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##### DeVry ECET 210 Week 6 iLab Q..uestions Solution

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Laboratory Procedures;DeVry University;College of Engineering and Information Sciences;OBJECTIVES;To 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 LIST;Equipment;IBM PC or Compatible;Function Generator;Dual Channel Oscilloscope;Parts;1 - 50? Resistor 1 - 470 nF, 50 V Capacitor;1 - 330? Resistor 4 - 47 ?F, 35 V Capacitor;4 - 4.7 mH Inductor 2 - 100 ?F, 25 V Capacitor;1 - 470 mH, Inductor;Software;MultiSim 11;III. PROCEDURE;Simulation of RC Low Pass Filter;Enter the circuit shown in Figure 1 in MultiSim.;Figure 1 - Low Pass Filter;Set 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 GaindB;100 2000;200 4000;400 8000;800 10000;1000;Table 1 ? Low Pass Filter Frequency Response Simulation Data;Low;Determine 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 Filter;Enter the circuit shown in Figure 2 in MultiSim.;Figure 2 - High Pass Filter;Set the function generator voltage, VIn = 1 VP;Simulate 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 GaindB;100 2000;200 4000;400 8000;800 10000;1000;Table 2 - Low Pass Filter Frequency Response Simulation Data;Determine 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 Filter;Enter the circuit shown in Figure 3 in MultiSim.;Figure 3 - LC Band Pass Filter;Setup 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 GaindB;200 340;250 344;280 348;290 355;300 352;320 356;324 360;330;Table 3 ? Band Pass Filter Frequency Response Simulation Data;Determine 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.asp;The 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 frequency;R0 = Filter Design Impedance;f1 and f2 => 3 dB cutoff frequencies, Lower & Upper..;Also, f1 x f2 = fC2;Bandwidth = f2 ? f1;L_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 NO;D. Breadboard Construction of the three Filters;Build the three filters simulated above on a breadboard, one at a time;Use 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).

Paper#23164 | Written in 18-Jul-2015

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