fall_2003_pset8

# fall_2003_pset8 - Massachusetts Institute of Technology...

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Unformatted text preview: Massachusetts Institute of Technology Department of Aeronautics and Astronautics Cambridge, MA 02139 16.01/16.02 Unified Engineering I, II Fall 2003 Problem Set 8 Name: Due Date: 10/28/03 Time Spent (min) S10 S11 M5 M6 F1 Study Time Announcements: Unified Engineering I Fall 2003 Problem S10 (Signals and Systems) R 3 R 2 R 4 C 1 L 5 i 5 + – v 1 Consider the circuit above, with C 1 = 0 . 5 F , R 2 = 4 Ω , R 3 = 4 Ω , R 4 = 1 Ω , L 5 = 2 H The initial conditions on the capacitor and inductor are v 1 (0) = 2 V , i 5 (0) = 1 A Find v 1 ( t ) and i 5 ( t ), using the methods discussed in Lecture S10. Note: If you wish, you may use the loop method instead of the node method. Unified Engineering I Fall 2003 Problem S11 (Signals and Systems) R 3 R 2 R 4 C 1 L 5 i 5 + – v 1 Consider the circuit of Problem S10 above, with C 1 = 0 . 5 F , R 2 = 4 Ω , R 3 = 4 Ω , R 4 = 1 Ω , L 5 = 2 H Find the state-space equations that describ e the evolution of the circuit, in the form d x ( t ) = Ax ( t ) dt where v 1 ( t ) x ( t ) = i 5 ( t ) Problem M5...
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## This note was uploaded on 01/28/2012 for the course AERO 16.01 taught by Professor Markdrela during the Fall '05 term at MIT.

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fall_2003_pset8 - Massachusetts Institute of Technology...

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