Is Ampère’s law consistent with the general rule (Eq. 1.46) that divergence-of-curl is always zero? Show that Ampère’s law cannot be valid, in general, outside magnetostatics. Is there any such “defect” in the other three Maxwell equations?

Step 1 of 5</p>

We are required to check the validity of Ampere’s law outside magnetostatics. We are also required to check this context for other Maxwell electromagnetic equations.

Step 2 of 5</p>

The mathematical form of Ampere’s law is given as, …..(1)

Where, magnetic field

current density

permeability of free space

Step 3 of 5</p>

Taking divergence of equation (1),

( since div of curl is zero)

…..(2)