Problem
Apply Kirchhoff's laws to the resistive circuit shown in Figure P8.11 to generate two sets of
simultaneous linear equations. Show that the set of equations generated from applying
Kirchhoff's Voltage law to the left and right loops and the set of equations generated from
applying Kirchhoff's Voltage law to the left and outer loops yields the same solution for the value
of the currents $i_1$, $i_2$, and $i_3$.
a. To generate the first set of equations, write three equations corresponding to:
1. current law at a junction,
2. voltage law around the left loop, and
3. voltage law around the right loop.
b. To generate the second set of equations, write three equations corresponding to:
1. current law at a junction,
2. voltage law around the left loop, and
3. voltage law around the outer loop.
c. Use Excel to solve both sets of equations.
Figure P8.11
30V
$i_1$
2?
6?
$i_3$
$i_2$
4?
12V
