Electric Circuits and Networks

5.1 LINEARITY OF A CIRCUIT AND SUPERPOSITION THEOREM

Consider a purely resistive circuit driven by two independent current sources and an independent voltage source as shown in Fig. 5.1-1.

The mesh equations for circuit as in Fig. 5.1-1(b) in matrix form can be derived as,

 

 

Solving the matrix equation, we get,

 

 

Now, any element voltage or current can be expressed in terms of these two mesh currents. For example, consider the current in resistor in the central limb in the direction as shown in circuit in Fig. 5.1-1(a). This current is ...