ECE 201 Section 4 Lecture 10 Prof Peter Bermel February 1 2012 HW 5 Received 100 assignments Scores 88 14 2 1 2012 ECE 201 4 Prof Bermel Exam 1 Thursday Feb 9 Contents Lectures 1 11 first class until Friday Book chapters 1 3 and 5 Seating will be assigned probably early next week 2 1 2012 ECE 201 4 Prof Bermel Key Properties Linearity theorem voltages and currents are a linear function of all independent sources Superposition theorem Proportionality property 2 1 2012 ECE 201 4 Prof Bermel Example 1 Predicting Outputs I1 V1 Linear Resistive Circuit V2 Iout V1 V V2 V I1 A Iout A 8 0 0 4 0 6 0 12 0 0 3 21 4 2 6 2 1 2012 ECE 201 4 Prof Bermel Example 1 Solution I1 V1 Linear Resistive Circuit V2 Iout V1 V V2 V I1 A Iout A 8 0 0 4 0 6 0 12 0 0 3 21 4 2 6 4 2 12 3 2 21 48 2 1 2012 ECE 201 4 Prof Bermel Example 2 Predicting Outputs I1 V1 Linear Resistive Circuit V2 Iout V1 V V2 V I1 A Iout A 6 12 9 12 3 6 4 9 2 8 4 8 6 2 4 Hand Calculation Technique Can write down the following equations from the results above 3 6 4 9 6 12 9 12 If we multiply the first equation by 2 and add we readily obtain 1 6 This yields 2 11 4 16 This readily gives us 2 2 5 1 6 2 1 2012 ECE 201 4 Prof Bermel MATLAB Technique 2 1 2012 ECE 201 4 Prof Bermel MATLAB code 2 1 2012 ECE 201 4 Prof Bermel Example 2 Solution I1 V1 Linear Resistive Circuit V2 Iout V1 V V2 V I1 A Iout A 6 12 9 12 3 6 4 9 2 8 4 8 6 2 4 17 2 1 2012 ECE 201 4 Prof Bermel Example 3 What are the coefficients and in 30 10 15 Vs 60 5 Is 2 1 2012 ECE 201 4 Prof Bermel vo Example 3 Solution 30 A 10 B 15 Vs 60 5 Is 30 60 10 10 20 2 1 2012 ECE 201 4 Prof Bermel vo Example 3 Solution 30 A 10 B 15 Vs 60 5 Is 3 20 1 10 1 10 30 3 20 0 4 8 4 15 12 2 1 2012 ECE 201 4 Prof Bermel vo Example 3 Solution 30 A 10 B 15 Vs 60 5 Is 15 3 2 1 2012 ECE 201 4 Prof Bermel vo Example 4 Ladder Networks Current and voltage everywhere for this 4loop network What about N loops R R R R I1 Vs 2 1 2012 2R 2R ECE 201 4 Prof Bermel 2R R Example 4 Solution R R R R I1 Vs 2R 2R Assume 1V across resistor at end 2V across first loop 4V across second loop 16 V across fourth loop 2N V with N loops Actual voltages Vs 2M N 2 1 2012 ECE 201 4 Prof Bermel 2R R Homework HW 5 8 solution posted today HW 9 due today by 4 pm at EE 325B HW 10 due Friday DeCarlo Lin Chapter 5 Problem 1 Problem 21 a note the typo you should get Problem 26 2 1 2012 ECE 201 4 Prof Bermel
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