Explanation:

Electric flux density (D) is a vector field that describes the distribution of electric charges in space. In a medium other than air, such as a dielectric material, the behavior of electric flux density can be different due to the properties of the material.

Divergent Behavior:

In a dielectric material, the electric flux density can be divergent, meaning that it spreads out from a point source. This is because the dielectric material can have a higher or lower dielectric constant than air, which affects the behavior of electric charges.

Divergence of D is given by the equation:

div D = ρv

where ρv is the volume charge density. If ρv is non-zero, then the electric flux density is divergent.

Other Properties:

Electric flux density in a dielectric material can also have other properties such as being solenoidal, curl-free, or irrotational, depending on the conditions of the material.

- Solenoidal: If the electric flux density is solenoidal, it means that it is a closed loop and has no source or sink. This property is more common in magnetic fields than electric fields.
- Curl-free: If the electric flux density is curl-free, it means that it has no circulation or rotation around a closed loop. This property can be described by the equation curl D = 0.
- Irrotational: If the electric flux density is irrotational, it means that it has no rotation or vorticity. This property can be described by the equation rot D = 0.

Conclusion:

In conclusion, the behavior of electric flux density in a medium other than air can be different due to the properties of the material. In a dielectric material, the electric flux density can be divergent, meaning that it spreads out from a point source. It can also have other properties such as being solenoidal, curl-free, or irrotational, depending on the conditions of the material.