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FE/EIT Circuits Review Agenda DC Circuits Basic Definitions Circuit Components DC Circuit Laws Kirchoff’s Laws Civil Engineering Example AC Circuits

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Page 1: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

FE/EIT Circuits ReviewAgenda

• DC Circuits• Basic Definitions

• Circuit Components

• DC Circuit Laws

• Kirchoff’s Laws

• Civil Engineering Example

• AC Circuits

Page 2: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

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DC Glossary of Terms/Quantities

Q –

I –

V –

W –

P -

Page 3: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

FE/EIT Circuits ReviewGlossary of Terms/Quantities

Circuit

Node

Page 4: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

DC Circuits Components:

Page 5: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

DC Circuit Laws Ohm’s Law and Passive Sign Convention

Dual for Inductor and Capacitor

Page 6: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

DC Circuit Laws Kirchoff’s Laws

Page 7: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Civil Engineering Circuit Analogy

Page 8: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

FE Practice Problems

Page 9: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Series and Parallel

Page 10: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Equivalent Resistors and Black Box

Page 11: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Mesh Analysis

Page 12: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

FE Trick: Voltage and Current Division

Page 13: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Practice Problems (cont.)

Page 14: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Power – WATT is it?

Page 15: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Practice Problems (cont.)

Page 16: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Practice Problems (cont.)

Page 17: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Conductance – Dual of Resistance

Page 18: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Practice Problems (cont.)

Page 19: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Practice Problems (cont.)

Page 20: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Practice Problems (cont.)

Page 21: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

FE Trick – Source Transformation

Page 22: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

FE Trick - Superposition

Page 23: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Practice Problems (cont.)

Page 24: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Practice Problems (cont.)

Page 25: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Take a Break

Page 26: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

AC Circuits Complex Numbers: i or j?

Components:

Page 27: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions
Page 28: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions
Page 29: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

New Terms Z –

R –

X –

Y –

S –

Q –

P –

Page 30: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Key to Analyzing AC Circuits: Phasors Basic Idea:

How to find magnitude and phase?

Page 31: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions
Page 32: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Practice Problems (cont.)

Page 33: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Average Value and Root Mean Square (RMS)

Page 34: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Average Value and Root Mean Square (RMS) (cont.)

Page 35: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Practice Problems (cont.)

Page 36: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Practice Problems (cont.)

a = 35.0000 +20.0000i -25.0000 -25.0000 75.0000 -20.0000i

-50.0000 -28.2843 -28.2843i

I = -1.6348 + 0.6670i-0.8223 - 0.3741i

Page 37: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Practice Problems (cont.)

v=(20+j*20)*zeqv = 70.2946 + 7.0711i

zeq = 1/(1/(6+j*8)+1/(-j*3)+1/4)zeq = 1.9341 - 1.5806i

Vabs =70.6494

Page 38: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Practice Problems (cont.)

Page 39: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

AC Power

Instantaneous Power =

Complex power S = P + jQ = V x I

Real power (P) [Unit: W]

Reactive power (Q) [Unit: var]

Apparent Power (|S|) [Unit: VA]

Power Factor

Page 40: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Practice Problems (cont.)

>> cos(angle(4+j*3))

ans =0.8000

Page 41: FE/EIT Circuits Review - University of Kentuckykspe.engineering.uky.edu/files/2012/02/Walcott-Circuits-Notes.pdf · FE/EIT Circuits Review Agenda • DC Circuits • Basic Definitions

Dr. Bruce Walcott

Thank You and Good Luck!