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Inductance, inductors, RL circuits Lecture 23

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Page 1: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

Inductance, inductors, RL circuits

Lecture 23

Page 2: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

Induction/Inductors

L = �B/I

E = �d�B

dt= �L

dI

dt= �VL

VL = LdI

dt

Page 3: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

Self-Inductance

Page 4: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

Calculation of inductance:

Page 5: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

New: RL circuits

L = �B/IVL = L

dI

dt

Page 6: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

(Reasoning) RL Circuits 1

VL = LdI

dt

Page 7: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

(Reasoning) RL Circuits 1

VL = LdI

dt

Page 8: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

RL Circuits: Detailed Analysis

VL = LdI

dt

Page 9: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

RL Circuits: Detailed Analysis

• Results

Page 10: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

RL Circuits: Detailed Analysis

VL = LdI

dt

Page 11: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

RL Circuits: Detailed Analysis

• Results

Page 12: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

Where is the energy stored?

Page 13: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

Where is the energy stored?

Page 14: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

RLC circuitsLecture 25

Page 15: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

LC Circuits

VC(t) =Q(t)

C

VL(t) = LdI(t)

dt

VL(t) = Ld2Q(t)

dt2

I

Page 16: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

LC Circuits: Detailed Analysis

KVL : VL(t) + VC(t) = 0

0 =Q(t)

C+ L

d2Q(t)

dt2

Page 17: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

LC Circuits: Detailed Analysis

! =

r1

LC

Page 18: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

LC Circuits: Energy conservation

Page 19: Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch

LRC Circuits