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  • Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form
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Questions Question 1 Animation: Applying Th´ evenin’s theorem This question consists of a series of images (one per page) that form an animation. Flip the pages with your fingers to view this animation (or click on the ”next” button on your viewer) frame-by-frame. The following animation shows the steps involved in ”Th´ evenizing” a circuit. 1

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Page 1: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Questions

Question 1

Animation: Applying Thevenin’s theorem

This question consists of a series of images (one per page) that form an animation. Flip the pages withyour fingers to view this animation (or click on the ”next” button on your viewer) frame-by-frame.

The following animation shows the steps involved in ”Thevenizing” a circuit.

1

Page 2: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

RloadR1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

2

Page 3: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

RloadR1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

This is our original circuit:

3

Page 4: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

RloadR1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

We may use Thevenin’s theoremto simplify this portion of the circuit . . .

4

Page 5: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

We may use Thevenin’s theoremto simplify this portion of the circuit . . .

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

5

Page 6: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

We may use Thevenin’s theoremto simplify this portion of the circuit . . .

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

6

Page 7: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

We may use Thevenin’s theoremto simplify this portion of the circuit . . .

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

7

Page 8: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

RloadR1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

8

Page 9: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

RloadR1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

To this Thevenin equivalent circuit . . .

9

Page 10: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

RloadR1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

To this Thevenin equivalent circuit . . .

VTH

RTH

10

Page 11: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

RloadR1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

. . . to which we may attachthe same load and analyze.

11

Page 12: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

RloadR1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

. . . to which we may attachthe same load and analyze.

Rload

12

Page 13: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

RloadR1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

. . . to which we may attachthe same load and analyze.

Rload

13

Page 14: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

RloadR1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

. . . to which we may attachthe same load and analyze.

Rload

14

Page 15: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

RloadR1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

. . . to which we may attachthe same load and analyze.

Rload

15

Page 16: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

RloadR1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

Rload

16

Page 17: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

RloadR1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

Rload

the load resistor.First we disconnect

17

Page 18: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

RloadR1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

the load resistor.First we disconnect

18

Page 19: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

the load resistor.First we disconnect

19

Page 20: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

the load resistor.First we disconnect

20

Page 21: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

21

Page 22: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

Then we calculate howmuch voltage appearsacross the open load

terminals.

22

Page 23: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

Then we calculate howmuch voltage appearsacross the open load

terminals.+

V-

23

Page 24: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

Then we calculate howmuch voltage appearsacross the open load

terminals.+

V-

24

Page 25: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

Then we calculate howmuch voltage appearsacross the open load

terminals.+

V- (18 volts)

10 kΩ

(14 kΩ + 12 kΩ + 10 kΩ)

25

Page 26: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

Then we calculate howmuch voltage appearsacross the open load

terminals.+

V- (18 volts)

10 kΩ

(14 kΩ + 12 kΩ + 10 kΩ)

= 5 volts

26

Page 27: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

+V

-5 V

27

Page 28: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

VTH

RTH

+V

-5 V

This voltage becomesour Thevenin sourcevoltage . . .

28

Page 29: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

RTH

+V

-5 V

This voltage becomesour Thevenin sourcevoltage . . .

5 V

29

Page 30: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

RTH

+V

-5 V

This voltage becomesour Thevenin sourcevoltage . . .

5 V. . . in the Thevenin equivalent circuit.

30

Page 31: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

RTH

5 V

31

Page 32: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

RTH

5 V

Now we replace each sourcein the original circuit with itsown internal resistance.

32

Page 33: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

RTH

5 V

Now we replace each sourcein the original circuit with itsown internal resistance.

For voltage sources, thismeans a short-circuit.

33

Page 34: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

RTH

5 V

Now we replace each sourcein the original circuit with itsown internal resistance.

For voltage sources, thismeans a short-circuit.

34

Page 35: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3

18 V

10 kΩ

12 kΩ

14 kΩ

RTH

5 V

Now we replace each sourcein the original circuit with itsown internal resistance.

For voltage sources, thismeans a short-circuit.

35

Page 36: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

RTH

5 V

Now we replace each sourcein the original circuit with itsown internal resistance.

For voltage sources, thismeans a short-circuit.

36

Page 37: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

RTH

5 V

37

Page 38: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

RTH

5 V

resistance across the openload terminals.

. . . and we calculate

38

Page 39: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

RTH

5 V

resistance across the openload terminals.Ω

. . . and we calculate

39

Page 40: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

RTH

5 V

resistance across the openload terminals.Ω

. . . and we calculate

40

Page 41: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

RTH

5 V

resistance across the openload terminals.Ω

. . . and we calculate

(14 kΩ + 12 kΩ) // 10 kΩ

41

Page 42: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

RTH

5 V

resistance across the openload terminals.Ω

. . . and we calculate

(14 kΩ + 12 kΩ) // 10 kΩ= 7.22 kΩ

42

Page 43: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

RTH

5 V

Ω 7.22 kΩ

43

Page 44: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

RTH

5 V

Ω 7.22 kΩ

This resistance becomesour Thevenin source

resistance . . .

44

Page 45: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

Ω 7.22 kΩ

This resistance becomesour Thevenin source

resistance . . .

7.22 kΩ

45

Page 46: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

Ω 7.22 kΩ

This resistance becomesour Thevenin source

resistance . . .

7.22 kΩ

. . . in the Thevenin equivalent circuit.

46

Page 47: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ

18 V

47

Page 48: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ

Now that we have an equivalent circuit to

work with, we may insertthe load there to see what

happens!

18 V

48

Page 49: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ

Now that we have an equivalent circuit to

work with, we may insertthe load there to see what

happens!

18 V

49

Page 50: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ

Now that we have an equivalent circuit to

work with, we may insertthe load there to see what

happens!

18 V

50

Page 51: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ

Now that we have an equivalent circuit to

work with, we may insertthe load there to see what

happens!

18 V

51

Page 52: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ

Now that we have an equivalent circuit to

work with, we may insertthe load there to see what

happens!

18 V

52

Page 53: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ

Now that we have an equivalent circuit to

work with, we may insertthe load there to see what

happens!

Calculate:

18 V

53

Page 54: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ

Now that we have an equivalent circuit to

work with, we may insertthe load there to see what

happens!

Calculate:

Vload

18 V

54

Page 55: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ

Now that we have an equivalent circuit to

work with, we may insertthe load there to see what

happens!

Calculate:

Vload

Iload

18 V

55

Page 56: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ

Now that we have an equivalent circuit to

work with, we may insertthe load there to see what

happens!

Calculate:

Vload

Iload

Pload

18 V

56

Page 57: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ

Calculate:

Vload

Iload

Pload

18 V

57

Page 58: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ

Calculate:

Vload

Iload

Pload

18 VThese load calculations willreflect what happens in theoriginal circuit!

58

Page 59: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ

Calculate:

Vload

Iload

Pload

18 VThese load calculations willreflect what happens in theoriginal circuit!

Rload

59

Page 60: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ

Calculate:

Vload

Iload

Pload

18 VThese load calculations willreflect what happens in theoriginal circuit!

RloadVload

(same)

60

Page 61: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ

Calculate:

Vload

Iload

Pload

18 VThese load calculations willreflect what happens in theoriginal circuit!

RloadVload

(same)

Iload

61

Page 62: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ

Calculate:

Vload

Iload

Pload

18 VThese load calculations willreflect what happens in theoriginal circuit!

RloadVload

(same)

Iload

Pload

62

Page 63: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ

Calculate:

Vload

Iload

Pload

18 VThese load calculations willreflect what happens in theoriginal circuit!

RloadVload

Iload

Pload

63

Page 64: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ Vload

Iload

Pload

18 V

Rload

Vload

Iload

Pload

64

Page 65: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ Vload

Iload

Pload

18 V

Rload

Vload

Iload

Pload

65

Page 66: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Rload

R1

R2

R3 10 kΩ

12 kΩ

14 kΩ

5 V

7.22 kΩ Vload

Iload

Pload

18 V

Rload

Vload

Iload

Pload

The load cannot ‘‘tell’’any difference between the

Thevenin equivalent circuit.original circuit and the

file 03261

66

Page 67: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Answers

Answer 1

Nothing to note here.

67

Page 68: Questions Question 1 Animation: Applying …...Questions Question 1 Animation: Applying Th´evenin’s theorem This question consists of a series of images (one per page) that form

Notes

Notes 1

The purpose of this animation is to let students see how Thevenin’s theorem may be applied to the

simplification of a resistor network.

68


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