Lab 6 PHY 242

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University of Kentucky *

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242

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Electrical Engineering

Date

Apr 3, 2024

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pdf

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Uploaded by CountFirePorpoise39

Lab 6: Function Generator and the RC Circuit Researcher: Audra Proffitt DA: Jake McKean PI: Emma Stein Introduction: The aim of the investigation was to establish the time taken for the capacitor to charge and discharge by 63%, as well as the total time required for these processes. The report will employ various technical terms and tools, such as voltage, Oscope, RC circuit, coaxial cable, function generator, decade resistor box, decade capacitance box and light bulb. Procedure: Researcher For this procedure, we used new equipment to measure voltages across a circuit at different resistances and capacitance values. We specifically looked at the time it took to charge and discharge the capacitor using symbol τ for the charge time and τ (discharge) for the discharge time. We first experimented with the function generator to familiarize ourselves with the machine and the different functions on it, using a lightbulb as a visual element to observe the changes being made to the voltage. We experimented with the amplitude, offset, and frequency. The amplitude dial changed the height of the waves and their voltage values. The offset changes the voltage of the center of the signal’s amplitude and the ground, changing the values of V max and V min to make them greater or smaller in value. The frequency dial changed the value in Hertz of the frequency itself, making the waves measure faster if the frequency was higher, and slower if the frequency was lower.

R1 For our circuit, we used a decade resistance box and a decade capacitance box to change the resistance and capacitance throughout the trials. Our circuit diagram was constructed as follows: R2 Graphs and Analysis: DA The summary of results is shown in table 1: Table 1

Increasing the resistance in the circuit causes a decrease in the change of voltage and charging time. Graph 1: Shows Resistance over charging time. Graph 2: Current over time. 0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2 0 100000 200000 300000 400000 500000 600000 Time (Seconds) Resistance (Ohms Resistance v. Time 0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0 0.0000005 0.000001 0.0000015 0.000002 0.0000025 0.000003 0.0000035 0.000004 0.0000045 Time Seconds Current (F) Current v Time

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Our group took steps to insure we did not overlook small differences by adjusting all the inputs we could control. We took note of the changes made by adjusting values of voltage, capacitance, frequency, resistance, offset and amplitude. Conclusion: PI According to our trials the discharging time was longer in the majority of them. After looking at our data there seems to be no correlation between the voltage and the charging time. It has been shown that when the charging time increases the voltage increases. The charging time is increased when the resistance is increased. Finally, when the voltage increases the charging time increases as well. After doing research about RC circuits and charging time it is noticed that when the charging time increases the capacitor voltage will increase as well. This can also be seen through our results. Although this agrees with our results it is in a different way because of the small amounts of data being taken. There is not enough data in the number of trials.