Chapter 5, Problem 32P

In the Op-Amp circuit shown in Fig. P5.32. the output voltage $V_0$ is given by

$V_0=-\frac{Z_C}{Z_R}{V}_{in}$ where $Z_R=R\Omega$ is the impedance of the resistor and $Z_C=-j{X}_C\Omega$ ¡s the impedance of the capacitor.

1. If $R=2k\Omega$ and $X_C=1k\Omega$
2. express $Z_R$ and $Z_C$, as complex numbers in both rectangular and polar forms.
3. If $V_{in}=10\angle 0°V$, determine V₀ in both rectangular and polar forms.

Figure P5.32 An Op-Amp circuit for problem P5-32.