hwk09 - Z T s ( ) for the electrical circuit below....

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ME 375 HOMEWORK #9 Spring 2010 Out: March 31, 2010 Due: April 7, 2010 CORRECTED: April 2, 2010 PROBLEM 1 : (30%) a) Determine the equivalent impedance Z T s ( ) for the electrical circuit below. Determine the transfer function G s ( ) = V o s ( ) / I i s ( ) . b) Based on your transfer function in a), determine the input/output differential equation for the output v o t ( ) and the input i i t ( ) . c) If R = 0.2 ! , C = 4 ! 10 " 5 F and L = 1 ! 10 " 3 H , determine the % overshoot and the 2% settling time for the output v o t ( ) corresponding to a step input for i i t ( ) . i i (t) L R C I i (s) Z T v o (t)
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PROBLEM 2 : (40%) a) Determine the equivalent impedance
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Unformatted text preview: Z T s ( ) for the electrical circuit below. Determine the transfer function G s ( ) = V o s ( ) / I i s ( ) . b) Is critical damping possible in the system if C = 1 ! 10 " 5 F and L = 1 ! 10 " 3 H ? If so, at what value of R will critical damping exist? PROBLEM 3 : (30%) a) Solve Problem 6.35 from the textbook. b) Draw the block diagram for this system for an input voltage V f s ( ) and the output speed of the load ! 2 s ( ) . c) Determine the transfer function G s ( ) = ! 2 s ( ) / V f s ( ) . v o (t) L R C R R Z T i i (t) i i (t)...
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This note was uploaded on 12/22/2011 for the course ME 375 taught by Professor Meckle during the Fall '10 term at Purdue University-West Lafayette.

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hwk09 - Z T s ( ) for the electrical circuit below....

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