// Rxample 4.8 // Matrix Mesh Analysis with Source Conversion // From figure 4.27(c) R_11=4+2+8; // Sum of resistance around mesh 1 R_12=2; // Equivalent Meshes shared by mesh 1 & 2 R_21=R_12; // Symmetry Property of Reistance matrix R_22=6+2+10; // Sum of reistance around mesh 2 R=[R_11,-R_12;-R_21,R_22]; // Resistance Matrix v_s_11=20+8*7; // Net Equivalent Source Voltage that drives current i_1 in Mesh 1 v_s_21=18+6*7; // Net Equivalent Source Voltage that drives current i_2 in Mesh 2 v=[v_s_11;v_s_21]; // Voltage Vector // Using Matrix Mesh Equation, R*i=v i=R\v; // Current Vector i_1=i(1,1); i_2=i(2,1); v_a=8*(7-i_1);// Ohm's Law i_x=3-i_2; //from KCL i_b=7+i_x; // from KCL disp(v_a,"Voltage across 8-Ohm Resistor(in Volts)=") disp(i_b,"Current through 6-Ohm Resistor(in Amps)=")