4 A 4 A 3Ω 3Ω 6Ω + $22 40 V: 322 48 V 48 V

Consider the circuit in Figure 4 to the left. We are interested in finding V_x using different analysis techniques.

(a) Starting with Mesh analysis as shown in the figure to the right, find the mesh currents i₁, i₂, and i₃ then determine V_x. Note that V_x = 4i₂

1) -8.4 A, 1.2 A, -4 A, 4.8 V

2) -2 A, 1 A, -4 A, 4 V

3) -8.4 A, 0.1 A, -4 A, 0.4 V

4) -8.4 A, 0.6 A, -4 A, 2.4 V

(b) . Another method is use superposition and adding the results algebraically. In this case, the value of  V_x due to the current source acting alone, and due to the voltage source acting alone is respectively equal to

1) -9.6 V, 12 V

2) -6 V, 24 V

3) 10.2 V, 12V

4) 2.4 V, 6 V