(b) For the non-planar circuit shown in Figure 1, (a) Carry out a topological analysis (i) Construct

(b) For the non-planar circuit shown in Figure 1, (a) Carry out a topological analysis (i) Construct a graph for the circuit (ii) State two different trees that can be chosen (not the one given below in (b)(i)). Use the loop current method to analyse the circuit:- (i) For this analysis select the tree from node 1 to node 2, node 2 to node 4, node 4 to node 5 and node 5 to node 3 and deduce the links forming the co-tree. (ii) Deduce the fundamental loops in the graph. (iii) Identify the fundamental cut sets associated with the graph. (i) From the topological analysis deduce the independent

(b) For the non-planar circuit shown in Figure 1, (a) Carry out a topological analysis (i) Construct a graph for the circuit (ii) State two different trees that can be chosen (not the one given below in (b)(i)). Use the loop current method to analyse the circuit:- (i) For this analysis select the tree from node 1 to node 2, node 2 to node 4, node 4 to node 5 and node 5 to node 3 and deduce the links forming the co-tree. (ii) Deduce the fundamental loops in the graph. (iii) Identify the fundamental cut sets associated with the graph. (i) From the topological analysis deduce the independent equations required. (ii) Solve the equations and hence find cach branch current R1=30 R5=222 Vx=7.6V R7=32 R6=10 is=3A R2=202 R4=1.592 R3=10 (d) For the circuit shown in Figure 2, (1) Use Nodal Analysis and a methodical application of the circuit laws to directly formulate in matrix form a set of simultaneous equations. (ii) Solve to obtain the voltage at each node and the current supplied by the 10V source. 500 200 160 x 120 200 1 150mA lov Figure 2 (iii) Discuss the advantages and or disadvantages of this method as compared to the loop current method.