L6.3 Electrostatics: Gauss's law and electric potential

#electrostatics #classicalelectrodynamics #jdjackson
Lecture Notes
electrostatics, Gauss's law, electric potential, classical electrodynamics, JD Jackson
Classical Electrodynamics, Third Edition, by John David Jackson, John Wiley and Sons, (1998).
Lecture notes by Prof. Gary M. Wysin
Lecture board snap
Lecture Transcript

From Wikipedia, the free encyclopedia
In physics, Gauss's law, also known as Gauss's flux theorem, is a law relating the distribution of electric charge to the resulting electric field. The surface under consideration may be a closed one enclosing a volume such as a spherical surface.

The law was first[1] formulated by Joseph-Louis Lagrange in 1773,[2] followed by Carl Friedrich Gauss in 1813,[3] both in the context of the attraction of ellipsoids. It is one of Maxwell's four equations, which form the basis of classical electrodynamics.[note 1] Gauss's law can be used to derive Coulomb's law,[4] and vice versa.
An electric potential (also called the electric field potential, potential drop or the electrostatic potential) is the amount of work needed to move a unit of charge from a reference point to a specific point inside the field without producing an acceleration. Typically, the reference point is the Earth or a point at infinity, although any point can be used.
In classical electrostatics, the electrostatic field is a vector quantity which is expressed as the gradient of the electrostatic potential, which is a scalar quantity denoted by V or occasionally φ,[1] equal to the electric potential energy of any charged particle at any location (measured in joules) divided by the charge of that particle (measured in coulombs). By dividing out the charge on the particle a quotient is obtained that is a property of the electric field itself. In short, electric potential is the electric potential energy per unit charge.

[zahoorulislam]

weldone sir, Sir, if potential between two positive charge has some value other than zero (any constant value) and it has zero value between (at equal distance) positive and negative charges, then how we can say it is not a physical qty (unmeasureable)?

[misbahullahkhan]

Salam sir i have a question, sir as u said that magnatic field has no scaler potential, but sir i think magnetic field has both scalar and vector potential

[junikhan]

Good explanation sir.. Thanks alot..
And keep it up ...

[seekoiftikharsay]

Sir! Why you draw the curved path (Not straight Line) for the charge bringing from infinity?

[qasvideos]

Love you sir.. Qaim Ali Shah from swabi