Correct Answer - Option 1 : ∇.B = 0
Concept:
Divergence
The divergence of the vector represents the outflow of flux from a small closed surface per unit volume.
The divergence of any vector field \(\vec A\) is defined as:
\(Div= \vec \nabla .\vec A\)
\(\vec \nabla ={\hat a_x\frac{\partial }{{\partial x}} + \hat a_y\frac{\partial }{{\partial y}}}+\hat a_z\frac{\partial }{\partial z}\)
Gauss Theorem
- Gauss law states that the net magnetic flux through any closed surface is zero.
- The number of magnetic field lines entering a surface equals the number of magnetic field lines going out of a closed surface.
- In divergence from it is written as
∇.B = 0
\(Div = \vec \nabla .\vec A\)
So, the correct option is ∇.B = 0
In integral form Gauss Theorem of net magnetic induction is given as
∯ B.dA = 0
