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ECE 201, Section 3 Lecture 40 Prof. Peter Bermel [email protected] December 5, 2012

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Page 1: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

ECE 201, Section 3

Lecture 40

Prof. Peter Bermel

[email protected]

December 5, 2012

Page 2: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

Final Exam

• Friday, December 14 from 3:30-5:30 pm in EE 129

• Review sessions:

– Fri., Dec. 7 from 6:30-7:30 pm in MATH 175

– Wed., Dec. 12 from 4:30-5:30 pm in ARMS 1010

• Office hours will be held MWF 12:30-1:30 pm

(including Dec. 14) in EE 331A & by appointment

• TA office hours will be M-F, 8:30 am-4:30 pm,

including December 14 (until 2:30 pm)

12/5/2012 ECE 201-3, Prof. Bermel

Page 3: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

Ideal Op-Amps

• Golden rules:

– Both input currents are zero

– For closed loops: both input voltages are equal

12/5/2012 ECE 201-3, Prof. Bermel

�� = 0�� = 0

�� = ��

Page 4: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

Effective Values

• We can generally define effective values for

periodic signals, � � + = �(�), such that:

��� = 1 � �� �(�) �

����

��• Also known as root-mean-square (rms) value

• For AC signals, ��� = ���

12/5/2012 ECE 201-3, Prof. Bermel

Page 5: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

Average Power for SSS

12/5/2012 ECE 201-3, Prof. Bermel

Over half-integer periods, only the first term contributes, so that:

���� = �� cos�

Page 6: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

Complex Power

• Complex power is defined as:

� = ∗"• For AC signals:

� = �#�$%��#$(%��&)� = ��#$& = �� cos� + ' sin �

• Key definitions:� Re S – average power

� Im S – reactive power

� |S| – apparent power

� cos� – power factor

12/5/2012 ECE 201-3, Prof. Bermel

Page 7: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

Maximum Power Transfer

• For a source with impedance *+ = ,+ + '-+, maximum power is transferred when load impedance *. = * +∗– Resistances are equal: ,. = ,+– Reactances are opposite: -. = −-+

• Magnitude of maximum power transfer:

�0�1 = � +,����4,+

12/5/2012 ECE 201-3, Prof. Bermel

Vin

'-++

-

,+

'-.

,.

Page 8: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

Final Exam: Spring 2010

12/5/2012 ECE 201-3, Prof. Bermel

Page 9: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

12/5/2012 ECE 201-3, Prof. Bermel

Final Exam: Spring 2010

Page 10: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

12/5/2012 ECE 201-3, Prof. Bermel

Final Exam: Spring 2010

Page 11: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

12/5/2012 ECE 201-3, Prof. Bermel

Final Exam: Spring 2010

Page 12: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

12/5/2012 ECE 201-3, Prof. Bermel

Final Exam: Spring 2010

Page 13: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

12/5/2012 ECE 201-3, Prof. Bermel

Final Exam: Spring 2010

Page 14: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

12/5/2012 ECE 201-3, Prof. Bermel

Final Exam: Spring 2010

Page 15: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

12/5/2012 ECE 201-3, Prof. Bermel

Final Exam: Spring 2010

Page 16: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

12/5/2012 ECE 201-3, Prof. Bermel

Final Exam: Spring 2010

Page 17: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

12/5/2012 ECE 201-3, Prof. Bermel

Final Exam: Spring 2010

Page 18: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

12/5/2012 ECE 201-3, Prof. Bermel

Final Exam: Spring 2010

Page 19: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

12/5/2012 ECE 201-3, Prof. Bermel

Final Exam: Spring 2010

Page 20: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

12/5/2012 ECE 201-3, Prof. Bermel

Final Exam: Spring 2010

Page 21: ECE 201, Section 3 Lecture 40 - Purdue Universityweb.ics.purdue.edu/~pbermel/ece201/Lectures-Fall2012/ECE 201-Lecture 40.pdf• HW #39 due today at 4:30 pm in EE 325B • HW #40 (last

Homework

• HW #39 due today at 4:30 pm in EE 325B

• HW #40 (last one!) due Fri.: DeCarlo & Lin,

Chapter 11:

– Problem 30

– Problem 32 [Correction: In ANSWER: change 250 watts

to 4000 watts.]

12/5/2012 ECE 201-3, Prof. Bermel