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Lab 8 Report - Lab 8 Report C Sample Calculations In the...

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Lab 8 Report C. Sample Calculations In the pre-lab, students were asked to calculate unknown resistor values given circuit parameter values such as A0 (DC gain), capacitor values and resonance frequency. Using the following equations, students were able to solve for the resistor values. A 0 = − R 2 R 3 ω0 = 1/ ( R 2 R 4 C 1 C 2) (resonance frequency) Q = R 1 / √ R 2 R 4 * √(C1/C2) (quality factor) D. Discussion In Part A, students used the oscilloscope to analyze the output of a bi-quad filter circuit built on the breadboard when a 100Hz, 1 Vpp square function was used as the input. The output waveform is a highly underdamped voltage response that appears to oscillate for a long period of time. In part B, this procedure was repeated for quality factors of 0.3 and 3, and since these numbers are smaller, a larger amount of damping
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was expected. For a Q of 0.3, the voltage response is overdamped. We noticed how the voltage doesn’t seem to oscillate at all, and reaches its final value at a faster rate. For a
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