May 12, Phasors: Passive RL Circuit Response Phasors: Passive RL Circuit Response

Pre-Lab: 
We did a pre-lab analysis to predict the amplitude gain and phase difference with 3 different frequency: Wc, Wc/10, and 10Wc (Wc = 2.2*10^5 Hz). When W= Wc, expected amplitude gain = 0.032 and expected phase difference = -45degree. When frequency = Wc/10 expected amplitude gain = 0.045 and expected phase difference = -5.7 degree. When frequency = 10Wc expected amplitude gain =24.5*10^-3 and expected phase difference = -84 degree

When W= Wc

When W= Wc/10

When W= 10Wc

The circuit as illustrated previously in the schematic

the data for exp value. The amplitude gain is different, becaese we used  I/V to calculate the  amplitude gain in pre-lab, and we use the Vout/Vin in the final calculation. The results make sense through as f increase the V/V gain decrease. 
The percentage difference for the angle shifted is calculated as 5.6%, 6.3%, 9.2% respectively. 

Summary:

In this lab, we analyze the steady-state response from sinusoidal inputs. We can find the amplitude gain by comparing the Vin and Vout. We also learn how to analyze AC circuits using different methods of analysis including nodal analysis, mesh analysis, superposition, Thevenin and norton analysis. 

The results is good since the percentage difference for angle is less than 10%, the source of error may due to the inaccurate measurement of time from the graph, and the uncertainty of frequency that analogy discovery provided.