Gauss’s Law in differential form states that
The divergence of magnetic field at any point is zero
Now in case of differential form of Gauss’s law for electric fields divergence of electric field is proportional to electric charge density but here in case of magnetic fields divergence of field at any point is zero because here it is not possible to have isolated magnetic poles as magnetic poles always appear in pair of north and south poles. So there is no such thing as magnetic charge density and this means that divergence of magnetic field is zero.
I discussed about both integral and differential form of Gauss’s Law for electric fields. In this article I’m going to discuss about second Maxwell’s equation which is about magnetic fields. So this article would be about Integral form of Gauss’s Law for magnetic fields.
Integral form of Gauss’s Law for magnetic field is written as
In my previous article I discussed about Integral form of Gauss’s Law which is one of the Maxwell’s Equations. Now in this article I’ll discuss about Differential form of the Gauss’s Law.
The integral form of Gauss’s law for electric fields relates the electric flux over a surface to the charge enclosed by that surface. Like all of Maxwell’s Equations, Gauss’s law may also be written in differential form. So, Differential form of Gauss’s Law is