Question

Constant current flows through conical conductor. Conductor has 2 end surfaces, one with small surface and the other with greater surface. To which surface does greater current flow?

Answer 1

The question is quite interesting: on the one hand, since the current is constant, it will be the same everywhere in the conical conductor.

On the other hand, current density

$$j=I/A$$

will change. It will be higher in the small surface and lower in the greater surface.