Experiment 07 Guide The RC Circuit Adjustments to the experiment Part 2 of this experiment has been reduced to an exercise consisting of watching that part of the video and explaining why the capacitance of the parallel plate changes the way it does. Part 3 has been performed for the student and is found in the last portion of the video. The only remaining task is to perform error propagation and compare final results. Since Parts 2 and 3 have been greatly reduced, Part 1 will now consist of two major sub-parts. Part 1A will duplicate the data analysis described in the lab manual as Part 1. No video has been recorded of the computer data acquisition version of Part 1. The educational value of watching someone operate a piece of software that students will never see in the future is nil. Therefore, students will simply finish the data analysis and draw conclusions from the partially analyzed data in Canvas > Files > Data.xlsx. In Part 1B students will now manually measure the voltage of a discharging capacitor in an RC series circuit. This has been recorded on video and is referred to as an “Old School” method of performing Part 1 in the lab-book. Sequence in which to view image and video files All video clips have been saved in one (very large) MP4 video. It is found in Canvas > Panopto Recordings. Part 1B - New Procedure 1) Record and tabulate the voltage and time. Measure the time for each voltage at regular 3 or 5 second intervals. 2) Type all data into Excel. 3) Calculate the natural logarithm of each voltage. 4) Plot a graph of the natural log of voltage versus time. 5) Fit the resulting scatter plot with a straight line and use linear regression to calculate the slope of the best fit line and its propagated error. 6) Use the theory section in the lab manual or a textbook to determine how to interpret the slope of the graph. 7) Calculate the time constant from the graph and compare with the time constant calculated from the manufacturer’s values for the capacitance and resistance. 8) Perform appropriate error analysis. Page 1 of 1 RC Circuit Experiment Part 1 Name: Date: Capacitance (Farad) 1 Resistance (Ohm) 10 Power Supply Calculated Voltage Time Constant (Volts) (s) 5 Time (s) 0.0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1.0 1.1 1.2 Voltage Across Cap (Volts) 4.882 4.882 4.882 4.847 4.833 4.842 4.838 4.828 4.833 4.042 3.934 3.875 3.817 1.3 1.4 1.5 1.6 1.7 1.8 1.9 2.0 2.1 2.2 2.3 2.4 2.5 2.6 2.7 2.8 2.9 3.0 3.1 3.2 3.3 3.4 3.5 3.6 3.7 3.8 3.9 4.0 4.1 4.2 4.3 4.4 3.773 3.739 3.695 3.656 3.626 3.592 3.558 3.524 3.509 3.470 3.446 3.416 3.387 3.368 3.338 3.319 3.294 3.275 3.245 3.231 3.206 3.182 3.162 3.143 3.118 3.099 3.079 3.055 3.045 3.021 3.006 2.987 4.5 4.6 4.7 4.8 4.9 5.0 5.1 5.2 5.3 5.4 5.5 5.6 5.7 5.8 5.9 6.0 6.1 6.2 6.3 6.4 6.5 6.6 6.7 6.8 6.9 7.0 7.1 7.2 7.3 7.4 7.5 7.6 2.967 2.952 2.938 2.918 2.894 2.884 2.869 2.845 2.840 2.821 2.801 2.786 2.767 2.752 2.742 2.733 2.713 2.698 2.684 2.669 2.654 2.640 2.630 2.615 2.601 2.586 2.576 2.567 2.542 2.542 2.523 2.513 7.7 7.8 7.9 8.0 8.1 8.2 8.3 8.4 8.5 8.6 8.7 8.8 8.9 9.0 9.1 9.2 9.3 9.4 9.5 9.6 9.7 9.8 9.9 10.0 10.1 10.2 10.3 10.4 10.5 10.6 10.7 10.8 2.498 2.488 2.474 2.464 2.449 2.440 2.425 2.420 2.400 2.396 2.381 2.371 2.361 2.347 2.337 2.327 2.317 2.303 2.298 2.288 2.269 2.264 2.254 2.244 2.239 2.230 2.210 2.210 2.200 2.181 2.181 2.171 10.9 11.0 11.1 11.2 11.3 11.4 11.5 11.6 11.7 11.8 11.9 12.0 12.1 12.2 12.3 12.4 12.5 12.6 12.7 12.8 12.9 13.0 13.1 13.2 13.3 13.4 13.5 13.6 13.7 13.8 13.9 14.0 2.151 2.151 2.142 2.132 2.117 2.117 2.103 2.093 2.083 2.078 2.063 2.063 2.044 2.044 2.039 2.020 2.024 2.010 1.995 1.995 1.980 1.971 1.966 1.961 1.951 1.946 1.937 1.927 1.917 1.912 1.907 1.902 14.1 14.2 14.3 14.4 14.5 14.6 14.7 14.8 14.9 15.0 15.1 15.2 15.3 15.4 15.5 15.6 15.7 15.8 15.9 16.0 16.1 16.2 16.3 16.4 16.5 16.6 16.7 16.8 16.9 17.0 17.1 17.2 1.893 1.883 1.873 1.873 1.853 1.849 1.853 1.834 1.829 1.819 1.810 1.810 1.800 1.795 1.790 1.785 1.770 1.775 1.761 1.756 1.746 1.736 1.731 1.726 1.722 1.717 1.707 1.697 1.697 1.687 1.683 1.673 17.3 17.4 17.5 17.6 17.7 17.8 17.9 18.0 18.1 18.2 18.3 18.4 18.5 18.6 18.7 18.8 18.9 19.0 19.1 19.2 19.3 19.4 19.5 19.6 19.7 19.8 19.9 20.0 20.1 20.2 20.3 20.4 1.663 1.658 1.658 1.648 1.639 1.634 1.629 1.619 1.614 1.609 1.604 1.600 1.595 1.585 1.580 1.575 1.570 1.560 1.560 1.556 1.546 1.541 1.536 1.526 1.526 1.521 1.512 1.507 1.502 1.497 1.487 1.482 20.5 20.6 20.7 20.8 20.9 21.0 21.1 21.2 21.3 21.4 21.5 21.6 21.7 21.8 21.9 22.0 22.1 22.2 22.3 22.4 22.5 22.6 22.7 22.8 22.9 23.0 23.1 23.2 23.3 23.4 23.5 23.6 1.482 1.477 1.473 1.458 1.463 1.453 1.448 1.438 1.433 1.429 1.429 1.424 1.409 1.404 1.399 1.399 1.394 1.389 1.380 1.380 1.375 1.370 1.360 1.360 1.346 1.350 1.346 1.336 1.331 1.331 1.326 1.316 23.7 23.8 23.9 24.0 24.1 24.2 24.3 24.4 24.5 24.6 24.7 24.8 24.9 25.0 25.1 25.2 25.3 25.4 25.5 25.6 25.7 25.8 25.9 26.0 26.1 26.2 26.3 26.4 26.5 26.6 26.7 26.8 1.316 1.302 1.306 1.302 1.292 1.292 1.287 1.282 1.277 1.272 1.267 1.263 1.258 1.258 1.248 1.243 1.238 1.238 1.228 1.228 1.223 1.219 1.209 1.214 1.209 1.199 1.199 1.194 1.189 1.184 1.175 1.179 26.9 27.0 27.1 27.2 27.3 27.4 27.5 27.6 27.7 27.8 27.9 28.0 28.1 28.2 28.3 28.4 28.5 28.6 28.7 28.8 28.9 29.0 29.1 29.2 29.3 29.4 29.5 29.6 29.7 29.8 29.9 30.0 1.170 1.165 1.160 1.160 1.155 1.150 1.145 1.145 1.136 1.136 1.131 1.121 1.121 1.116 1.111 1.111 1.101 1.101 1.101 1.092 1.092 1.087 1.082 1.077 1.077 1.072 1.067 1.062 1.057 1.057 1.057 1.043 RC Circuit Experiment Part 3 Name: Date: Resistance (Ohms) 50000 Percent Error in Resistance % 1 Absolute Error in Resistance (Ohms) Capacitance (uF) 0.0033 Percent Error in Capacitance % 10 Absolute Error in Capacitance (uF) Experimental Time Constant from Scope (ms) 0.12 Estimated Error Time Constant from Scope (ms) 0.02 Applied Voltage (Volts) 18.00
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