Question

Determine Thevenin’s equivalent circuit which may be used to represent the given network (Fig.) at the terminals AB.

Answer 1

The given circuit of Fig. would be solved by applying Thevenin’s theorem twice, first to the circuit to the left of point C and D and then to the left of points A and B. Using this technique, the network to the left of CD [Fig.] can be replaced by a source of voltage V₁ and series resistance R_i1 as shown in Fig. .

V₁  = (12 x 6)/(6 + 1 + 1) = 9 volt and R_i1 = (6 x 2)/(6 + 2) = 1.5Ω

Similarly, the circuit of Fig.  reduced to that shown in Fig.

V₂ = (9 x 6)/(6 + 2 + 1.5) = 5.68 volt and R_i2 = (6 x 3.5)/9.5 = 2.21