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

Magnetically Coupled Circuits XIII.Frequency Response. XIV.The Laplace Transform XV.[r]

Electric Circuit Theory

Capacitor & Inductor - sites.google.com/site/ncpdhbkhn

Contents

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

Capacitor & Inductor

1 Capacitor

2 Inductor

Capacitor (1)

Capacitor & Inductor - sites.google.com/site/ncpdhbkhn

Slope = C

q

v

+

v

–

i, q

C

q = Cv

dv

i

C

dt

→ =

1

( )

t

( )

v t

i

d

C

−∞

α α

=

∫

dq

i

dt

Capacitor (2)

i

1

, q

1

C

1

i

2

, q

2

C

2

v

i, q

+

–

C

eq

= C

1

+ C

2

v

i, q

+

–

1

i

= +

i

i

1

dv

i

C

dt

=

2

dv

i

C

dt

=

1

(

2

)

eq

dv

dv

dv

dv

i

C

C

C

C

C

dt

dt

dt

dt

→ =

+

=

+

=

1

eq n

Capacitor (3)

Capacitor & Inductor - sites.google.com/site/ncpdhbkhn

v

1

C

1

v

2

C

2

v

i, q

+

–

+

–

–

+

v

i, q

+

–

1 2

1

1

1

eq

C

C

C

C C

C

C

=

+

=

+

v

= +

v

v

1

1

1

( )

t

( )

v t

i

d

C

−∞

α α

=

∫

2

1

( )

t

( )

v t

i

d

C

−∞

α α

=

∫

1

1

1

1

( )

( )

1

1

1

( )

( )

t t

t t

eq

v

i

d

i

d

C

C

i

d

i

d

C

C

C

α α

α α

α α

α α

−∞ −∞ −∞ −∞

→ =

+





=



+



=





∫

∫

∫

∫

1

1

1

1

eq n

Inductor (1)

+

v

–

i

L

Slope = L

λ

i

Li

λ

=

d

v

dt

λ

=

di

v

L

dt