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4/1/2010 1 EE215 FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University of Washington, Bothell Spring 2010 EE215 1 EE215 - FUNDAMENTALS OF EE Electrical Engineering deals with systems that produce, transmit, and measure electrical signals Five major categories: E & M: Communications systems Electronics: device, semiconductors, & transducers Controls & Robotics systems Energy: Power electronics Signal & Image Processing systems They all have one thing in common: Electric Circuits! EE215 2 © TC Chen UWB 2010

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Page 1: EE215 – Fundamentals of Electrical Engineeringfaculty.washington.edu/tcchen/EE215/Lecture note week 1.pdf · EE215 –FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University

4/1/2010

1

EE215 – FUNDAMENTALS OF ELECTRICAL ENGINEERING

Tai-Chang Chen

University of Washington, Bothell

Spring 2010

EE215 1

EE215 - FUNDAMENTALS OF EE

• Electrical Engineering deals with systems that produce, transmit, and measure electrical signals

• Five major categories:– E & M: Communications systems– Electronics: device, semiconductors, & transducers– Controls & Robotics systems– Energy: Power electronics– Signal & Image Processing systems

• They all have one thing in common:

Electric Circuits!

EE215 2© TC Chen UWB 2010

Page 2: EE215 – Fundamentals of Electrical Engineeringfaculty.washington.edu/tcchen/EE215/Lecture note week 1.pdf · EE215 –FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University

4/1/2010

2

EE215 – GOALS AND OBJECTIVES

• Goals:

– Develop the tools to design and analyze (linear) circuits

– Learn the “alphabet” of circuits including

• Wires and switches

• Resistors

• Capacitors

• Inductors

• Independent and dependent voltage and current sources

• Operational amplifiers

EE215 3© TC Chen UWB 2010

EE215 – GOALS AND OBJECTIVES

• Objectives:– Identify linear systems and represent them in

schematic form– Apply Kirchhoff’s and Ohm’s Law– Simplify circuits– Perform node and loop analysis

( systems of linear equations)– Identify and model first and second order electric

systems involving capacitors and inductors ( differential equations)

– Predict their transient behavior

EE215 4© TC Chen UWB 2010

Page 3: EE215 – Fundamentals of Electrical Engineeringfaculty.washington.edu/tcchen/EE215/Lecture note week 1.pdf · EE215 –FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University

4/1/2010

3

COURSE ADMINISTRATION (1)• Instructor: Tai-Chang Chen (tcchen@u)

• Textbook: Nilsson & Riedel, Electric Circuits 9th

ed.– class will follow textbook closely

– beware of typo’s

• Recitation sessions:– Review of class material, work out more elaborate

examples, build and present lab circuits, discuss material with other students

EE215 5© TC Chen UWB 2010

COURSE ADMINISTRATION (2)

• Grades: – Homeworks (20%): top 6 of 7

• Homeworks are individual work

• Not all problems may be graded

• Homeworks are due at the beginning of class Fridays

– Labs (20%): 5 demos + reports

– Exams (60%)• One midterm @ 30%, one final @ 30%

• Tentative midterm date: 05/07

• Final Exam: 06/11

EE215 6© TC Chen UWB 2010

Page 4: EE215 – Fundamentals of Electrical Engineeringfaculty.washington.edu/tcchen/EE215/Lecture note week 1.pdf · EE215 –FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University

4/1/2010

4

ANNOUNCEMENTS

• NO recitation sessions this week.

• 1st homework posted today.

• 1st Lab posted today, due on the 3rd week.

• Materials covered this week: chapter 1; 2.1-2.3

EE215 7© TC Chen UWB 2010

WEEK 1CIRCUIT BASICS

March 31, 2010

EE215 8© TC Chen UWB 2010

Page 5: EE215 – Fundamentals of Electrical Engineeringfaculty.washington.edu/tcchen/EE215/Lecture note week 1.pdf · EE215 –FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University

4/1/2010

5

QUESTIONS TO ANSWER• Electric Circuits

– What is an electric circuit?

– How to build an electric circuit?

• Current, Voltage, and Power

– What are those parameters?

– What is Ohm’s law?

• Power calculation (passive sign convention)

– What is the developed or dissipated power?

EE215 9© TC Chen UWB 2010

ELECTRIC CIRCUITS

• Example: car battery

12V

“actual electrical system”

EE215 10© TC Chen UWB 2010

Page 6: EE215 – Fundamentals of Electrical Engineeringfaculty.washington.edu/tcchen/EE215/Lecture note week 1.pdf · EE215 –FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University

4/1/2010

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BASIC CIRCUIT ELEMENTS

• Ideal basic circuit elements:

• General representation:

EE215 11

+

–v

i

© TC Chen UWB 2010

IDEAL BASIC CIRCUIT ELEMENTS

• Ideal voltage source

• Ideal current source

• Resistor

• List of circuit elements to be continued…

EE215 12© TC Chen UWB 2010

Page 7: EE215 – Fundamentals of Electrical Engineeringfaculty.washington.edu/tcchen/EE215/Lecture note week 1.pdf · EE215 –FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University

4/1/2010

7

CURRENT AND VOLTAGE SOURCES

• Example: which circuits are permissible, and which violate the constraints imposed by ideal sources?

(a)

(b)

(c)

(d)

EE215 13© TC Chen UWB 2010

CURRENT (1)

• Electrical current

EE215 14© TC Chen UWB 2010

Page 8: EE215 – Fundamentals of Electrical Engineeringfaculty.washington.edu/tcchen/EE215/Lecture note week 1.pdf · EE215 –FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University

4/1/2010

8

CURRENT (2)

- - - - -

i

(The reason for this is that Ben Franklin had to pick a direction for current flow. He had no idea what actually moved. He guessed wrong.)

Don’t worry too much about what physically moves until you are inside the guts of semiconductors in advanced EE courses. Just think of current as the flow of positive charge.

EE215 15© TC Chen UWB 2010

CURRENT (3)

• Charge, q,

• Current, i,

EE215 16© TC Chen UWB 2010

Page 9: EE215 – Fundamentals of Electrical Engineeringfaculty.washington.edu/tcchen/EE215/Lecture note week 1.pdf · EE215 –FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University

4/1/2010

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VOLTAGE (1)

• Like pressure making water flow, creating a current, voltage

• Voltage has symbol v and units of volts (V), named after an Italian physicist. (Volta of frog leg fame.)

• Pressure is measured between two points, a high pressure point and a low pressure point. (Even when you measure the pressure in a tire, you are measuring the pressure between the tire and the atmosphere.)

EE215 17© TC Chen UWB 2010

VOLTAGE (2)

• Similarly, voltage is measured between two points,

vab vba

a

b

+

- +

-

EE215 18© TC Chen UWB 2010

Page 10: EE215 – Fundamentals of Electrical Engineeringfaculty.washington.edu/tcchen/EE215/Lecture note week 1.pdf · EE215 –FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University

4/1/2010

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POWER (1)

• Another definition of voltage,

EE215 19© TC Chen UWB 2010

POWER (2)

• where W is work.

• A lot of the general public get power and energy mixed up. Power, p, is

EE215 20© TC Chen UWB 2010

Page 11: EE215 – Fundamentals of Electrical Engineeringfaculty.washington.edu/tcchen/EE215/Lecture note week 1.pdf · EE215 –FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University

4/1/2010

11

POWER (3)

• Let's do a trick and apply the Chain Rule.

Now note that we know what each of the derivatives in the chain is: voltage and current! So

EE215 21© TC Chen UWB 2010

CAR BATTERY EXAMPLE (AGAIN)

• What is Ohm’s Law ?

EE215 22© TC Chen UWB 2010

Page 12: EE215 – Fundamentals of Electrical Engineeringfaculty.washington.edu/tcchen/EE215/Lecture note week 1.pdf · EE215 –FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University

4/1/2010

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RESISTORS AND OHM’S LAW

EE215 23© TC Chen UWB 2010

CAR BATTERY EXAMPLE (AGAIN)

• What is the developed or dissipated power ?

EE215 24

+

12V

3

i

+

i

i

© TC Chen UWB 2010

Page 13: EE215 – Fundamentals of Electrical Engineeringfaculty.washington.edu/tcchen/EE215/Lecture note week 1.pdf · EE215 –FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University

4/1/2010

13

CAR BATTERY EXAMPLE (AGAIN)

EE215 25

12V 12V

i

© TC Chen UWB 2010

MORE IDEAL BASIC CIRCUIT ELEMENTS

• Ideal dependent sources

• Ideal dependent voltage-controlled voltage source (VCVS)

• Ideal dependent voltage-controlledcurrent source (VCCS)

EE215 26© TC Chen UWB 2010

Page 14: EE215 – Fundamentals of Electrical Engineeringfaculty.washington.edu/tcchen/EE215/Lecture note week 1.pdf · EE215 –FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University

4/1/2010

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MORE IDEAL BASIC CIRCUIT ELEMENTS

• Ideal dependent current-controlled voltage source (CCVS)

• Ideal dependent current-controlledcurrent source (CCCS)

• Capacitor (to be discussed later)

• Inductor (to be discussed later)

EE215 27© TC Chen UWB 2010

(a)

(b)

(c)

(d)

EE215 28

MORE EXAMPLES: CURRENT AND VOLTAGE SOURCES

© TC Chen UWB 2010

Page 15: EE215 – Fundamentals of Electrical Engineeringfaculty.washington.edu/tcchen/EE215/Lecture note week 1.pdf · EE215 –FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University

4/1/2010

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POWER DISSIPATION IN RESISTORS

• Recall that power is

• Therefore

• Example (a):

EE215 29© TC Chen UWB 2010

MORE EXAMPLES

(b)

(c)

(d)

EE215 30© TC Chen UWB 2010

Page 16: EE215 – Fundamentals of Electrical Engineeringfaculty.washington.edu/tcchen/EE215/Lecture note week 1.pdf · EE215 –FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University

4/1/2010

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PASSIVE SIGN CONVENTION

• It is useful to establish an agreement about voltage drop, direction of current, and sign of voltage / current.

EE215 31© TC Chen UWB 2010

EXAMPLES

(a)

(b)

(c)

EE215 32© Karl F. Böhringer/TC Chen Spring 2009

Page 17: EE215 – Fundamentals of Electrical Engineeringfaculty.washington.edu/tcchen/EE215/Lecture note week 1.pdf · EE215 –FUNDAMENTALS OF ELECTRICAL ENGINEERING Tai-Chang Chen University

4/1/2010

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A MORE INTERESTING EXAMPLE

• What does this circuit do?

EE215 33

+– 8250vRvR

+vin vout

+

© TC Chen UWB 2010