EECS 215 F07 Problem Set 9

# EECS 215 F07 Problem Set 9 - and the natural frequency of...

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1 EECS 215 Winter 2007 Problem Set #9 Assigned: Wednesday, 11/21/07 Due: Friday , 11/30/07 Homework is due at the beginning of lecture. Reading Assignment: A&S Chapter 9, 10 1. 1 and i 2 for t>0 in the circuit below. S-domain analysis encouraged! 2. A&S 9.12, 3. A&S 9.16, 4. A&S 9.18,

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2 5. in AND the input impedance Z in for the circuits below, where ω =1000 rad/s. 6. ab for the network below. Since you cannot reduce with series/parallel, you will need to apply test current/voltage to determine Z ab . 7. x in the circuit below. 8. A&S 10.18, Use nodal analysis to obtain V 0 in the circuit below.
3 9. The “challenge” problem ( worth two problems )! For the circuit below, a) Find the general differential equation for v o (t) in terms of the circuit elements and the input v s (t) . Write in terms of variables, not numbers. S-domain analysis is encouraged! b) Determine the damping coefficient
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Unformatted text preview: and the natural frequency of oscillation for this circuit. Determine an expression for the natural solution for v (t) . c) Find and plot v (t) for t &amp;gt;0 if v s (t)=5u(t) V. (Use your best judgement for plot axes. Plot using Matlab, Excel, or other software.) d) Determine the forced solution for v (t) for t&amp;gt;0 if v s (t) = 2 cos(10 7 t) u(t) V by inserting a trial solution of the form A cos(10 7 t) + B sin(10 7 t) into the differential equation from a). (and determine the values for coefficients A and B). e) Determine the forced solution for v (t) for t&amp;gt;0 if v s (t) = 2 cos(10 7 t) u(t) V using phasors (frequency domain). f) Determine the complete solution for v (t) for t&amp;gt;0. Using Matlab, separately plot the natural solution, forced solution, and complete solution for v (t) . C v s (t) R 2 L R 1 v +-i Ki R 1 =10k R 2 =1k C =2nF L =1mH K =0.3...
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EECS 215 F07 Problem Set 9 - and the natural frequency of...

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