# We then tested its resistance at room temp and after

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Unformatted text preview: v) 4.00E+00 3.00E+00 2.00E+00 1.00E+00 0.00E+00 -1.00E+00 0 0.005 0.01 0.015 Time (s) 0.02 Input Voltage Capacitor Voltage Figure 3: Shows our raw voltage vs time data for the RC circuit. The blue points represent the input voltage and the red points represent the voltage across the capacitor. Part II: RL Circuits In this part, we replaced the capacitor from Part I with an inductor and added another resistor in parallel with the existing inductor-resistor series. Our measurements our shown in Table 5 and our raw data is plotted in Figure 4. Table 5: Shows the measured values of resistance and inductance in the RL circuit. In our circuit R1 was in series with the inductor while R2 was in parallel with them. R1 (ohms) 7.4 R2 (ohms) 3.3 Inductance (H) 0.010 Voltage vs Time 0.25 0.15 Voltage (v) 0.05 Inductor Voltage -0.05 0 -0.15 -0.25 Time (s) 0.005 0.01 0.015 0.02 0.025 Input Voltage Figure 4: shows the raw data voltage vs time for the RL circuit Part III: Resonance In this part of the lab, we observed the resonant frequency of a circuit, which is the highest frequency with the highest corresponding voltage. We made an RLC circuit out of a resistor, capacitor, and inductor all in series. We measured the voltage at different frequencies using the function generator and recorded the data. Our raw data is plotted in Figure 5. Finally, we calculated the quality factor (Q) and compared the theoretical and experimental resonant frequencies in the Analysis section. Voltage vs Frequency 3 2.5 Voltage (v) 2 1.5 1 0.5 0 600 1100 1600 Frequency (Hz) 2100 2600 Series1 Figure 5: Shows our voltage vs frequency raw data for the RLC circuit. Our resonant frequency can be seen at the peak of the parabola around 1550 Hz. 3 Analysis The first matter of business we took care of in the DC portion of this lab was verifying Ohm's Law (Equation 1). From our measured resistance of r and our output voltage data, we used Ohm's law to calculate all the current data as a function of time. We then pl...
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