Determine the resistance and capacitance needed to create an RC filter with a time constant of $10$ seconds. Then, make the RC filter on your breadboard with an input connected to a digital pin and the output is connected to an analog pin. Set the delay in your so that the output will decay from $5$ v $($when digital pin$-$is set HIGH$)$ to less than $0\mathrm{.}5$ v within the serial plotter window. Note that the serial plotter shows $500$ data points. You can use any Arduino examples $($built in or on the web$),$ but your circuit should be built individually. Compare the measured and theoretical decay rate of the RC filter. Turn in your calculations of the resistor and capacitor, your code, a screenshot of the serial plotter showing the exponential decay, and a comparison of the measured vs$.$ theoretical responses.

$(20$pts$.)$