How are the laws concerning the flow of the current in the forks of the electric circuit called?

Kirchhoff's current law is also called Kirchhoff's first law, Kirchhoff's point rule, or Kirchhoff's junction rule (or nodal rule). The principle of conservation of electric charge implies that: At any node (junction) in an electrical circuit, the sum of currents flowing into that node is equal to the sum of currents flowing out of that node or equivalently The algebraic sum of currents in a network of conductors meeting at a point is zero.