q07 - = R L R s LCs 2 L R s 1 2 of 2 For R 1 = 10k Ω R 2...

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ECE3050Ana logE lectron icsQu iz7 July 1, 2009 Professor Leach Last Name: First Name: Instructions. Print your name in the spaces above. Place a box around any answer. Honor Code Statement: I have neither given nor received help on this quiz. Initials For credit, you must give all equations that you use to calculate your answers. Credit will not be given for any answer without full supporting work. 1 of 2. (a) Solve for the di f erential equation for the voltage V . Consider the current I to be an independent source. (b) Convert the di f erential equation into the transfer function T ( s )= V/I . i = 1 L Z vdt + 1 R v + C dv dt di dt = 1 L v + 1 R dv dt + C d 2 v dt 2 sI = 1 L V + 1 R sV + Cs 2 VZ = V I = s 1 L + s R
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Unformatted text preview: = R L R s LCs 2 + L R s + 1 2 of 2. For R 1 = 10k Ω , R 2 = 20k Ω , R 3 = 2k Ω , and R 4 = 100 Ω , v 1 = 0 . 03 V , and v 2 = − . 02V , solve for and label the voltage at each node in the circuit. (There are 7 node voltages to solve for.) v N 1 = v 1 = 0 . 03V v N 2 = v 2 = − . 02V v O 1 = μ 1 + R 3 R 4 ¶ v 1 − R 3 R 4 v 2 = 21 × . 03 − 20 × ( − . 02) = 1 . 03V v O 2 = μ 1 + R 3 R 4 ¶ v 2 − R 3 R 4 v 1 = 21 × ( − . 02) − 20 × . 03 = − 1 . 02V v O = R 2 R 1 ( v O 1 − v O 2 ) = 2 × (1 . 03 + 1 . 02) = 4 . 1V 1...
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