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Experiment 9 Frequency Dependent Circuits I John Nosek ENEE 206 Section 101 Lab Report 9 4/20/04 ● Objective To study the steady-state response of sinusoidally-excited RC and RL circuits as a function of frequency. ● Equipment - Function Generator Digital Oscilloscope Breadboard 2 kΩ Resistor 0.1 μF Capacitor 10 mH Inductor ● Schematics Figure 1 2 kΩ + V ~ 0.1 μF v0 _ Figure 2 2 kΩ + V ~ 10 mH v0 _ ● Procedure For part A, the schematic in Figure 1 was constructed and the input voltage V and the output voltage v0 were measured on the oscilloscope. V consisted of a 5 V sine wave and v0 was measured for the V frequencies of 100, 300, 1k, 3k, 10k, 30k, 100k and 300k Hz. The ratio of the voltages was then computed. The time shift between V and v0 was then measured for the V frequencies of 100, 300, 1k, 3k, and 100k Hz and the phase shift was calculated. For part B, the schematic in Figure 2 was constructed and again the input voltage V and the output voltage v0 were measured on the oscilloscope. V was again a 5 V sine wave and the voltage ratio was measured and calculated for the V frequencies of 1k, 2k, 3k, 10k, 30k, 100k, and 300k Hz. Finally, the time shift between V and v0 was measured for the V frequencies 3k, 10k, 30k, 100k Hz and the phase shift was again calculated. ● Results Part A v0/V Ratio Over Different Frequencies of V 1.2 1 v0/V 0.8 0.6 Experimental Data 0.4 0.2 0 100 1000 10000 Frequency (Hz) 100000 1000000 Phase Angles of v0 for Different Frequencies of V 100 90 Phase Angle (degrees) 80 70 60 Experimental Data 50 Theoretical Data 40 30 20 10 0 100 1000 10000 100000 Frequency (Hz) Part B v0/V ration for Different Frequencies of V 1.2 1 v0/V 0.8 0.6 Experimental Data 0.4 0.2 0 1000 10000 100000 Frequency (Hz) 1000000 Phase Angles of v0 for Different Frequencies of V 0 1000 -10 10000 100000 Phase Angle (degrees) -20 -30 -40 Experimental Data Theoretical Data -50 -60 -70 -80 -90 Frequency (Hz) ● Conclusion This lab was instrumental in showing how different frequencies affect RC and RL circuits. By graphing the results measured, it was clearly shown how the voltage rations and phase angles relate to the frequency of the input voltage. Computing the theoretical results proved difficult so it was not possible to see all the relationships between theoretical and experimental results.