Question

Z1 and Z2 are first connected in series then in parallel Express the combined impendances in each casein form of x +jy ; if Z1 = 4-j3 and Z2= 5+j2

Answer 1

In case of series connection:

$$Z=Z_1+Z_2=4-j3+5+j2=(9-j)\Omega.$$

For parallel connection:

$$Z=\frac{Z_1Z_2}{Z_1+Z_2}=\frac{(4-j3)(5+j2)}{4-j3+5+j2}=(2.94-j0.451)\Omega.$$