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- David J Griffiths
But how s it valid for some conductor like →
by the way can you put this physically , I don't know this mathvanhees71 said:The electric charge density at every point is given by Gauss's Law (Heaviside-Lorentz units)
⃗∇⋅⃗E=ρ.
Only in the electrostatic case, yes. This does not hold in magnetostatics or electrodynamics.Shreyas Samudra said:So does that mean -
if some charge is given to an arbitrarily shaped conductor, it will surface and regardless of everything; the field inside will be zero and the surface will be equipotential
Yes. The surface is equipotential.Shreyas Samudra said:So does that mean -
if some charge is given to an arbitrarily shaped conductor, it will surface and regardless of everything; the field inside will be zero and the surface will be equipotential
SammyS said:Yes. The surface is equipotential.
That does not mean that the surface charge is uniformly distributed.
I didn't mention current, nor did I imply it.Shreyas Samudra said:Then we should have current over the surface, as its made of conductor, does that happen in steady state ?
It won't be electrostatics then !
SammyS said:I didn't mention current, nor did I imply it.
The surface charge density is not one uniform value over the whole surface. It varies from location to location, but it is static.
Yes.Shreyas Samudra said:that means it is equipotential
The charge on conductors refers to the excess or deficit of electrons on the surface of a conductor, which is determined by the distribution of charges within the material.
The charge on a conductor is distributed evenly on the surface, in such a way that the electric field is perpendicular to the surface at every point. This is known as the principle of equipotential surfaces.
The charge on conductors plays a crucial role in determining the electric field and potential in the surrounding space. It also affects the behavior of the conductor in an external electric field or when in contact with other conductors.
Yes, the charge on a conductor can be changed by adding or removing electrons from its surface. This can be done through various methods such as rubbing, induction, or contact with other charged objects.
The charge on a conductor is directly proportional to its capacitance, as stated by Coulomb's law. In other words, the larger the charge on a conductor, the higher its capacitance will be.