Table of Contents
- 1 Why is the divergence of an electric field zero?
- 2 What is the divergence of electric field due to a point charge?
- 3 What does the zero value for the divergence of a vector field imply?
- 4 Why is the curl of magnetic field is zero?
- 5 What is the divergence of electric field at a particular point?
- 6 What is the meaning of positive divergence?
Why is the divergence of an electric field zero?
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.
In which of the following cases the divergence of electric field is zero?
2. Thus divergence of electric flux density results in volume charge density. 3. In the given diagram, the divergence of the electric field is zero when the number of electric fields emerging from the tube is equal to incoming field lines.
What is the divergence of electric field due to a point charge?
The divergence of the electric field at a particular point in space is proportional to the charge density there. A point charge is an arrangement of charge such that the charge density is zero everywhere except at that point, where it is infinite.
Why is the divergence of a magnetic field zero?
Divergence means the field is either converging to a point/source or diverging from it. Divergence of magnetic field is zero everywhere because if it is not it would mean that a monopole is there since field can converge to or diverge from monopole. But magnetic monopole doesn’t exist in space.
What does the zero value for the divergence of a vector field imply?
It means that if you take a very small volumetric space (assume a sphere for example) around a point where the divergence is zero, then the flux of the vector field into or out of that volume is zero. In other words, none of the arrows of the vector field will be piercing the sphere.
What is the divergence of the electric field and that of electric flux density in a charge free region?
Explanation: From the Gauss law for electric field, the volume charge density is the divergence of the electric flux density of the field. Thus Div(D) = ρv. Explanation: In free space or air, the charge density will be zero. In other words, the conduction is possible in mere air medium.
Why is the curl of magnetic field is 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).
What happens when the divergence is 0?
What is the divergence of electric field at a particular point?
The divergence of the electric field at a particular point in space is proportional to the charge density there. A point charge is an arrangement of charge such that the charge density is zero everywhere except at that point, where it is infinite.
Do we really need a zero divergence of a magnetic field?
However, the zero divergence of this field implies that no magnetic charge exists and since we don’t have any real magnetic monopole at hand, there is no question of finding the field at the source point. Isn’t this a double standard? Do we really need to find a non-zero divergence of a field for its source to exist?
What is the meaning of positive divergence?
For example, a positive divergence means that there is a positive charge at this point, acting as a source for the electric Field. The higher the charge, the higher the divergence. 25 insanely cool gadgets selling out quickly in 2021.
Why does ∇ ⋅ b → = 0 imply zero divergence?
So it’s not as if ∇ ⋅ B → = 0 implies that the B-field has no “source”, in the general meaning of the word. If B → represented the velocity field of a liquid filling up space, then zero divergence implies no water being injected/removed anywhere. But B → does not represent the velocity field of a liquid filling up space.