Chapter 5, Problem 35P

In the Op-Amp circuit shown in Fig. P5.35. the output voltage V0 is given by $V_0=-\frac{Z_{R2}}{Z_{R1}+Z_C}{V}_{in}$ where $Z_{R1}=R1\Omega$ is the impedance of the resistor $R1$, $Z_{R2}=R2\Omega$ ¡s the impedance of the resistor $R2$, and $Z_C=-j{X}_C\Omega$ is the impedance of the capacitor.

1. If $R1=1.5k\Omega ,R2=1k\Omega ,$ and $X_C=0.5k\Omega$, express $Z_{R1}$, $Z_{R2}$ and $Z_C$
2. as complex number in both rectangular and polar forms.
3. If $V_{in}=1\angle -45°V$, determine $V_0$
4. in both rectangular and polar forms.

Figure P5.35 An Op-Amp circuit for problem P5-35.