I need help with it! it's urgent! 1. I need an introduction and a conclusion for the two exercises, together. 2. And then for the first exercise I need an introduction and date collection and data analysis for each report and then a conclusion for this exercise. 3. The same thing with exercise two, I need an introduction and date collection and data analysis for each report and then a conclusion for this exercise. LAB 7: RC Circuits in Series and in Parallel Exercise 1, Determine the time constant of an RC circuit with two capacitors in series and calculate an equivalent capacitance Using the iOLab device, we will make an RC circuit using one resistor and two capacitors. This is identical to what you did in a previous week. In this lab, you are going to be using the iOLab digital output at D6 to turn the voltage to your circuit on and off. You will still be acquiring data on A7. ACTION we will make a circuit with one resistor and two capacitors in series. ACTION Once your circuit has been constructed as described above, obtain a discharge curve for the circuit. Make a pair of measurements on your discharge curve (V1, t1; V2, t2). we will measuring the voltage on the "Analog 7" sensor. The voltage will be turned on and off using the D6 slot by going to the "settings" / "Expert Mode" and clicking on "Output Configuration." This will make a D6 output and DAC output Off/On toggle appear. This Off/On toggle is how you will apply voltage to the circuit. Pay particular attention to where you pick your two points to calculate . we do not want it to be up on the high-voltage flat part and we do not want it to be way down where it goes to zero. ACTION Once we have made a measurement of our first pair of points (V1, t1; V2, t2), use these to calculate a time constant, series, using the equation you derived in the pre-lab. Record this value of series in an Excel sheet. HOW TO KNOW IF YOUR VALUE MAKES SENSE: Keep in mind that it takes about 3 for the voltage to decrease from its maximum to only 5% of its maximum (to lose 95% of its charge). So for example if you estimate that the curve takes about 3 seconds to go down to zero, your time constant should be about one-second, not 30 seconds and not 0.001 seconds. The value you calculate should make some sense. ACTION Choose a DIFFERENT pair of points (V1, t1; V2, t2) and use these to calculate the time constant, series, again. Record this second value of series, which will probably not be the same as the first, in your spreadsheet. ACTION Choose a THIRD DIFFERENT pair of points (V1, t1; V2, t2) and use these to calculate the time constant, series, again. Record this third value of series, which will not be the same as the first two, in your spreadsheet. Using Excel, calculate the average and the standard deviation of these three measurements of series. REPORT 1.1 Provide a clear photograph of the circuit you have constructed. Provide a clear and scaled screenshot of your discharging RC circuit voltage; make sure this photo shows the cursor measuring at least one of the points V1, t1 that you measured. Clearly report the three pairs of V, t measurements you made. Cleary report your measurements of the time constant series (in seconds) along with its average and uncertainty, which is the standard deviation of your three measurements. REPORT 1.2 Report your measured value of the equivalent capacitance with its uncertainty. Call this series C^series and equivalent. Exercise 2, Determine the time constant of an RC circuit with two capacitors in parallel and calculate an equivalent capacitance ACTION Modify your existing circuit by re-arranging the two capacitors in parallel. ACTION Repeat the experiment of Exercise 1, obtaining a discharge curve and measuring the time constant three times by choosing three pairs of points. Call this new time constant, T parallel REPORT 2.1 Provide a clear photograph of the new circuit you have constructed. Provide a clear and scaled screenshot of your new discharging RC circuit voltage; make sure this photo shows the cursor measuring at least one of the points V1, t1 that you measured. Clearly report the three pairs of V, t measurements you made. Cleary report your measurements of the new time constant parallel (in seconds) along with its uncertainty, which is the standard deviation of your three measurements. REPORT 2.2 Report your measured value of the equivalent capacitance with its uncertainty. Call this C^parallel and equivalent. ACTION From exercise 1 you now know series C^series and equivalent. (you reported this in 1.2) and from exercise 2 you now know parallel C^parallel and equivalent (you reported this in 2.2). Knowing these two and using the equation you derived in pre-lab question number 4, calculate the values of C1 and C2. (Note that you will not actually be able to tell which capacitor is C1 and which is C2, but you will be able to say with certainty that one of them has capacitance C1 and the other must have capacitance C2.) REPORT 2.3 Report your calculated value of the two capacitances C1 and C2. Although you did have measured uncertainties for both of the equivalent capacitances, you do NOT need to report uncertainties on these two calculated values