(Solved): 5. Consider the simple low pass filter below, and answer the following questions. Figure 1: Simple ...

5. Consider the simple low pass filter below, and answer the following questions. Figure 1: Simple low pass filter (courtesy of electronics-tutorials.ws) a. Find the transfer function $\frac{V_{\text{out }}(w)}{V_{\text{in }}(w)}$. (2 marks) b. Given a resistance of $1\mathrm{k}?$ and capacitance of $159\mathrm{nF}$, find the cut of frequency $f_c$. (1 mark) c. What frequencies would this filter attenuate? Show this by plotting the frequency response magnitude (commonly known as a Bode plot) and phase of this filter. (3 marks) d. What is the attenuation (in $dB$ ) of the filter at $w=10\mathrm{kHz}$ ? (1 mark) Note that the impedance of a capacitor is $Z_C=\frac{1}{jwC}$