Lab 3 - ECE 240-01 LABORATORY #3 Unit Step and Unit Impulse...

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ECE 240-01 LABORATORY #3 Unit Step and Unit Impulse Response February 1, 2008 Professor Hanson Jonathan Gold Lab Partner : Jonathan Gold
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1. Abstract The main objective of this lab was to perform and study the step and impulse response of the first and second order systems using RC and RLC circuits. In order to achieve this, we had to compare our experimental results to the theoretical values, which in the end proved to be very close. 2. Procedure and Data In this experiment we performed two different procedures. In Procedure Part A, a first order RC circuit which consisted of an independent voltage source, a capacitor and a resistor, was used. The circuit used for this part is shown below in Figure A1. Figure A1. RC Circuit The measured resistance of the used resistor was equal to 9.95kΩ, the capacitance was .018μF. The circuit shown in Figure A1 was constructed using this resistor and capacitor. The input x (t) = V IN is a positive rectangular pulse train with pulses going from 0 to 1 volts and a frequency of 400 Hz. In addition, the peak to peak voltage was set up to 1V, along with a ±0.500V DC offset. We gathered the waveform data in MATLAB and EXCEL, only showing the non-zero portion of the input. This is presented below in Figure A2 and Figure A3. In order for us to graph this, we needed to use the MATLAB command: [v1,t1] = savgwave(1,100). -2 0 2 4 6 8 10 x 10 -4 0 1 2 3 4 5 6 7 8 9 10 Oscilloscope Channel 1 Average Time (s) Voltage (V) Figure A2. V C (t) Channel 1 Curve in MATLAB
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Figure A3. V C (t) Channel 1 Curve in EXCEL In Procedure Part B, we used a second order RLC circuit, which consisted of an independent voltage source, an inductor and a resistor. Where the resistor remained
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Lab 3 - ECE 240-01 LABORATORY #3 Unit Step and Unit Impulse...

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