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DeVry ECET 210 Week 6 iLab Q..uestions Solution

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Question;Laboratory ProceduresDeVry UniversityCollege of Engineering and Information SciencesOBJECTIVESTo analyze a RC Low Pass Filter using simulation and circuit measurement.To analyze a RC High Pass Filter using simulation and circuit measurement.To analyze a LC Band Pass Filter using simulation and circuit measurement.II. PARTS LISTEquipment:IBM PC or CompatibleFunction GeneratorDual Channel OscilloscopeParts: 1 - 50? Resistor 1 - 470 nF, 50 V Capacitor1 - 330? Resistor 4 - 47 ?F, 35 V Capacitor4 - 4.7 mH Inductor 2 - 100 ?F, 25 V Capacitor1 - 470 mH, InductorSoftware:MultiSim 11III. PROCEDURESimulation of RC Low Pass Filter |Enter the circuit shown in Figure 1 in MultiSim.Figure 1 - Low Pass FilterSet the function generator voltage, VIn = 1 VP.Simulate the circuit shown for various frequencies indicated in Table 1 below. Record the output voltage, VOut, for each frequency and calculate the gain using the formula: 20 log(VOut P-P / VIn P-P).Frequency, Hz VOut P-P GaindB Frequency, Hz VOut P-P GaindB100 2000 200 4000 400 8000 800 10000 1000 Table 1 ? Low Pass Filter Frequency Response Simulation DataLowDetermine the voltage ?Gain/Loss? in dB for the frequency response plot. Plot the simulation data of on the semi-log graph sheet below. The frequency must be on the X axis and the GaindB on the Y?axis.What is the 3 dB cutoff frequency from the plot?fC =___________________Calculate the 3 dB Cutoff frequency using the formula: fC = 1/(2? R C)fC =___________________Does the simulated measurement agree with the theoretical calculation?Yes ______ No ______B. Simulation of RC High Pass FilterEnter the circuit shown in Figure 2 in MultiSim.Figure 2 - High Pass FilterSet the function generator voltage, VIn = 1 VPSimulate the circuit shown for various frequencies indicated in Table 2 and record the output voltage and gain.Frequency, Hz VOut P-P GaindB Frequency, Hz VOut P-P GaindB100 2000 200 4000 400 8000 800 10000 1000 Table 2 - Low Pass Filter Frequency Response Simulation DataDetermine the voltage ?Gain/Loss? in dB for the frequency response plot. Plot the simulation data of on the semi-log graph sheet below.What is the 3 dB cutoff frequency from the plot?fC =___________________Calculate the 3 dB Cutoff frequency using the formula: fC = 1/(2? R C)fC =___________________Does the simulated measurement agree with the theoretical calculation?Yes ______ No ______C. Simulation of LC Band Pass FilterEnter the circuit shown in Figure 3 in MultiSim.Figure 3 - LC Band Pass FilterSetup the function generator voltage, VIn = 1 VP.Simulate the circuit shown for various frequencies indicated in Table 3 and record the output voltage and gain.Frequency, Hz VOut P-P GaindB Frequency, Hz VOut P-P GaindB200 340 250 344 280 348 290 355 300 352 320 356 324 360 330 Table 3 ? Band Pass Filter Frequency Response Simulation DataDetermine the voltage ?Gain/Loss? in dB for the frequency response plot. Plot the simulation data of on the semi-log graph sheet below.What are the 3 dB cutoff frequencies from the plot?Upper fC =_____________ Low fC =_____________The LC band pass filter is PI- Section filter which has been designed using the website:http://www.raltron.com/cust/tools/band_pass_filters.aspThe filter has been designed to operate at a center frequency, fo of 340 Hz and a 3dB Bandwidth of 10% of fo.Log in to the above website, feed the data of center frequency and the bandwidth desired. Verify if the design values chosen for the lab experiment are close enough.What are the calculated 3 dB cutoff frequencies?Upper fC =_____________ Low fC =_____________Do the simulated measurements agree with the theoretical calculations?Yes ______ No ______Increase or decrease the center frequency by 5 and recalculate the element values. Note and record the new design parameters. What can you comment on the new design values when compared with the original values?The filter can be reconfigured to a T?type using the transformation shown below:Some useful formulas for the Constant K type band pass filter design:fC = Filter Center Design frequencyR0 = Filter Design Impedancef1 and f2 => 3 dB cutoff frequencies, Lower & Upper..Also, f1 x f2 = fC2Bandwidth = f2 ? f1L_1= R_0/(? (f_2- f_1))L_2= (R_0 (f_2- f_1))/(4? f_C^2)C_1= ((f_2- f_1))/(4??R_0 f?_C^2)C_2= 1/(? R_0 (f_2- f_1))Source for the above formulas: ?HANDBOOK OF LINE COMMUNICATIONS?, A Royal Signals Pub., 1947.Using the suggested transformation, change the original PI type filter to T-type and simulate to verify if it works as the original. Include the new filter topology below here.Did the filter work as the original? YES NOD. Breadboard Construction of the three FiltersBuild the three filters simulated above on a breadboard, one at a timeUse a Function Generator to excite the filters and check for the pass band and the cut off frequencies.Submit a photograph of each of your working circuits (online) or have your instructor sign-off each circuit (onsite).

 

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