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: , . (efkout@electronics.tuc.gr)

: 12:00-14:00 17:00-19:00

:

. & : 09:00-11:00 &

09:00-11:00

. : 13:00-15:00, 11:00-13:00 13:00-15:00

12:00-14:00

.

- ( 101), ( 201)

:(,email: amalia@elci.tc.gr) &

(,email: geomark@elci.tuc.gr)

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.

:

1:

. , , , 1, 2011,

: 12425974.

2:

. , , 1

, ,2010, :18548660.

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.

,Kirchhoff, Tellegen,

,

(, , .),

, , , ,

,

,

,

,

,

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()

1, 2 :

- ,

- ,

- ,

- ,

- .

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()

,

,

Laplace (,, ,

, ),

( Bode, -, ,

),

.

5/27/2018 1

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.

:

(2) ,

: 14/2,

: 19/2,

courses.ece.tuc.gr.

:

courses.ece.tuc.gr.

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courses.ece.tuc.gr ().

: 25/2.

4 .

,

,

courses.ece.tuc.gr.

1, 2 3

().

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,

.

( ) .

: (i) , (ii)

(iii)

.

,

,

.

5/27/2018 1

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.

(1) ( )

. ,

.

,

.

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,

(

,).

.

.

(40%), (10%)

(50%). ,

5 .

,

,

(202).

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.

(

).

.

.

: 30% & : 70%

5 ,.

.

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.

1. C. . Desoer, E. S. Kuh, Basic Circuit Theory, McGraw-Hill, 1969, . .

: TK454.2D4.

2. . , , , 2009.

3. . , . , . , -

, , 2010.

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. 2012-13

31/10828.7%

53/108 49.1%

22/108 20.4%

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1.

, :

:

( ) .

2. :

(.

)

(.

).

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(, .).

:

,

.

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:

:

, (-).

:

(analog), (digital), (mixed signal,

-).

:

, (integrated circuits).

:

, .

:

,-.

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:

(, -)

:

.

5/27/2018 1

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:

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Very Large Scale Integration (VLSI):

5/27/2018 1

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:

5/27/2018 1

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:

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& :

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:

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:

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,

Maxwell:

Maxwell

2

.

axwell

Kirchhoff

:

Maxwell:

,

3 : .

Kirchhoff:

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(lumped circuits).

,

.

(c = x f):

( = )

.

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(.. , , , )

.

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:

(distr ibu ted circuits)

o

.

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Kirchhoff,

.

(

) (integrated circuit)

n .

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.

:

d: , :

:

vA(t)=Vosin(2108t)

c = 3 x 108m/sec

f = 100 MHz

T = 10 x 109sec

= c / f = 3 m

: C:

Kirchhoff

.

vB(t)=Vo sin[2108(t-0.5 x 10-8)]

=Vosin(2108t-)

= -Vosin(2108t)= -vA(t)

vC(t)=Vo sin[2108(t - 4 x 10-11)]

=Vo

sin(2108t-1.3o)

vA(t)

-9 -8

d = AB = 1.5m

= d / c = 5x10 sec = 0.5x10 -11d' = AC = 1.2cm

' = d' / c = 4 x10 sec

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:

:

=

>

<

= (. )

= (. , )

= (. Si, Ge)

: 1 Coulomb = 1C

= 1.602176487x 1019C

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: .

=

=

dt

tdqti

)()( (Ampere)

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= () (q):

dEv(q)=

dq

Volt,

1 Volt = 1 Joule 1 Coulomb.

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t t

0

E(t) v( )i( )d E(0) v( )i( )d

dq v(q)

:

:],( tt

q(t)

1 10

dE

v(q) = dE = v(q)dq E(t) = v(q )dqdq

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:

= :

)()()( titvtp

dE(t)p(t)=dt

p(t)>0 .

p(t)

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:

(nodes):

.

(branch) .

(branch voltage).

(branch current).

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: .

(path) : ,

.

( )=

.

:

(...)

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.

: I II.

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, v(t),

, i(t), .

(reference direction):

: ,

: + - ()

- +.

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, v(t), (+) (-)

t[v(t) > 0], :

(

).

, i(t),

t [i(t) > 0], :

.

, v(t),

, i(t), .

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( , associated reference directions)

(+) (-):

,

v(t)i(t) .

, i , v.

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v(t)

i(t) (

)

v(t) R:

: -v(t)

i(t)

+

-

v(t)

i(t) (

)

i(t) R:

:

-i(t)

v(t)

http://upload.wikimedia.org/wikipedia/en/d/de/OhmsLaw.svghttp://upload.wikimedia.org/wikipedia/en/d/de/OhmsLaw.svghttp://upload.wikimedia.org/wikipedia/en/d/de/OhmsLaw.svghttp://upload.wikimedia.org/wikipedia/en/d/de/OhmsLaw.svghttp://upload.wikimedia.org/wikipedia/en/d/de/OhmsLaw.svghttp://upload.wikimedia.org/wikipedia/en/d/de/OhmsLaw.svghttp://upload.wikimedia.org/wikipedia/en/d/de/OhmsLaw.svghttp://upload.wikimedia.org/wikipedia/en/d/de/OhmsLaw.svghttp://upload.wikimedia.org/wikipedia/en/d/de/OhmsLaw.svghttp://upload.wikimedia.org/wikipedia/en/d/de/OhmsLaw.svghttp://upload.wikimedia.org/wikipedia/en/d/de/OhmsLaw.svghttp://upload.wikimedia.org/wikipedia/en/d/de/OhmsLaw.svghttp://upload.wikimedia.org/wikipedia/en/d/de/OhmsLaw.svghttp://upload.wikimedia.org/wikipedia/en/d/de/OhmsLaw.svg

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1 2 1 2f x x f x f x

f ax a f x

(linear function):+

(homogeneous function):

(additive function):

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(rectangular representation): z=x+jy

(polar representation): z=|z|ej

: z=|z|

:

j2 = -1,

|z|= z,

=arctan(y/x)

z = |z|cos+ j |z|sin

: z*= x- jy zz*=|z|2

: z1 z2 = |z1| |z2| ej(1+2)

: z /z = (|z |/|z |) ej(1-2)