Introduction to Phasors - AC Circuit Analysis Laboratory | ECE 3074, Lab Reports of Electrical and Electronics Engineering

Download Introduction to Phasors - AC Circuit Analysis Laboratory | ECE 3074 and more Lab Reports Electrical and Electronics Engineering in PDF only on Docsity! Lab-in-a-Box Experiment 20: Introduction to Phasors Name: Patrick Moke Pledge: Patrick Moke ID: 905137762 Date: 9/10/08 Procedure Analysis: 1. Find the angular frequency () of the circuit in Figure 2. 0 1 0 E L E M E N T F R E Q = 1 0 0 0 H z V A M P L = 2 V C u rr e n t S h u n t A Figure 2: Circuit for determining phasor for various loads. 1. 1000Hz 2. Calculate the total impedance (element+shunt) for the circuit above if the element is a: a. 1 kΩ resistorΩ resistor 1. 1010 Ω 2. 1 of 6 500 1000 1010 3. .99% change b. 100 mH inductor 1. 100.5 < 84.3 Ω 2. 3. .5% in magnitude / 6.76% in angle Provide your answer in phasor notation. Show that the 10 Ω shunt has only a small effect on the impedance of the circuit by plotting the impedances in the real-imaginary plane. Calculate the percent change in the magnitude and phase angle of the impedance from that of the element alone (i.e. ∆Z / Z * 100). 3. Repeat the calculations in step 2 for a 10 nF capacitor using a 100 Ω shunt. a. 100000 < -89.94 b. c. 0% in magnitude / .067% in angle 4. Determine the current phasor for the current through each element. Reference the phase of all signals to a function generator phase of 0o at t = 0. For these calculations, you may ignore the shunt. a. 1kΩ resistor Ω- .002 < 0 A b. 100 mH inductor- .02 < -90 A c. 10 nF capacitor- .00002 < 90 A Measurements: 5. Construct the circuit shown in Figure 2 using a 1 kΩ resistorΩ resistor as the element. 2 of 6 J100 10 100 -j100000 h. 17. You will likΩ resistorely notice that the phase angle for the inductor is significantly less than 90o. Repeat the calculations of steps 2(b) and 4 but include the internal resistance of the inductor in series with the coil. Then, compare the experimental observation from step 11 with the new analytical results by repeating step 12. a. Inductor only had 5% error difference, not significant. 18. Replace the 100 mH inductor with a 10 nF capacitor and replace the 10 Ω shunt with a 100 Ω shunt. 19. Repeat steps 8 through 13. Be sure to label the printout or scope image with the capacitor as the DUT. a. 2.8 V b. .014 A c. .000251 s d. 90.36 degree shift e. .000017 < 90.63 A f. Current is lagging g. 15% magnitude / .7% phase 5 of 6 h. 20. Please provide your comments or observations for this experiment. This may include time takΩ resistoren to perform the experiment, any problems encountered, suggestions for improvement, and any additional information. Overall this lab was a good way to takΩ resistore a lookΩ resistor at the magnitudes and phasors of a simple circuit. I encountered a problem with my amplitudes. I could not get the amplitude to 2 V. Therefore I used the smaller voltage and proportioned all the numbers as if everything was based off the 2 V amplitude. Last Revision: Rev 3.3: 9/01/2008 6 of 6