$8$ points Fig. $(1)$ shows a low pass filter made by a resistor and capacitor in series with an AC

power supply of $1$ V $.$ What is the cutoff frequency f$\_($c$)$ for this filter? Make a table of output voltage values

for the following frequencies: $1$Hz$,5$Hz$,10$Hz$,$f$\_($c$),50$Hz$,100$Hz and $500$ Hz $.$ Your table should include

reactance x$\_($C$)$ and impedance Z$.$ Plot the output voltage vs frequency. Use a log scale for frequency. This

is the frequency response of the filter. Fig. $(2)$ shows a high pass filter. What is the cutoff frequency for this filter?

Vout $-$ r $*$ and $6$ w

Figure $2$

Similar to lenses, filters can be combined in which the output of the first stage is the input to the second stage. Fig. $(3)$ shows the low pass filter followed by the high pass filter. Since $\backslash ($ f$\_\{$C$\_\{$L P F$\}\}>$f$\_\{$C$\_\{$A P F$\}\}\backslash )$ there will be a narrow band that passes through both filters. This is a bandpass filter. For each frequency previously listed, use the output voltage of the LPF to find the output voltage of the second stage of the bandpass filter. Plot the frequency response.

Figure $3$