Problem 78-13    Source:    Problem 51 on the list of Electrical Circuits II - UFRGS School of Engineering - 2017 - Prof. Dr. Valner Brusamarello.

Knowing that K = 0.707, determine the voltage of the Thévenin equivalent at the a-b terminals on the circuit shown in Figure 78-13.1.

Solution of the Problem 78-13   

First, let's determine the value of j ωM from the value of K. Using the eq. 78-09, we find:

With this value, we can redesign the circuit taking into account the current influences. We continue to adopt the procedure used until now for the currents to enter the points, as shown in Figure 78-13.2. Writing the circuit equations, we have:

Soon, we got a system of two equations with two unknowns. Solving the system with Octave, we find:

To calculate the value of V_ab we do the mesh equation as indicated by green arrow in Figure 78-13.2. Thus, we have:

Making the numerical substitution and making the calculation, we find: