Lecture Electric circuit theory: Capacitor and inductor - Nguyễn Công Phương

Lecture Electric circuit theory: Capacitor and inductor include all of the following: Capacitor, inductor, the Dc steady state. Inviting ypu refer lecture for more details.

Electric Circuit Theory

Capacitor & Inductor

Nguy ễ n Công Ph ươ ng

I Basic Elements Of Electrical Circuits

II Basic Laws

III Electrical Circuit Analysis

IV Circuit Theorems

V Active Circuits

VI Capacitor And Inductor

VII First Order Circuits

VIII.Second Order Circuits

IX Sinusoidal Steady State Analysis

X AC Power Analysis

XI Three-phase Circuits

XII Magnetically Coupled Circuits

XIII.Frequency Response

XIV.The Laplace Transform

XV Two-port Networks

Capacitor & Inductor

1 Capacitor

2 Inductor

3 The Dc Steady State

Capacitor (1)

Slope = C

q

v

i, q C

q = Cv

dv

dt

→ =

1

C −∞ α α

= ∫

dq i

dt

=

Capacitor (2)

i 1 , q 1

C 1

i 2 , q 2

C 2 v

i, q

+

v

i, q

+

–

1 2

i = + i i

1 1

dv

i C

dt

=

2 2

dv

i C

dt

=

1 dv 2 dv ( 1 2) dv eq dv

1 2

C = C + C + + C

Capacitor (3)

v 1

C 1

v 2

C 2 v

i, q

+

–

–

+

v

i, q

+

1 2

1 2

1

eq

C

C C

C C

C C

=

+

=

+

1 2

v = + v v

1

1

1

v t i d

C α α

−∞

2

2

1

v t i d

C α α

−∞

1 2

eq

i d i d

1 2

C = C + C + + C

Inductor (1)

Slope = L

λ

i

Li

λ =

d v

dt

λ

=

di

v L

dt

→ =

Inductor (2)

v 1

L 1

v 2

L 2 v

i

+

–

–

+

L eq = L 1 + L 2

v

i

+

–

v = + v v

di

dt

=

di

dt

=

L = + + + L L L

Inductor (3)

i = + i i

1

1

1

−∞

2

2

1

v

i

+

–

1 2

1 2

1 2

1

eq

L

L L

L L

=

+

=

+

i 1

L 1

i 2

L 2 v

i

+

–

eq

Capacitor & Inductor

1 Capacitor

2 Inductor

3 The Dc Steady State

The Dc Steady State (1)

di

v L

dt

= const

i =

0

v

→ =

i

i, q C

dv

i C

dt

=

=

0

i

→ =

i = 0

The Dc Steady State (2)

–

C

R 1

Ex 1

Solve the circuit?

L

E

= = =

+

i = = i

0

L

v =

C R

E

+

–

E

R 1

i 1

3

i L

i C

–

–

C