EECS 210________________________PROBLEM SET #10_______________________Winter 2001

**ASSIGNED:** March 30, 2001. **Read:** Chapter 14 of text. Replace "s" with "jw" everywhere in it.

**DUE DATE:** April 06, 2001. **In Lab Book:** Read Lab Experiment #6. Start reading Audio Lab.

**THIS WEEK: Bode plots, basic filtering circuits, and resonant RLC circuits.**

- Text #14.3. Simple circuit, but you must analyze it from scratch (still a 1-pole lowpass filter).

Note the effect of loading with the load R_{L}. **Active** filters avoid this problem. SKIP (e).

- Text #14.5. Doing #14.3 first makes (c) and (d) easier; otherwise this is simpler than #14.3.

- Text #14.13. Calculating quantities for series RLC circuit. Q=8; assume this is >>1 so the peak

is symmetric. This makes things much easier than using the ugly formulae on pages 720-722.

- Text #14.19.
*Designing* (specifying R,L,C) a series RLC circuit to meet specs. Q=5>>1.

Again, this makes things much easier than using the ugly formulae on pages 720-722.

- Text #14.36. Compute the
*transfer function*, **not** the step response, from the Bode plot.

Note the line in the range 1< w< 10 does *not* have slope 20 dB/decade, so don't extend it.

Rather, find corner frequencies by noting where gain is 3 dB up or down. Assume 0 dB at DC.

**This is a remarkable thing: Determine a system from some frequency measurements!**

**Reverse engineering problem.** See below.
Click here for pdf file of last problem.

Demographer: someone who believes the average Miamian is born Cuban and dies Jewish.