Problem 12-7    Source:    Adapted from Exercise 4.3 - page 150 -    THOMAS, Roland E. & ROSA, Albert J. & TOUSSAINT, Gregory J. -    Book: The Analysis and Design of Linear Circuits - 6ª edição - Ed. John Wiley & Sons, Inc. - 2009.

In the circuit show in Figure 12-07.1, calculate V_o and I_o.

Solution of the Problem 12-7   -    Nodal Voltage Method

Let's work with the electric currents in mA and the resistors in kΩ obtaining the tensions in volts. Starting from the node e₁ we can write the equation:

Now let's write the equation for the node e₂, or:

By working algebraically on these two equations, we can write the system of two equations to two unknowns, as below.

By the last equation, we can see that V_o = V_x and solving the system we find: