Electrical Circuits The multiloop circuit shown in Fig. 7 has four junctions J1 J2, J3, an...

Electrical Circuits The multiloop circuit shown in Fig. 7 has four junctions J1 J2, J3, and J4 and six branches carrying currents I1, I2, I3, I4, I5 and I6. Kirchoff’s Current Law says the sum of the currents at each junction must be zero.6

FIGURE 7 Multiloop circuit.

(a) Verify that Kirchoff’s Current Law gives the following system of equations:

(b) Write the augmented matrix for the system of part (a) and transform it to RREF. How many parameters are needed to describe the set of solutions?