Section 6 4 TRƯỜNG ĐIỆN TỪ

No Slide Title Slide Presentations for ECE 329, Introduction to Electromagnetic Fields, to supplement “Elements of Engineering Electromagnetics, Sixth Edition” by Nannapaneni Narayana Rao Edward C Jor[.]

Introduction to Electromagnetic Fields,

to supplement “Elements of Engineering

Electromagnetics, Sixth Edition”

by

Nannapaneni Narayana Rao

Edward C Jordan Professor of Electrical and Computer Engineering

University of Illinois at Urbana-Champaign, Urbana, Illinois, USA

Distinguished Amrita Professor of Engineering Amrita Vishwa Vidyapeetham, Coimbatore, Tamil Nadu, India

Lines with ReactiveTerminations and Discontinuities

L

V 0

2 + V –

–

V 0

2Z 0 V

–

Z 0

+

–

aa

t = 0

Z 0 , T

S

Z 0

L

V 0

I L

Line Terminated by an

Inductor

0 0

0 0

t T



 

 

 

V 0

2  V –  L d dt

V 0

2Z 0 – V

–

Z 0





    B.C.

Using I.C.,

0

0 0

0

2 2

V T L

V

L dV V

Z dt

V









0

Z T L

V V Ae

 

V – (l,t)  – V 0

2  V 0 e

–Z 0

L (t – T)

t  T

I – (l,t) – V – (l,t)

Z 0

 V 0 2Z 0 – V Z 0 0 e

– Z 0

L (t –T)

t  T

A V 0 e

Z 0

L T

z

(–)

V 0

0

T

2T 3T

0

V 0 /2

–V 0 /2

0

T

2T V L

–V 0 /2 V 0 /2

1

3T

 = 0

z

0

T

2T

3T

0

V 0 /2Z 0

0

T

2T

I L

l

3T

–V 0 /2Z 0 –V 0 /2Z 0

V 0 /2Z 0

(+)

V 0

Z 0

– = 0

t = T/2

(+)

V

V

0

(–)

t = 5T/2

(+)

z l

t = T/2

I

t = 3T/2

(+) (–)

(–)

(+)

I

l z

t = 5T/2

t = 0

Z 0 , T

S

Z 0

C

V 0

V L

+ –

t = T+ V L (0–) 0

V 0

2 + V –

–

V 0 2Z 0 V

–

Z 0 +

–

CZ 0 dV –

dt  V – V 2 0

V – V 0

2  Ae

– 1

CZ 0 t

B.C.

t T

V V C d V V

Z Z dt

V V V V





 

 

 

– V 0

2 V 2 0  Ae

– 1

CZ 0 T

A – V 0 e – 1 CZ 0 T

V – (l,t)  V 0

2 – V 0 e

– 1

CZ 0 (t – T)

t > T

– 1

CZ 0 (t – T)

t > T