Chapter 5, Problem 39P

In the circuit shown in Fig. 5.37, the impedances $Z_1$, $Z_2$ and $Z_3$ connected in the Yee interconnection can converted into their equivalent impedances $Z_a$, $Z_b$ and $Z_c$ connected in the Delta interconnection as

$Z_a=\frac{Z_1{Z}_2+Z_2{Z}_3+Z_3{Z}_1}{Z_3}$ $Z_b=\frac{Z_1{Z}_2+Z_2{Z}_3+Z_3{Z}_1}{Z_2}$ $Z_c=\frac{Z_1{Z}_2+Z_2{Z}_3+Z_3{Z}_1}{Z_1}$  

1. If $Z_1=2.5-j2.5\Omega$, $Z_2=17.5+j7.5\Omega$ and $Z_3=3.75-j8.75\Omega$
2. express $Z_1$, $Z_2$ and $Z_3$
3. as complex numbers in polar form.
4. Determine $Z_a$, $Z_b$ and $Z_c$
5. in both rectangular and polar forms.