In electric current both negative particles and positive particles flow but in opposite directions. So why doesn't the conductor's shape deform because its particles are moving here and there? OR is it like this that electric current is the movement of electrons and protons in which electrons move atom to atom. But if the atom to atom thing is true then how will protons move as they are part of the nucleus of atoms itself? Thnx!
No, they don't. Only some of negative particles (electrons) on the top shell could do that. Atomic nuclei together with inner electronic shells do not move (almost). In metals they form kind of crystalline cubic grid.