Find the linear fractional transformation z = g(Z) that maps |Z| ≤ 1 onto |z| ≤ 1 with Z = i/2 being mapped onto z = 0. Show that Z₁ = 0.6 + 0.8i is mapped onto z = -1 and Z₂ = -0.6 + 0.8i onto z = 1, so that the equipotential lines of Example 2 look in |Z| ≤ 1 as shown in Fig. 407.