Explore BrainMass

Linear Algebra : Find Currents Given Kirchhoff's Circuit and Voltage Law Equations (KCL and KVL)

1. An electrical circuit is shown in Figure 1.

Figure 1
The governing KVL and KCL equations are:
v-R2i2-R4i4 = 0; -R2i2+R1i1+R3i3 = 0; -R4i4 -R3i3+R5i5 = 0
i6 = i1+i2; i2 +i3 = i4; i1 = i3+i5; i4+i5 = i6
Find the currents for the case: R1 = 1 k; R2 = 5 k; R3 = 2 k; R4 = 10 k; R5 = 5 k and v = 100 volts. (Now realize that node or loop analysis provide a systematic way of solving circuit problems!!)

Please see the attached file for the fully formatted problem.


Solution Summary

Currents are found given Kirchhoff's Circuit and Voltage Law Equations. The solution is detailed and well presented.