EE 212: Circuits and Signals II

(updated throughout semester)

Instructor: Kevin Wedeward (Workman 221, 835-5708, wedeward@ee.nmt.edu, www.ee.nmt.edu/~wedeward/)

Class Time/Place: MWF 09:00am-09:50am in Workman 109

Office Hours: MWF 10:00am-12:00pm

Textbook:

• Elementary Linear Circuit Analysis, 2nd Ed., by Leonard S. Bobrow, Oxford University Press, ISBN 9780195113723
• Author's website and errata.

Prerequisite: EE 211 (Circuits and Signals I)

Corequisite: EE 212L (Circuits and Signals II Lab)

Objective: Build upon concepts presented in EE 211, and gain an understanding of

• classical (time-domain) analysis of RLC circuits,
• power concepts when circuits in sinusoidal steady-state, and
• frequency-domain techniques (Laplace Transform, Fourier Series and Fourier Transform) and transfer functions for circuit analysis.

Topics: Selected from chapters 4-6, 9-14 of textbook

Grading:

• A passing grade is required for both the class and lab. You must pass each individually with a D or better to get a combined passing grade.
• Class
  • Homework: 10%
    • Typically assigned every other class.
    • Collaboration is encouraged, but the work turned in must be your own.
    • Homework should be neatly written with all steps clearly shown, single-sided and stapled when multiple pages.
  • Four exams (including final exam): 65%
    • Final exam scheduled for Thursday 05/07/2015 at 06:00pm in Workman 109
• Laboratory: 25%

Reading Assignments:

• Section 4.7, chapters 5 and 6 (01/12/2015)
• Chapter 9 (02/02/2015)
• Chapter 10 (03/02/2015)
• Review Chapter 11 (04/06/2015)
• Chapter 13 (04/08/2015)

Homework:

1. Homework (Hw) 1 due Beginning of Class (BoC) W 01/21/2015: Problems 4.67, 4.70.
2. Hw 2 due BoC M 01/26/2015: Solve dv/dt + 10v = f(t), t >= 0, for v(t) using the classical approach when v(0) = 1/25 and a) f(t) = 2t, b) f(t) = 50sin(20t), and c) f(t) = 3/5.
3. Hw 3 due BoC F 01/30: Problems 5.40 and 5.43 both via classical techniques.
4. Hw 4 due BoC W 02/04: Handout
5. Hw 5 due BoC M 02/09: Problems 6.22, 6.42
6. Hw 6 due BoC W 02/18: Problems 9.22, 9.30 (note mesh-currents given in previous problem), 9.32
7. Hw 7 due BoC M 02/23: Problems 9.24 (for part (a) find effective current with phase), 9.27; for both problems you may assume voltage across the loads has a phase angle of 0
8. Hw 8 due BoC M 03/02: Problems 9.36, 9.37 (assume line impedance is zero)
9. Hw 9 due BoC F 03/13: Problems 10.5, 10.7; for both problems find the half-power frequency in terms of R and C, sketch magnitude and phase responses in terms of R and C, and then assume R = C = 1 and use Matlab to plot the magnitude and phase responses
10. Hw 10 due BoC W 03/25: Problems 10.12, 10.16; for both problems sketch the Bode Plots (gain and phase) using line approximations and then plot with Matlab
11. Hw 11 due BoC W 04/01: Problem 10.19, H(jw) = 1000(jw)/((jw + 1)((jw)^2 + 20(jw) + 10000)); for both sketch the Bode Plots (gain and phase) using line approximations and then plot with Matlab
12. Hw 12 due BoC W 04/08: Problem 10.20; Given Y(s)/X(s) = H(s) = 1/(s + 2) (a) sketch the corresponding Bode Plot (gain and phase) using line approximations, (b) solve for y(t) given x(t) = δ(t), (c) solve for y(t) given x(t) = u(t), (d) solve for y(t) given x(t) = e^(-t)u(t)
13. Hw 13 due BoC M 04/13: For the transfer functions H(s) = -5s/(s^2 + 15s + 50) and H(s) = 20/(s^2 + 4s + 20) find the output when (a) the input is u(t) and (b) the input is 10cos(4t) which has been applied for a long time.
14. Hw 14 due BoC M 04/20: Problem 13.4 also plotting the resulting Fourier Series in Matlab with 25 terms and 50 terms
15. Hw 15 due BoC M 04/27: Problems 13.6, 13.8; plot resulting Fourier Series in Matlab with lots of terms to check answer
16. Hw 16 due BoC F 05/01: Find complex Fourier Series for functions given in Problems 13.4, 13.6, 13.8 without using trigonometric Fourier Series; plot resulting Fourier Series in Matlab with lots of terms to check answer

Examples:

1. Frequency Response - using Matlab to plot frequency responses of three circuits analyzed in class.
2. Frequency Response/Bode Plot - using Matlab to plot frequency responses of three circuits analyzed in class. Here amplitude/magnitude shown in dB and logarithmic axes used for angular frequency.
3. Frequency Response/Bode Plot - using Matlab to generate Bode Plots for examples sketched in class.
4. Trigonometric Fourier Series - using Matlab to generate plots of square wave used in class example.
5. Trigonometric Fourier Series - using Matlab to generate plots of triangle wave used in class example.
6. Complex (Exponential) Fourier Series - using Matlab to generate plots of square wave used in class example.
7. Complex (Exponential) Fourier Series - using Matlab to generate plots of triangle wave used in class example.