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curl H = J

H being magnetic field intensity and magnetic flux density B = u H (u being permeability of free space)

divergence of B is zero because isolated magnetic charge or pole doesn't exist.

but then they define magnetic scalar and vector potentials .i can imagine H and B like in terms of field lines but this scalar and vector potentials making me very uncomfortable.

They say H= - del Vm

(negative divergence of scalar potential) and this is valid only when current density J=0. What i undertood is, first of all static magnetic field is produced by constant current if current density is zero which is del I / del S then current is zero then how can magnetic field exist at first place.

And then they define magnetic vector potential (A) exist just because del . B =0(div of B =0) so B can be expressed as curl of some function since divergence of curl of a vector is zero . I understand this in terms of vector identities but m not able to imagine this magnetic vector potential.

Some body please explain this. Any link to a simulation or java applet will be very helpfull . . .

Thank u.