Information Transmission Appendix B, Circuit theory OVE EDFORS - - PowerPoint PPT Presentation

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Information Transmission Appendix B, Circuit theory OVE EDFORS - - PowerPoint PPT Presentation

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Information Transmission Appendix B, Circuit theory OVE EDFORS ELECTRICAL AND INFORMATION TECHNOLOGY L e a r n i n g o u t c o m e s A f t e r t h i s l e c t u r e t h e s t u d e n t s h o u l d

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SLIDE 1

Information Transmission Appendix B, Circuit theory

OVE EDFORS ELECTRICAL AND INFORMATION TECHNOLOGY

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SLIDE 2

O v e E d f

  • r

s E I T A 3

  • A

p p e n d i x B 2

L e a r n i n g

  • u

t c

  • m

e s

A f t e r t h i s l e c t u r e t h e s t u d e n t s h

  • u

l d

– K

n

  • w

t h e p r

  • p

e r t i e s

  • f

, a n d b e a b l e t

  • p

e r f

  • r

m b a s i c c a l c u l a t i

  • n

s w i t h , r e s i s t

  • r

s , i n d u c t

  • r

s a n d c a p a c i t

  • r

s

– K

n

  • w

h

  • w

r e s i s t

  • r

s , i n d u c t

  • r

s , a n d c a p a c i t

  • r

s , b e h a v e w h e n s i n u s

  • i

d a l s i g n a l s a r e a p p l i e d .

– K

n

  • w

K i r c h h

  • f

f ' s v

  • l

t a g e a n d c u r r e n t l a w s a n d u n d e r s t a n d h

  • w

t h e y a r e a p p l i e d t

  • p

e r f

  • r

m b a s i c c a l c u l a t i

  • n

s

  • n

e l e c t r

  • n

i c c i r c u i t s .

– U

n d e r s t a n d t h e i m p e d a n c e c

  • n

c e p t a n d h

  • w

t

  • c

a c l c u l a t e t h e t

  • t

a l i m p e d a n c e

  • f

m u l t i p l e i m p e d a n c e s c

  • n

n e c t e d i n s e r i a l

  • r

p a r a l l e l

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SLIDE 3

O v e E d f

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s E I T A 3

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p p e n d i x B 3

Wh e r e a r e w e i n t h e B I G P I C T U R E ?

Electronics for analog input and output, including sampling and reconstruction. Models of transmission and storage media. Lecture relates to pages 281–293 in textbook.

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SLIDE 4

O v e E d f

  • r

s E I T A 3

  • A

p p e n d i x B 4

R e s i s t

  • r

s , I n d u c t

  • r

s , C a p a c i t

  • r

s

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SLIDE 5

O v e E d f

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s E I T A 3

  • A

p p e n d i x B 5

R e s i s t

  • r

s

Does not depend

  • n frequency.
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SLIDE 6

O v e E d f

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s E I T A 3

  • A

p p e n d i x B 6

I n d u c t

  • r

s

Depends (increases) with frequency.

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SLIDE 7

O v e E d f

  • r

s E I T A 3

  • A

p p e n d i x B 7

C a p a c i t

  • r

s

Depends on (decreases with) frequency.

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SLIDE 8

O v e E d f

  • r

s E I T A 3

  • A

p p e n d i x B 8

I m p e d a n c e

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SLIDE 9

O v e E d f

  • r

s E I T A 3

  • A

p p e n d i x B 9

I m p e d a n c e

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SLIDE 10

O v e E d f

  • r

s E I T A 3

  • A

p p e n d i x B 1

K i r c h h

  • ff

’ s c u r r e n t l a w

OR:

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SLIDE 11

O v e E d f

  • r

s E I T A 3

  • A

p p e n d i x B 1 1

K i r c h h

  • ff

’ s v

  • l

t a g e l a w

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SLIDE 12

O v e E d f

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s E I T A 3

  • A

p p e n d i x B 1 2

E x a m p l e 1 ( E x a m p l e B . 1 i n t e x t b

  • k

)

What is i1, i2, i3, v1, v2, v3?

Ohms law: Six unknowns – we need six equations! (resistor ) (resistor ) (resistor ) Kirchoff's voltage law: Kirchoff's current law: (loop 1) (loop 2) (outer loop)

One of these are redundant, so we need

  • ne more.

(node a) Solution:

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SLIDE 13

O v e E d f

  • r

s E I T A 3

  • A

p p e n d i x B 1 3

S e r i a l i m p e d a n c e

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SLIDE 14

O v e E d f

  • r

s E I T A 3

  • A

p p e n d i x B 1 4

E x a m p l e 2 ( E x a m p l e B . 2 i n t e x t b

  • k

)

What is v(t)?

Total (serial) impedance at frequency : Ohm's law gives:

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SLIDE 15

O v e E d f

  • r

s E I T A 3

  • A

p p e n d i x B 1 5

P a r a l l e l i m p e d a n c e s

What is the equivalent parallel impedance?

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SLIDE 16

O v e E d f

  • r

s E I T A 3

  • A

p p e n d i x B 1 6

P a r a l l e l i m p e d a n c e s

Often we have only two impedances in parallel and get

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SLIDE 17

O v e E d f

  • r

s E I T A 3

  • A

p p e n d i x B 1 7

S p l i t

  • f

v

  • l

t a g e a n d c u r r e n t

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SLIDE 18

O v e E d f

  • r

s E I T A 3

  • A

p p e n d i x B 1 8

S u m m a r y

  • R

e s i s t

  • r

s , i n d u c t

  • r

s & c a p a c i t

  • r

s

– We

c a n a p p l y O h m ' s l a w , a l s

  • f
  • r

i n d u c t

  • r

s a n d c a p a c i t

  • r

s , b y u s i n g a n d i n p l a c e

  • f

” r e s i s t a n c e ” .

– I

m p e d a n c e i s t h e r e l a t i

  • n

b e t w e e n v

  • l

t a g e a n d c u r r e n t (

  • f

t e n f r

  • m

a c

  • m

b i n a t i

  • n
  • f

r e s i s t

  • r

s , i n d u c t

  • r

s a n d c a p a c i t

  • r

s ) .

  • K

i r c h

  • f

f ' s l a w s ( g e n e r a l )

– C

u r r e n t l a w: A t a l l t i m e s , t h e s u m

  • f

a l l c u r r e n t s i n t

  • a

n

  • d

e m

  • s

t e q u a l t h e s u m

  • f

c u r r e n t s l e a v i n g t h e n

  • d

e . ( C h a r g e c a n ' t a c c u m u l a t e i n a n

  • d

e . )

– V

  • l

t a g e l a w: A t a l l t i m e s , t h e s u m

  • f

v

  • l

t a g e s a r

  • u

n d a n y c l

  • s

e d l

  • p

i n a c i r c u i t m u s t b e z e r

  • .
  • T

y p i c a l c i r c u i t s ( s p e c i a l c a s e s )

– S

e r i a l a n d p a r a l l e l i m p e d a n c e

– S

p l i t

  • f

v

  • l

t a g e a n d c u r r e n t

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SLIDE 19