2 Zbiór zadań z elektrotechniki Aleksy Markiewicz rozwiązania od 2 1do2 16

background image

2.1

Dane:

Szukane:

Wzory:

3

5

1,118

/

Ag

t

h

I

A

k

mg C

=

=

=

m

=


m

k I t

= ⋅ ⋅



3 3600 10800

1,118 5 10800

60372

60, 372

t

s

m

k I t

mg

g

= ⋅

=

= ⋅ ⋅ =

⋅ ⋅

=

=


______________________________________________________________________
2.2

Dane:

Szukane:

Wzory:

1

2

50 min

70

73, 96

4

t

m

g

m

g

I

A

=

=

=

=

Cu

k

=

m

k I t

= ⋅ ⋅


2

1

50 60

3000

73, 96 70

3, 96

3, 96

0, 00033

/

0, 33

/

4 3000

t

s

m

m

m

m

k I t

m

k

g A s

mg C

I t

=

=

=

=

=

= ⋅ ⋅

=

=

=

⋅ =



______________________________________________________________________
2.3

Dane:

Szukane:

Wzory:

10

4

0,3294

/

Cu

m

kg

U

V

k

mg C

=

=

=

W

=

m

k I t

= ⋅ ⋅

W

P t

= ⋅

U

I R

= ⋅

background image

10

10000000

10000000

0, 3294

10000000

4

121432908

33, 7

0, 3294

m

kg

mg

m

k I t

m

I t

k

P

U I

W

P t

U I t

W s

kWh

=

=

= ⋅ ⋅

⋅ =

=

= ⋅

= ⋅ = ⋅ ⋅ = ⋅

=

⋅ =

______________________________________________________________________
2.4

Dane:

Szukane:

Wzory:

4

2

10000

10

0, 0932

/

Al

m

T

I

A

A

k

mg C

=

=

=

=

t

=


m

k I t

= ⋅ ⋅


9

9

5

4

2

2 10

2 10

21, 459 10

596

10 0, 0932

m

T

mg

m

k I t

m

t

s

h

I k

=

= ⋅

= ⋅ ⋅

=

=

=

=

______________________________________________________________________
2.5

Dane:

Szukane:

Wzory:

2

3

3

3

1

0, 2

0, 2 10

30

0, 3294

/

8, 9 10

/

Al

Cu

S

m

h

mm

m

I

A

k

mg C

kg m

δ

=

=

=

=

=

=

t

=


m

k I t

= ⋅ ⋅



3

3

3

3

3

6

6

6

1 0, 2 10

0, 2 10

0, 2 10

8, 9 10

1, 78

1, 78 10

1, 78 10

0,1801 10

50

30 0, 3294

Cu

V

m

m

V

kg

mg

m

k I t

m

t

s

h

I k

δ

= ⋅

=

= ⋅

=

=

=

= ⋅ ⋅

=

=

=

=

______________________________________________________________________
2.6

Dane:

Szukane:

Wzory:

t

=

m

k I t

= ⋅ ⋅

background image

3

3

0, 5

0,1

10

50

0, 3294

/

8, 9 10

/

90%

Al

Cu

V

m

m

mm

I

A

k

mg C

kg m

δ

η

=

=

=

=

=




3

3

3

3

6

0, 5

0,1

10

0, 5

0,1

0, 01

0,5 0,1 0, 01

0,5 10

0, 5 10

8,9 10

4, 45

4, 45 10

Cu

V

m

m

mm

m

m

m

m

m

V

kg

mg

δ

=

=

=

=

= ⋅

=

=

=

tylko część dostarczonej energii jest użytkowa

90% 50

45

o

o

I

I

I

I

A

η

η

=

= ⋅ =

=

6

6

4, 45 10

0, 3002 10

83, 4

45 0, 3294

o

o

m

k I

t

m

t

s

h

I

k

= ⋅ ⋅

=

=

=

=


______________________________________________________________________
2.7

Dane:

Szukane:

Wzory:

2

2

3

3

0, 4

3

20

/

3

1,118

/

10, 5 10

/

p

Ag

Ag

S

dm

n

J

A m

t

h

k

mg C

kg m

δ

=

=

=

=

=

=

h

=


m

k I t

= ⋅ ⋅



2

2

2

2

2

3

3

6

3

3

6

4

2

3 0, 4

1, 20

1, 2 10

20 1, 2 10

0, 24

3

3 3600 10800

1,118 0, 24 10800

2897

2,897 10

2,897 10

0, 276 10

10, 5 10

0, 276 10

0, 23 10

0, 023

1, 2 10

p

Ag

Ag

S

n S

dm

dm

m

I

J S

A

t

h

s

m

k

I t

mg

kg

m

V

m

V

h

m

m

S

δ

= ⋅

= ⋅

=

=

= ⋅ =

=

=

= ⋅

=

=

⋅ ⋅ =

=

=

=

=

=

= =

=

=

m

6

6

4, 45 10

0, 3002 10

83, 4

45 0, 3294

o

o

m

k I

t

m

t

s

h

I

k

= ⋅ ⋅

=

=

=

=


background image

______________________________________________________________________
2.8

Dane:

Szukane:

Wzory:

3

3

5

0, 02

0, 4

1,118

/

10, 5 10

/

Ag

Ag

D

cm

b

mm

I

A

k

mg C

kg m

δ

=

=
=

=

=

t

=


m

k I t

= ⋅ ⋅

m

V

δ

= ⋅


( )

(

)

(

)

2

5

3

3

3

2

5 3

2

2

1

3

5

5 3

2

6

6

6

5

2, 5

2, 5 10

2

2

0, 02

2 10

4

4

4

(

)

3,14 [(2, 5 10

2 10 )

2, 5 10

]

3

3

3

4,187 [(2500 10

2 10 )

2, 5 10

]

4,187 (15, 6625 10

15, 625 10 )

4,187 0, 0375 10

0,157

D

r

cm

m

b

mm

m

V

V

V

r

b

r

V

V

π

π

=

= =

=

=

= ⋅

= − =

⋅ +

= ⋅

+ ⋅

=

+ ⋅

=

=

=

6

3

6

3

3

3

3

10

0,157 10

10, 5 10

1, 648 10

1, 648 10

1, 648 10

3686

61 min

1,118 0, 4

Ag

Ag

m

m

V

kg

mg

m

t

s

k

I

δ

= ⋅

=

=

=

=

=

=



______________________________________________________________________
2.9

Dane:

Szukane:

Wzory:

1

0, 01045

/

0,3674

/

H

Cl

m

g

k

mg C

k

mg C

=

=

=

Cl

m

=


m

k I t

= ⋅ ⋅



1

0, 3674

35,15

0, 01045

H

H

H

H

Cl

Cl

Cl

Cl

Cl

H

H

Cl

H

Cl

Cl

H

m

k

I t

m

I t

k

m

k

I t

m

I t

k

m

m

k

k

m

m

k

g

k

=

⋅ ⋅

⋅ =

=

⋅ ⋅

⋅ =

=

=

=

=

background image



______________________________________________________________________
2.10

Dane:

Szukane:

Wzory:

180

1,118

/

0,3294

/

Ag

Ag

Cu

m

mg

k

mg C

k

mg C

=

=

=

Cu

m

=


m

k I t

= ⋅ ⋅



180

0, 3294

53, 03

1,118

Ag

Ag

Ag

Ag

Cu

Cu

Cu

Cu

Ag

Cu

Ag

Cu

Ag

Cu

Cu

Ag

m

k

I t

m

I

k

t

m

k

I t

m

I

k

t

m

m

k

t

k

t

m

m

k

mg

k

=

⋅ ⋅

=

=

⋅ ⋅

=

=

=

=

=



______________________________________________________________________
2.11

Dane:

Szukane:

Wzory:

1, 008

1008

0, 01045

/

H

H

m

g

mg

k

mg C

=

=

=

Q

=

m

k I t

= ⋅ ⋅

Q

I t

= ⋅

1008

96450

0, 01045

H

H

H

H

H

H

Q

I t

m

k

I t

m

k

Q

m

Q

C

k

= ⋅

=

⋅ ⋅

=

=

=

=



______________________________________________________________________
2.12

Dane:

Szukane:

Wzory:

m

k I t

= ⋅ ⋅

background image

3

300

0, 01045

/

0, 08987

/

H

H

I

A

k

mg C

g dm

δ

=

=

=

3

g

h

m

h

=

=

m

V

δ

= ⋅


3

3

0, 01045[

] 300[ ]

0, 01045

300[ ]

0, 01045

300

3,135 10

3600

11, 3

0, 01045

300[ ]

0, 01045

0, 08987

H

H

H

H

H

H

H

H

m

k

I t

mg

mg

A

A

t

t

C

A s

m

mg

g

g

t

s

h

h

k

I t

m

mg

mg

A

k

I

V

C

A s

g

t

t

t

dm

δ

δ

δ

⋅ ⋅

=

=

=

 

 

=

=

=

 

 

 

 

⋅ ⋅

=

=

=

=

=

3

3

3

3

3

3

3

3

3

300[ ]

0, 08987 10

3,135 10

0, 03488 10

0, 03488 10

3600

89,87

0,126

A

g

m

g

V

m

m

s

g

t

s

h

m

V

m

t

h



 

 

 

=

=

=

=



_____________________________________________________________________
2.13

Dane:

Szukane:

Wzory:

6

2

2

2

3

3

9

3

12

12 10

1,8

/

1,8 10

/

95%

0, 304

/

8,8 10

/

8,8 10

/

Ni

Ni

h

m

m

J

A dm

A m

k

mg C

kg m

mg m

µ

η

δ

=

= ⋅

=

=

=

=

=

=

t

=


m

k I t

= ⋅ ⋅

m

V

δ

= ⋅

I

J

S

=


ilość prądu dostarczonego

I

J

S

I

J S

=

= ⋅

z różnych powodów tylko część

o

I

prądu płynącego jest użytkowa i w czasie elektrolizy

nanosi Nikiel

o

I

I

η

=

background image

6

9

3

2

2

12 10

8,8 10

105, 6 10

2030, 3

0, 564

0, 304 0, 95 1,8 10

0, 5201 10

Ni

o

Ni

Ni

Ni

Ni

V

S h

m

V

m

V

S h

S h

h

t

k

I

k

I

k

I

k

J S

k

J

t

s

h

δ

δ

δ

δ

δ

η

η

η

η

= ⋅

= ⋅

⋅ ⋅

⋅ ⋅

=

=

=

=

=

⋅ ⋅

⋅ ⋅

⋅ ⋅ ⋅

⋅ ⋅

=

=

=

=

______________________________________________________________________
2.14

Dane:

Szukane:

Wzory:

4

2

2

3

3

9

3

0,1

1 10

5000

/

10 min

600

6 10

88, 6%

7, 7 10

/

7, 7 10

/

Fe

b

mm

m

J

A m

t

s

s

kg m

mg m

η

δ

=

= ⋅

=

=

=

= ⋅

=

=

=

Fe

k

=


m

k I t

= ⋅ ⋅

m

V

δ

= ⋅

I

J

S

=


ilość prądu dostarczonego

I

J

S

I

J S

=

= ⋅

z różnych powodów tylko część

o

I prądu płynącego jest użytkowa i w czasie

elektrolitycznego polerowania działa na stal.

o

I

I

η

=

4

9

5

2

3

5

1 10

7, 7 10

7, 7 10

0, 2897

/

6 10 0,886 5 10

26, 58 10

Fe

o

Fe

V

S h

m

V

m

V

S b

S b

b

k

t I

t

I

t

I

t

J S

t

J

k

mg C

δ

δ

δ

δ

δ

η

η

η

η

= ⋅

= ⋅

⋅ ⋅

⋅ ⋅

=

=

=

=

=

⋅ ⋅

⋅ ⋅

⋅ ⋅ ⋅

⋅ ⋅

=

=

=

⋅ ⋅

______________________________________________________________________
2.15

Dane:

Szukane:

Wzory:

6

2

1, 2

1, 2 10

8

8 3600

288 10

0, 304

/

Ni

m

kg

mg

t

h

s

s

k

mg C

=

=

=

= ⋅

=

=

I

=


m

k I t

= ⋅ ⋅

m

V

δ

= ⋅

I

J

S

=

background image

6

6

2

2

1, 2 10

1, 2 10

137

288 10

0, 304

87, 55 10

Ni

m

I

t k

I

A

=

=

=

=

_____________________________________________________________________
2.16

Dane:

Szukane:

Wzory:

6

2

3

3

0,1

/

60

0, 6

0, 002

2 10

8

8 3600

288 10

0, 6149

/

8,8 10

/

90%

Sn

Sn

v

m s

a

cm

m

h

mm

m

t

h

s

s

k

mg C

kg m

δ

η

=

=

=

=

= ⋅

=

= ⋅

=

=

=

=

m

I

=

=


m

k I t

= ⋅ ⋅

m

V

δ

= ⋅

I

J

S

=

3

2

6

6

2

2

2

2

8,8 10 2 0,1 288 10 0, 6 2 10

60,8

60,8 10

s

v t

S

s a

ponieważ cynuje się dwie strony

S

v t a

V

S h

v t a h

m

V

v t a h

kg

mg

δ

δ

= ⋅

= ⋅ ⋅
= ⋅ ⋅ ⋅

= ⋅ = ⋅ ⋅ ⋅ ⋅

= ⋅ = ⋅ ⋅ ⋅ ⋅ ⋅ =

⋅ ⋅

⋅ ⋅

=

=

Z ilość prądu dostarczonego z różnych powodów tylko część

o

I

prądu płynącego jest

użytkowa i powoduje nakładanie cyny

o

I

I

η

=

6

2

60,8 10

3815

0, 9 288 10 0, 6149

o

o

Sn

Sn

Sn

I

I

m

I

t k

m

I

t k

m

I

t k

I

A

η

η

η

= ⋅

=

⋅ =

=

⋅ ⋅

=

=

______________________________________________________________________


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