ECE53B Lab 2: Second Order Band-pass Filters, Lab Reports of Electrical and Electronics Engineering

Download ECE53B Lab 2: Second Order Band-pass Filters and more Lab Reports Electrical and Electronics Engineering in PDF only on Docsity! University of California, San Diego Department of Electrical and Computer Engineering ECE53B, Winter 2002 Lab 2, Second Order Band-pass Filters Note: You must do the circuit analysis and PSpice simulations for Part A and circuit analysis for part B before coming to the Lab. PSpice simulation of part B can be done after you have completed your Lab work. Part A – Band-pass Filter:Consider the band-pass RLC filter shown below. Circuit Analysis: Derive an analytical expression for H(jω). Then, set L = 10 mH, C = 0.01 µF, and R = 1 kΩ and compute the resonance frequency, quality factor, bandwidth, and upper and lower cut-off frequencies of this filter. PSpice Simulation: Use PSpice to simulate this circuit and obtain the frequency response of the filter for L = 10 mH, C = 0.01 µF, and R = 1 kΩ. Plot the Bode plots. From the Bode plots, find the resonance frequency, quality factor, bandwidth, and lower and upper cut-off frequencies of the filter and compare with your analytical formulas. Lab Exercise: Build the circuit and obtain the frequency response (both amplitude and phase shift) of this filter. Take sufficient data points to make meaningful plots. Report the data in tabular form and plot the Bode plots. Compare the Bode plots, resonance and cutoff frequencies, bandwidth, and quality factor of the filter with your PSpice simulations and analytical calculations. Write down your observations from this set of experiments and calculations. oi - - ++ V VR L C Part B – Step Response: Circuit Analysis: Write the differential equation for the RLC circuit above if Vi is a step function. Is this circuit under-damped, over-damped, or critically damped? Lab Exercise: Set the function generator to give you a square wave with a frequency of about 300 Hz. Connect the scope to the output of the circuit. Expand the scope display