Principios Básicos de Electrotecnia y Semiconductores

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∆

⇔Υ

















































= 6,250 250,,000 000,,000 000,,000 000,,000 000,,000



























































































































H SO 4 H +

SO4 SO 4

−2 Zn +



























































































































2

2

2

 × × ×

2

× 2 × 2 = 2

6

factores

26 2 6

2

6 2 2

× × × 2 × 2 × 2 = 64

64

2

























an

÷a

m

= a n

m

−

(an )m = a n

m

n

= a n

×b

=



×

(a

(a

× b)

n

÷ n)

a b

n

n

=

an bn

























an = a

×a × a × a × a...,

n a0 = 1 a1 = a

a

n

−

=

1 an

n

>



























4,31

3,9

(1, (1,2

4

× (10) 3

× (10)

3

+ 3, 3 ,9

3

× (10)

= 4,31

4

× (10) (4, (4,31 + 0, 0,39) × (10) = 0,39 × (10)

4

+ 0, 0,39

4

× (10) = 4,70 × (10)

4

4

5

5

5

(3,4 × (10) ) = 0,012 × (10) + 3, 3,4 × (10) × (10) ) + (3, (0, (0,012 + 3, 3,4) × (10) = 3,412 × (10) (1 2 × (10) 0 012 × (10) 0 0012 × (10) ) 5

3

3+2

5

5

























(6, (6,4 (2, (2,4

× 10

6

2

6−2

(1,7 × 10 ) = (6, (6,4 ÷ 1,7) × 10 × 10 ) ÷ (1, ) ÷ (3, (3,1 × 10 ) = (2, (2,4 ÷ 3,1) × 10

−7

14

√ a n

−7−14

= 3,76

= 7,74

× 10

× 10

4

−22

n

























T G

1012 109











































































































































































P = R

2

× I

=

V 2 R



















































































































































































































































































































































































































































































































































































































































































mili micro nano pico

mF µF ηF ρF

C = =

Q1 V 1

− V

2

10 10 10 10

=

−3 −6 −9 −12

Q2 V 2

− V

1

C : V 1

− V

2

Q1

Q

C ( C (V

V )

C (V

V )

Q

























 C



V 1

q2

 =

q1

q 1



q2

V dq = =

q1

Q Q2 1 dq = = = (C V 22 C 2C 2C q 2

V 1

q 1 = q = q 2 = q = q 3 = q = q

− V

2

− C V ) = 12 C (V − V ) 2 1

2 2

2 1

V 2

























q

V

C C = =

q V

V =

q C

V 2 =

q 2 C 2

V

V 1 =

q 1 C 1

V 3 =

q 3 C 3

q 1 q 2 q 3 + + C 1 C 2 C 3

V = V 1 + V 2 + V 3 =

q = q 1 = q 2 = q = q 3



1 1 1 V = q + + C 1 C 2 C 3



V 1 1 1 1 = = + + q C T C 1 C 2 C 3 T C T T =

1 1

C 1

C T T =

1

C 1

+ C T T

1

C 2

+

1

C 2

1 + ... +

+

1

C n

1

C 3

⇔

1

n 1 k=1 C k

























q = q = q 1 + q 2 + q 3 q = C

× × V

q 1 = C = C 1

V = V 1 = V 2 = V 3

×V

q T = C 1 T = q 1 + q 2 + q 3 = C

q 2 = C = C 2

×V

q 3 = C = C 3

× V

× V + C × V + C × V = V × × (C + C + C ) 2

3

1

q T T = C 1 + C 2 + C 3 V C T T = C 1 + C 2 + C 3

n

 ⇔

C T T = C 1 + C 2 + . . . + C n

k=1

C T T

C k

2

3

























1µF µF

1µF 1ρF

1µF



























1µF

























C i = C = C v i v (t)

i(t)

∆v ∆t

























mH

µH

























wL =

1 2 Li 2

























LT =

1

L1

+

1

L2

1 + L1 . . . L1

N

3

⇔

L v = L = L v i

∆i ∆t

1

n 1 k=1 Lk





















































































































































V

























12V AC Input

D1

D2

-

220V

D4

0V

D3

RB +

Vo

















































C 1

C 2

























V Z Z I

RZ VZ V

VZ



























































































































V oi oi











































































Principios Básicos de Electrotecnia y Semiconductores

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