3 Magnetism and Gauss Law
Magnetism and Gauss Law
- Statement − The net magnetic flux (ΦB) through any closed surface is always zero.
- This law suggests that the number of magnetic field lines leaving any closed surface is always equal to the number of magnetic field lines entering it.

- Suppose a closed surface S is held in a uniform magnetic field
.
Consider a small vector area element
of this surface.
Magnetic flux through this area element is defined as 
Considering all small area elements of the surface, we obtain net magnetic flux through the surface as:

Compare this with the Gauss law of electrostatics.

The difference between the Gauss law of magnetism and electrostatics is that magnetic monopole doesn’t exist.
