Following figure showing the scatter plot of provided data temperature vesus time plot 900 800 700 temperature (oF) 600 500 400 300 -@ 1-A AOF > 1-P AF 200 100 0 7:54:37 PM 7:54:55 PM 7:55:12 PM 7:55:29 PM 7:55:47 PM 7:56:04 PM 7:56:21 PM time This figure needs work. 1. There is no figure number or caption. 2. The time axis should be measured in seconds and the origin positioned near the start of the cooling process. 3. The legend doesn't explain what the curves represent. 4. The time axis has no units. 0 0 10 20 30 40 50 60 70 80 time figure 1 response curve for predicted temperature with time. responce temperatureT(t) vesus time(t) plot 1000 temperature (oF) 800 600 400 -- experimental 200 - analytical curve 0 0 10 20 30 40 50 60 time,t(s) 4. figure 2 response curve for the experimental data and analytical data with time. (Figure 1 & 2 should be combined and presented as a single figure with two curves: the experimental and analytical response. "response" is spelled wrong in figure 2. Figure 2 is too small; the vertical scale should be longer such as this: responce temperatureT(t) vesus time(t) plot 900 800 measuring the value of R ment data analysis for 2 > 0 0 10 20 30 40 50 60 time,t(s) So mathematical modelling of the first order circuit can defined as ... ????? (Did you leave something out here? The input output differential equation of the RC circuit can be defined as dVo W Fo dt + -Vo = 1 Vi .... .eqn.1 Here T = RC time constant In LaPlace-Laplace domain write this equation as below I 1 sVo + -Vo = - Vi T IT 1 (Should this equation be numbered ?? ) eqn.2 Vo 1 T Vi Here Vi= Test input and Vo= output response for input. There are following case for test input. Cose 1 Impulse Input Case I filipuise Input Materials and Procedure · Input impulse function as Vi(t)-kô(t) is taken where k= is constant and ô(t) is unit impulse So, the time domain solution of the output is (Should this equation be numbered ?? ) Vo - Ket € -t · It is required to configure function generator to provide a pulse at frequency 10 Hz and duty cycle of · 1% and output need to turn on. · The trigger and channel gains on the oscilloscope was adjusted and input and output were recorded. · Required data was recorded as per given time span. Impulse Input 1.20E+01 1.00E+01 8.00E+00 6.00E+00 4.00E+00 2.00E+00 D. FO Wi Fo In Voltage (V) 0.00E+00 0.00E+00 5.00E-01 1.00E+00 1.50E+00 2.00E+00 2.50E+00 3.00E+00 3.50E+00 4.00E+00 4.50E+00 5.00E+00 Time (ms) Fig.5 (Output impulse response waveform from given data) This figure needs work: 1) Do not use scientific notation for the numerical values, 2) The vertical scale is too long. It should span 0 to 0.3, not 0 to 0.7. This leaves too much wasted space at the top of the figure, 3) The legend doesn't describe anything, 4) The time scale is too long. It could be shorted to 0 to 4 ms. Analysis for time=1-time constant output can fall can to 36 % its initial value (Awkward !! ) so the valid time is less than 0.001 s so required time constant for above case should be 0.0015s from above analysis. So, the required value of gain K= 10 and t = 0.00115 s So, for the predicted analysis output value can obtained from (Should this equation be numbered?) 1 _t Vo = = = = k T Predictive Response 5 4.5 4 0.00E+00 0.00E+00 5.00E-01 1.00E+00 1.50E+00 2.00E+00 2.50E+00 3.00E+00 3.50E+00 4.00E+00 -2.00E+00 Time (ms) Fig.8 (Output step response waveform from given data) I Analysis and Result For time = 1-time constant output response curve reached at 63 % of its final value which is 5. It took approximately 0.00099 s to reach it. So, time constant from above analysis is 0.0011 s (I don't understand this; why isn't the time constant 0.00099 s?) So, the required value of gain K= 10 ?? and z = 0.0011 s So, for the predicted analysis output value can obtained from (Should this equation be numbered ?? ) t =V0 = k (1 - e =) Predictive output curve Chart Area 1.00E+01 8.00E+00 Accessibility: Investigate xt Predictions: On 1 Q Search T W PRE Time (ms) Fig.11 (Output ramp response -waveform from given data) Result and analysis So, the response time constant is again obtained as 0.00079 by measuring the response error after many times for given input. (Need a more complete explanation of how to estimate the time constant here.) The gain K= 5 (The value of k represents the slope for the ramp function. It is not 5 in this case.) adjusted as per input data analysis. So the required value of gain K= 10 ?? and t = 0.0015 s ? ? So, for the predicted analysis output value can obtained from 2 ??? Is something missing here ??? Ramp predictive curve Predictive Response 1 0.9 0.8 0.7 E 0.6 5% Accessibility: Investigate On Predictive Response 1 0.9 0.8 0.7 Amplitude (V) 0.6 0.5 0.4 0.3 0.2 0.1 0 300 350 400 450 500 550 600 Time (ms) Fig.11 (Output ramp response waveform from predictive data analysis) Something is really messed up here. The total range of voltage should be about 10 v. The time scale should span about 5-7 ms. Result & Discussion So, from above experimental data analysis it makes it easy to measure and calculate the value of required time constant for different test input (Impulse, Step and Ramp) to the RC first order circuit. As measured value of R=10000 and C=100*10-9 F. The required measured time constant for the RC first order circuit should be 0.001 s for given value of R & C. So, from above experimental data analysis it was measured the time constant of RC circuit for the different test input impulse, step gation X document Q and ramp input be 0.00115s, 0.0011 s and 0.0015 s respectively. (The estimated time constants should be much closer to 1 ms than what you have reported.) So, it proves that for different test input time constants are approximately similar value and very closed to the measured time constant value 0.001 s. So, in conclusion that- the time constant is the-dependent on system characteristics parameters and does not change by supply- the input to the system, but output response has been affected but time constant remains same. It cam- can also obtained predicted the output response for different test inputs using the time constant and gain values obtained by the experiment, and observed that nature of the The observed transient response of the output-is very similar to the experimental data response curve . So, the predictive curve is similar in nature shows the correct data to the experimental analysis- response of the first order RC circuit. You have most of the requirements in here; you just need to correct some formulations, clean up the structure, and edit for clarity. Format/structure: 2.7/3 - You have some headings in the report but they are not very consistent and tend to confuse the reader instead of guide them through the report. Some sections seem to be devoid of discussion and rely simply of formulas. The equations should be explained in the text. Equations by themselves is bad writing. Figures: 1.5/3 - There should be 4 figures in the report. Any more is just confusing. 1. The thermal system figure has two curves: the measured response and the analytical response. 2. The Impulse test results figure should two curves: the measured response and the analytical response. 3. The step test results figure should have three curves: the input step, the measured response and the analytical response. 4. The ramp test response figure should have three curves: the input ramp, the measured response and the analytical response. Do not use scientific notation for values on the axes. Include units on the axes. Each figure needs a figure number and a short descriptive statement. Each figure should be discussed in the body of the report. Report body: 2/3 - Number your equations correctly. Explain how the time constant is estimated from each of the four tests. Report the value of the estimated time constant from each test along with the other coefficients in equations used to create analytical curve fits. There are several places where the test makes no sense. Edit carefully. Content: 0.9/1 - Most of the requirements for content are there! Total: 7.1/10 words English (United States) Text Predictions: On Accessibility: Investigate Js Pages Results = x duction erials and Method ults erials and Procedure erials and Procedure erials and Procedure D' FO 1ºC Q Search 1 T W You have most of the requirements in here; you just need to correct some formulations, clean up the structure, and edit for clarity. Format/structure: 2.7/3 - You have some headings in the report but they are not very consistent and tend to confuse the reader instead of quide them through the report. Some sections seem to be devoid of discussion and rely simply of formulas. The equations should be explained in the text. Equations by themselves is bad writing. Figures: 1.5/3 - There should be 4 figures in the report. Any more is just confusing. 1. The thermal system figure has two curves: the measured response and the analytical response. 2. The Impulse test results figure should two curves: the measured response and the analytical response. 3. The step test results figure should have three curves: the input step, the measured response and the analytical response. 4. The ramp test response figure should have three curves: the input ramp, the measured response and the analytical response. Do not use scientific notation for values on the axes. Include units on the axes. Each figure needs a figure number and a short descriptive statement. Each figure should be discussed in the body of the report. Report body: 2/3 - Number your equations correctly. Explain how the time constant is estimated from each of the four tests. Report the value of the estimated time constant from each test along with the other coefficients in equations used to create analytical curve fits. There are several places where the test makes no sense. Edit carefully. Content: 0.9/1 - Most of the requirements for content are there! Total: 7.1/10 d States) Text Predictions: On Accessibility: Investigate [D] Fo Q Search 1 T W PRE