As an example of the statement that Maxwell's equations completely define electromagnetic phenomena, it will be shown that Coulomb's Law may be derived from Gauss' law for electrostatics. Consider a point charge. We can obtain an expression for the electric field surrounding the charge. We surround the charge with a "virtual" sphere of radius , then use Gauss' law in integral form:
We rewrite this as a volume integral in spherical polar coordinates over the "virtual" sphere mentioned above, which has the point charge at its center. Since the electric field is spherically symmetric (by assumption) the electric field is constant over this volume.
Hence
Or
The usual form can then be recovered from the Lorentz force law, noting the absence of magnetic field.
Limitations of coulombs law
Describe Gauss's law and its application to planar symmetry
No
Newtons law has to due with mass and ATTRACTION only Coulombs law has to due with charge and ATTRACTION AND REPULSION
Gauss law
gauss law is applicable to certain symmetrical shapes it cannot be used for disk and ring
Gauss law is a term used in physics. It refers to the distribution of an electric charge in an electric field.
Gauss's Law states that the electric flux from a closed surface matches the amount of the enclosed charge divided by the permittivity.
coulombs law
Obviously. If the Gauss gun shoots pushes something out at the front, this object will push back against the Gauss gun (Newton's Third Law).
State and derive joul's law of heating effect of an electric current.
from anonymous surfer.... They are equal the only difference is that when the distance of the charge electrons are far so distant from each other, it is much better to apply Gauss's law while Coloumbs law for the other.....