Why is the divergence of electric field zero at all points of the field except where the charge is present?
The divergence of an electric field due to a point charge (according to Coulomb’s law) is zero. In literature the divergence of a field indicates presence/absence of a sink/source for the field. However, clearly a charge is there. So there was no escape route.
Why is the divergence of magnetic field?
The magnetic field inside a solenoid depends on the current and number density and its direction on the current direction. Outside the solenoid, it is small and appears to diverge at the ends and beyond the magnetic field. This divergence is due to the distance from the current-carrying solenoid increases.
Why is the curl of magnetic field zero?
If you have a magnetic field which has curl 0 around some closed loop (not necessarily everywhere), i.e. ∇×→B=0 around some closed loop C, then it means that any surface S for which C is the boundary must have 0 net current passing through it (including displacement currents).
Why Faraday’s law satisfy the fact that the divergence of the curl is zero?
I think you mean “Why is the divergence of the magnetic field zero?” That is because the amount of magnetic field lines going in a certain direction passing through a space is equal to the amount of magnetic field lines going in the opposite direction passing through that space.
Why is the divergence of an electric field 0?
The theorem states that the surface integral of a flux vector is equivalent to the volume integral of the divergence of this flux vector. The volume integral may be a random value for certain flux such as the electric field flux described by Coulomb’s law[3] while the surface integral is a fixed value.
Can divergence and curl be both zero?
Curl and divergence are essentially “opposites” – essentially two “orthogonal” concepts. The entire field should be able to be broken into a curl component and a divergence component and if both are zero, the field must be zero.
Why is divergence velocity zero?
The gas may be moving, but the volume rate of gas flowing into any closed surface must equal the volume rate flowing out, so the net flux is zero. Thus the gas velocity has zero divergence everywhere.