find in other explain to this that the answer is Vc+4i(x). ,,,,, but why it's not VL + Vc + 4i(x) explain the answer please

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Graph theory

It is that part of network analysis where the configuration is called graph or structure of the network system when all of the elements (e.g., R, L, and C) in a network system are substituted with lines having circles/rings or dots across both endpoints. The study of the solution of the networks and circuits with the help of graphs is known as graph theory. The objective is to know the mathematics behind the network analysis.