chapter 3 inductance and capacitance - michigan technological … notes/chapter... ·...

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ELECTRICAL ENGINEERING Principles and Applications SE OND EDITION Chapter 3 Inductance and Capacitance Chapter 3 Inductance and Capacitance 1. Find the current (voltage) for a capacitance or inductance given the voltage (current) as a function of time. 2. Compute the capacitance of a parallel-plate capacitor.

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Page 1: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Chapter 3Inductance and Capacitance

1. Find the current (voltage) for a capacitance or inductance given the voltage (current) as a functionof time.

2. Compute the capacitance of a parallel-plate capacitor.

Page 2: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

3. Compute the stored energy in a capacitance or inductance.

4. Describe typical physical construction of capacitors and inductors and identify parasitic effects.

5. Find the voltages across mutually coupled inductances in terms of the currents.

Page 3: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 4: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

CAPACITANCE

Cvq =

dtdvCi =

( ) ( ) ( )0

0

tqdttitqt

t

+= ∫

( ) ( ) ( )0

0

1 tvdttiC

tvt

t

+= ∫

Page 5: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 6: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 7: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 8: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 9: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 10: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 11: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 12: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 13: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 14: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Capacitance of the Parallel-Plate Capacitor

WLAdAεC ==

mF 1085.8 120

−×≅ε

0εεε r=

Page 15: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 16: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 17: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 18: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 19: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 20: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

INDUCTANCE

( )dtdiLtv =

( ) ( ) ( )0

0

1 tidttvL

tit

t

+= ∫

( ) ( )tLitw 2

21=

Page 21: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 22: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 23: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 24: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 25: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 26: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 27: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance

Page 28: Chapter 3 Inductance and Capacitance - Michigan Technological … Notes/Chapter... · 2001-10-08 · Inductance and Capacitance 3. Compute the stored energy in a capacitance or inductance

ELECTRICAL

ENGINEERINGPrinciples and

Applications

SE OND EDITION

Chapter 3Inductance and Capacitance