Inductance, inductors, RL circuitsmtshasta.phys.washington.edu/Phys122Au2016/LecturePDFs/... · 2016. 11. 23. · Self-Inductance L = Lion zzr . Solenoids RL Circuit . Closing Switch
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Inductance, inductors, RL circuits
Lecture 23
Induction/Inductors
L = �B/I
E = �d�B
dt= �L
dI
dt= �VL
VL = LdI
dt
Self-Inductance
Calculation of inductance:
New: RL circuits
L = �B/IVL = L
dI
dt
(Reasoning) RL Circuits 1
VL = LdI
dt
(Reasoning) RL Circuits 1
VL = LdI
dt
RL Circuits: Detailed Analysis
VL = LdI
dt
RL Circuits: Detailed Analysis
• Results
RL Circuits: Detailed Analysis
VL = LdI
dt
RL Circuits: Detailed Analysis
• Results
Where is the energy stored?
Where is the energy stored?
RLC circuitsLecture 25
LC Circuits
VC(t) =Q(t)
C
VL(t) = LdI(t)
dt
VL(t) = Ld2Q(t)
dt2
I
LC Circuits: Detailed Analysis
KVL : VL(t) + VC(t) = 0
0 =Q(t)
C+ L
d2Q(t)
dt2
LC Circuits: Detailed Analysis
! =
r1
LC
LC Circuits: Energy conservation
LRC Circuits
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