Chapter 5, Problem 16P

Two circuit elements are connected in series as shown in Fig. P5.16. The impedance of the first circuit element is $Z_1=R_1+j{X}_{L1}$. The impedance of the second circuit element is $Z_2=R_2+j{X}_{L2}$, where $R_1=10\Omega$, $R_2=5\Omega$, $X_{L1}=25\Omega$ and $X_{L2}=15\Omega$.

1. Determine the total impedance, $Z=Z_1+Z_2$.
2. Determine the magnitude and phase of the total impedance; in other words find $Z=\left|Z\right|\angle \theta$.

Figure P5-16 Two circuit elements in series for problem P5-16.