a) Develop mesh-current equations, simplify as much as possible, and express in matrix form. b) Solve the M-C equations to find the mesh currents. c) From the mesh currents, find Io, Vo, and power absorbed by RL. Vin 100V + WWW 4ΚΩ 2ΚΩ + www- + WWW 1kQ 1kQ + www- + 2ΚΩ RL WWW Io + 1 Vo

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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.