Finding current of an electrical circuit using graph theoretic approach and norton’s theorem

Graph theory is a branch of mathematics where we study about some relations between the objects. So it has many direct applications in real life problems. In Electrical circuit analysis also, different electrical elements are connected in a particular way. So both can be analysed with the help of each other. An electrical circuit can be represented by graph. From graph we can obtain different matrices. These matrices satisfy some matrix equilibrium equations of electrical circuit analysis. From these equations we can find many relatins between currents and voltages of electrical circuits. In our previous paper we analysed currents in a circuit with the help of Thevenin’s theorem and graph theory. In this paper, branch currents of an electrical circuit with unknown resistances and voltage are obtained using network equilibrium equations and then it will be verified by Norton’s theorem.