HW $10$

Design a low$-$pass RC $($no inductors$)$ filter with a cut$-$off frequency of $\backslash (\backslash$mathrm$\{$f$\}\_\{\backslash$mathrm$\{$c$\}\}=2500\backslash$mathrm$\{$~Hz$\}\backslash ).$ Remember $\backslash (\backslash$omega$=2\backslash$pi f $\backslash )$

Use the tables provide for standard Resistor and Capacitor values $($Next Page$)$ I recommend you choose an appropriate Capacitor then add resistors in parallel and$/$or in series to get the needed equivalent resistance in the appropriate part of the circuit. You should try to get your cutoff frequency within $\backslash (1\backslash \%\backslash )$ of the specified value.

Please include your circuit drawing and how you determined the sizes of the components.

Part $2$

For your circuit, derive the Frequency Response Gain $\backslash ($ G$\_\{$v$\}($f$)\backslash )$ in terms of frequency Provide your derivation of the frequency response function. Then use Matlab to generate the Bode Plots. Please provide the appropriate Bode plots that cover a frequency range of $10$ Hz to $100$ kHz $.$

Please upload this document as a pdf$.$ Include your Matlab $.$m file.

Standard Resistors

Standard Capacitors