Chapter 5, Problem 36P

In the Op-Amp circuit shown in Fig. P5.36. the output voltage $V_0$ is given by $V_0=-\frac{Z_{R2}+Z_{C2}}{Z_{R1}+Z_{C1}}{V}_{in}$ where $Z_{R1}=R1\Omega$ is the impedance of the resistor $R1$, $Z_{R2}=R2\Omega$ is the impedance of the resistor $R2$. $Z_{C1}=-j{X}_{C1}$ is the impedance of the capacitor $C1$ and $Z_{C2}=-j{X}_{C2}$ is the impedance of the capacitor $C2$.

1. If $R1=10k\Omega ,R2=5k\Omega ,X_{C1}=2.5k\Omega ,$ and $X_{C2}=5k\Omega$, express $Z_{R1}$, $Z_{R2}$, $Z_{C1}$ and $Z_{C2}$
2. as complex numbers in both rectangular and polar forms.
3. If $V_{in}=1.5\angle 0°V$, determine $V_0$
4. in both rectangular and polar forms.

Figure P5.36 An Op-Amp circuit for problem P5-36.