Lab 1 – Transfer Characteristics of RC Circuits (Filters)

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Electrical Engineering

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Jan 9, 2024

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Lab 1 – Transfer Characteristics of RC Circuits (Filters) AUD 362P Chris Nixon September 16th, 2023 Professor deAlmeida
Equipment List: - Agilent Technologies InfiniiVision Digital Storage Oscilloscope 70 MHz #2002A - BK Precision Digital Multimeter #2831E - BK Precision 5 MHz DDS Function Generator #4005DDS Objective: The objective of this experiment was to determine the transfer characteristics of an RC circuit over a variety of frequencies and plot the results for analysis. Theory: This lab assignment explained how a filter is a circuit that only permits a predetermined frequency range of the input signal to pass to its output. These circuits attenuate and modify input signals. The circuit's transfer characteristic is the action of the circuit that affects the signal. This transfer characteristic is a decibel ratio of the output voltage to the input voltage. The ratio changes only when the frequency is altered, not when the input is changed. The transfer function is thus frequency dependent. Data: Measured Length 16 ft Calculated Length 14.5 ft Parameter Measurement Calculated Capacitance 719.43 pF Measured Capacitance 501.4 pF Resistance of Wire: 0.233 Ω Inductance (Shorted): 4.03 µH Equations: Eq. 1 : Voltage to Decibels → dB = 20log(V out /V in ) Eq. 2 : Cutoff Frequency → f C = (1/2πRC) Analysis: The students had to first connect the function generator to the circuit shown in Figure 1 of the lab procedure. The oscilloscope's input voltage was then set at 10Vpp. The students then connected an oscilloscope to the output of the circuit. Their objective was to sweep through the frequency range from 100Hz to 100kHz using the increments provided in the chart. The voltages were then measured for each of the four circuits that needed to be constructed. To figure out the output voltage for each frequency, the students had to dial in 11 specific frequencies on the
oscilloscope for each of their circuit designs. It was also crucial that the students checked the cutoff frequency voltage, which should have been approximately 0.707 x Vpp. Furthermore, the students repeated the same measurements and charted the results for each of the four circuits. The students used equation 1 from the lab procedure to determine the dB for each voltage. Aside from the components of the lab procedure itself, some of the students encountered problems using resistors and/or capacitors. This was remedied by obtaining new resistors and/or capacitors. Conclusion: In conclusion, in order to complete this experiment successfully, the students applied the knowledge they gained from the lecture as well as prior years. They must understand how to properly design different kinds of circuits and connect the various wires/leads. The students have to assemble the circuits correctly in order for the values measured to be accurate. Despite the fact that no groups were established for this lab, each student aided one another with various parts of the procedure. This was extremely beneficial because not only did the student who requested help learn more, but they also gained confidence in their abilities to successfully build the circuits in the future.
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