negative negative reduce the distance sketch Fcr ) a a. " " " """"÷:÷ * * " " " " " " " " " " Energy a (5) Force ( N ) > lvcr ) 2 ¥ the distance increases neg or pos Vcr ) isn't diagnostic magnitude of É decreases more rapidly of attractive or repulsive forces divided by r2 would have to look at slope neg or pos force is diagnostic of attraction or repulsion
Force ( what does it do ? act to change the velocity of something = > change speed , direction , or both ) no force acting on an object keep moving the same way changes the motion in the direction of the force force is a vector quantity force has defined direction any acceleration that a force imparts to an object will be in the direction of the force Ñ acceleration ( due to the force ) Ms -2 F- = mam mass ( leg ) When does an object experience a force ? every object exerts a field . when you bring another object into that field a force will act = > interaction between the field with the new object when it enters a field ( region in space where something will exert an influence ) Coulombic forces when a charge enters the electric field associated with another charge or changed object All charges exert an electric field Field lines point FROM positive TO negative Field lines never cross Cover each other ) y straight out point outward / inward from / to point charges ( radially ) single charge isolated in space field lines associated with the charge will point outward or inward , from or to that charge Field lines are drawn perpendicular to a charged surface > I ^ ? + + + + + + " " field " " " " " " the field is & > < v v v v v v field gets stronger as you get closer to a point charge r > a L J v Force experienced by a charge in a field ( electric ) É= q É É electric field Erector for q = positive , force acts in direction of the field know direction of field = > know direction of force q= negative , force acts in direction opposite to the field field points positive negative perpendicular to the surface accelerated in the direction of the force
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