Electric Circuits and Networks

2.6 ANALYSIS OF MULTI-LOOP, MULTI-NODE CIRCUITS

The method of analysis of multi-loop, multi-node circuits, using element relations along with KCL and KVL equations, is illustrated through worked examples in this section.

 

 

Fig. 2.6-1 Circuit for Example 2.6-1

EXAMPLE: 2. 6-1

Find the voltage across the dependent current source (v_y) in the circuit in Fig. 2.6-1.

SOLUTION

This circuit has six elements, three nodes and three meshes. We need to find out only v_y. Let us try to solve the circuit in terms of v_x and v_y without using any other new variables.

We note that v_AD = v_CD + v_ac = (10 – v_x) V

v_AB = v_AD – v_BD = (10 – v_x)– v_y V.

v_BC = v_{BD ...}