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Unformatted text preview: Problem A  RLC circuit analysis v i v o + + R L C 1. Wr ite the transfer function, V out ( s ) V in ( s ) , for the circui t shown above. 2. Gi ven C = 1 F , find the values of R and L such that = 0 .707 and the undamped natural frequency is 5 kHz. (Dont forget to convert to rad/sec!!! ) 3. Using the same values of L and C from part(2), and the locations of any system pole(s) and zero(s) given R = 1000. Sketch the unit step response, clearly indicating the time and magnitude scaling. (Hi nt: use a dominant pole approximation.) Use the IVT and FVT to show that your response starts and ends at the appropriate values. 4. Sketch the log Magnitude vs log frequency, and linear phase vs log fre quency (Bo de plot) for this system based on your calculated poles from part 3. &#8; 5. Again using C = 1 x10 &#21;6 F and R = 1000 now let L = 0 H . (i.e. Remove the inductor from the circuit) Calculate the location of the pole and compare this to the dominant pole found in part 2....
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 Spring '05
 DavidTrumper
 Natural Frequency

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