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Chapter 26 Electric Potential
第二十六章 電位
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Lightning
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Just before lightning
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Electric potential energy
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Electric potential energy
where W is the work done by the static electric field. For convenience we often define Where is the work done by the field to move the charge particle from infinity to its current position and
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Electric potential In general we have
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Work done by an applied force
If ΔK = 0, then
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Equipotential surfaces
Surfaces in space on which V is constant.
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Equipotential surfaces
If ΔV is chosen to be the same for all adjacent equipotential surfaces, then the electric filed is inversely proportional to the separations of the equipotential surfaces.
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Calculating the potential from the field
or Vi can be assigned to any convenient value such as 0.
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Potential due to a point charge
If
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Potential due to a point charge
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Potential due to an electric dipole
If the point of interest P is far away from the dipole, then
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Potential due to an electric dipole
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Induced dipole moment
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Potential due to a group of point charges
Example
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Potential due to continuous charge distribution
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Line of charge
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Charged disk
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Calculating the field from the potential
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Electric potential energy of a system of point charges
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Potential of a charged isolated conductor
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Surface charge density of a conductor
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Electric fields near a conductor
The field strength is strongest at the point on a conductor where its local curvature of radius is the smallest.
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Image charge
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Home work Question (問題): 8, 15, 21 Exercise (練習題): 5, 12, 19
Problem (習題): 12, 28, 29, 37
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