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