Chapter 5, Problem 15P

A resistor, capacitor, and an inductor are connected in series as shown in Fig. P5.15. The total impedance of the circuit ¡s $Z=Z_R+Z_L+Z_C$, where $Z_R=R\Omega$, $Z_L=j\omega L\Omega$ and $Z_C=\frac{1}{j\omega C}\Omega$. For a particular design $R=100\Omega$, $L=500mH$, $C=25\mu F$, and $\omega =120\pi rad/s$.

1. Determine the total impedance $Z$
2. in rectangular form.
3. Determine the total impedance $Z$
4. in polar form.
5. Determine the complex conjugate $Z°$ and compute the product $Z$ $Z°$.

Figure P5.15 RLC circuit for problem P5-15.