Lab 4 Result Sheet (1)

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University of Alberta *

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209

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Electrical Engineering

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Feb 20, 2024

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ECE209 – Fundamentals of Electrical Engineering Lab 4: Phasors and AC Power Lab 4 –: Phasors and AC Power ECE209: Fundamental of Electrical Engineering Name Student ID CCID Harshith rao 1760726 hhrao Maksatbek abdiev 1775272 abdiev Phasors and AC Power – (RCL) Resistor -200Ω Capacitor - 1 μF Inductor - 2.5mH Frequency Hz 4.0 k 796 12.7k Period (μs) 250.8 1255 78.7 V 1RMS (V) 4.98 4.95 4.99 V 2RMS (V) 0.252 0.257 0.251 I RMS (V 2RMS /10) (mA) 0.0252 0.0257 0.0251 t V-I (μs) 0 -300 20 I(lead/lag)V (lead/lag) I in phase with V Current leads voltage Current lags voltage θ (°) 0 89.71 89.71 Z (Ω) 198 193 199 S (mVA) 0.125 0.127 0.125 Q (mVAR) 0 0.127 0.125 P (mW) 0.125 0.00643 0.00634 a) Show your work for finding impedance for Capacitor using ohms law. Compare your calculated (above) impedance with prelab calculated impedance for the capacitor. Does values are same or different? Impedance for capacitor using ohms law V= IR V1rms/Irms= 4.98/0.0252= 198 ohms Page 1 of 8

ECE209 – Fundamentals of Electrical Engineering Lab 4: Phasors and AC Power From the prelab the value for impedance was slightly higher it was 200 the experimental value could be lower due to error from experimenter during experiment or zero error on any of the devices Series RLC Circuit– (KVL) f S (kHz) 1.80 3.20 4.60 t S (μs) 556.2 312.5 217.2 V R (V RMS ) 4.01 4.02 3.99 I S = (V R /100) (mA) 0.0401 0.0402 0.0399 V S (V RMS ) 4.97 4.40 4.67 t R-S (μs) 40 0 -10 V S angle - θ (°) 36.21 23.99 31.31 V RL (V RMS ) 4.48 4.82 5.28 t R-RL (μs) -20 -20 -20 V RL angle - δ (°) 26.48 33.49 40.92 V L (V RMS ) V L angle - α (°) V C (V RMS ) V C angle - β (°) Z (Ω) S (mVA) Q (mVAR) P S (mW) b) For the series RLC Circuit use your 1.8 kHz frequency results to demonstrate that Kirchhoff’s Voltage Law holds true for AC Circuits. (V S = V R +V L +V C ) Page 2 of 8

ECE209 – Fundamentals of Electrical Engineering Lab 4: Phasors and AC Power Parallel RC Circuit– (KCL) f S (Hz) 400 800 1.20k t S (μs) 2506 1250 833 V R (V RMS ) 5.01 4.99 4.98 V SC (V RMS ) 0.13 0.259 0.385 I R (V R /200) (mA) I C (V SC /10) (mA) t R-C (μs) -600 -300 -200 I C angle - δ (°) V SS (V RMS ) 0.292 0.373 0.478 I S (V SS /10) (mA) t R-S (μs) -200 -150 -125 I S angle - θ (°) Z (Ω) S (mVA) Q (mVAR) P S (mW) c) For the parallel RC circuit use your 400Hz frequency results to demonstrate that Kirchhoff’s Current Law holds true for AC Circuits. (I S =I R +I C ) Page 3 of 8

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ECE209 – Fundamentals of Electrical Engineering Lab 4: Phasors and AC Power Plots The following pages have been left for you to include the plots that you are required to create as part of your post-lab. To create your plots you can use whichever software you would like (Excel, Matlab, etc.) export your plot as an image and import it into your Lab 4 - Results sheet in the appropriate place. Your plots should include: · A Plot title · Label your axes and show what unit of measure is used. · Include a marking for your data-points. · Include a line between your data-points in the same series. · Include a legend. · Make sure your scales are appropriate and visible. Phasor Diagrams – Resistor, Capacitor, Inductor < Insert your 3 phasor diagrams here > Create a phasor diagram for the voltage and current for each individual component that you measured in section 3.2 (3 total). Don’t worry about the scales of the phasors just make sure to label the voltage, current and angle with their magnitudes. Page 4 of 8

ECE209 – Fundamentals of Electrical Engineering Lab 4: Phasors and AC Power Series RLC Circuit –Phasor Diagram < Insert your 3 phasor diagrams here > Create a phasor diagram for the series RLC circuit. (You need to use your measured and calculated value) Include the following signals: V R (ref), V S , V RL , V L , and V C . Use V R as you reference signal (0°). You need to make 1 phasor diagram for each frequency (3 total). Page 5 of 8

ECE209 – Fundamentals of Electrical Engineering Lab 4: Phasors and AC Power Series RLC Circuit –Power Triangle < Insert your 3 power triangles plots here > Create a power triangle plot for the series RLC circuit. Include the following signals: P S , Q and S. You need to make 1 power triangle plot for each frequency (3 total). Page 6 of 8

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ECE209 – Fundamentals of Electrical Engineering Lab 4: Phasors and AC Power Parallel RC Circuit –Phasor Diagram < Insert your 3 phasor diagrams here > Create a phasor diagram for the Parallel RC circuit. Include the following signals: I R (ref), I C , and I S . You need to make 1 phasor diagram for each frequency (3 total). Page 7 of 8

ECE209 – Fundamentals of Electrical Engineering Lab 4: Phasors and AC Power Parallel RC Circuit –Power Triangle < Insert your 3 power triangles plots here > Create a power triangle plot for the Parallel RC circuit. Include the following signals: P S , Q and S. You need to make 1 power triangle plot for each frequency (3 total). Page 8 of 8