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Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.1 If the current in an electric conductor is 2.4 A, how many c oulombs of charge pass any point in a 30-second interval?

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.1

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.2 Determine the time interval required for a 12-A battery charger to deliver 4800 C.

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.2

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.3 A lightning bolt carrying 30,000 A lasts for 50 micro-seconds. If the lightning strikes an airplane flying at 20,000

feet, what is the charge deposited on the plane?

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.3

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.4 If a 12-V battery delivers 100 J in 5 s, find (a) the amount of charge delivered and (b) the current produced.

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.4

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.5 The current in a conductor is 1.5 A. How many coulombs of charge pass any point in a time interval of 1.5 minutes?

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.5

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.6 If 60 C of charge pass through an electric conductor in 30 seconds, determine the current in the conductor.

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.6

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.7 Determine the number of coulombs of charge produced by a 12-A battery charger in an hour.

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.7

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.8 Five coulombs of charge pass through the element in Fig. P1.8 from point A to point B. If the energy absorbed by

the element is 120 J, determine the voltage across the element. B + V1

− A Figure P1.8

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.8

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.9 T he current that enters an element is shown in Fig. P1.9. Find the charge that enters the element in the time

interval 0 < t < 20 s. i(t) mA 10

0

10

20

t (s)

Figure P1.9

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.9

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.10 T he charge entering the positive terminal of an element is q(t) = −30e− 4tmC. If the voltage across the element

is 120e−2 tV, determine the energy delivered to the element in the time interval 0 < t < 50 ms.

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.10

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.11 T he charge entering the positive terminal of an element is given by the expression q(t) = −12e−2tmC. The

power delivered to the element is p(t) = 2.4e− 3tW. Compute the current in the element, the voltage across the element, and the energy delivered to the element in the time interval 0 < t < 100 ms.

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.11

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.12 T he voltage across an element is 12e− 2tV. The current entering the positive terminal of the element is 2e− 2tA.

Find the energy absorbed by the element in 1.5 s starting from t = 0.

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.12

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.13 T he power absorbed by the BOX in Fig. P1.13 is 2e− 2tW. Calculate the amount of charge that enters the BOX

between 0.1 and 0.4 seconds.

4e−t V

+ −

BOX

Figure P1.13

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.13

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.14 T he power absorbed by the BOX in Fig. P1.14 is 0.1e− 4tW. Calculate the energy absorbed by the BOX during

this same time interval.

10e−2t V

+ −

BOX

Figure P1.14

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.14

Irwin, Basic Engineering Circuit Analysis, 11/E

1

i (t) + −

15 V

BOX

1.15 T he energy absorbed by the BOX in Fig. P1.15 is shown below. How much charge enters the BOX between

0 and 10 milliseconds? i (t)

w(t) (mJ) 15

15 V

+ −

BOX 10 5

w(t) (mJ) 15

1

2

3

4

5

6

7

8

9

10

t (ms)

−5

10

−10

5 −15

1

2

3 Figure 4 P1.15 5

6

7

8

9

10

t (ms)

−5 −10

SOLUTION:

−15

Chapter 01: Basic Concepts

Problem 1.15

2

Problem 1.15

Irwin, Basic Engineering Circuit Analysis, 11/E

Chapter 01: Basic Concepts

Irwin, Basic Engineering Circuit Analysis, 11/E

1 i (t) +

12 V

BOX

− Calculate and sketch 1.16 T he charge that enters the BOX in Fig. P1.16 is shown in the graph below.

the current flowing into and the power absorbed by the BOX between 0 and 10 milliseconds. i (t)

q(t) (mC)

+ −

12 V

3

BOX

2 1

q(t) (mC)

5

3

1

2

3

4

6

7

8

9

10

t (ms)

−1

2

−2

1 5 1

2

3

4

−3

6

7

8

9

10

t (ms)

−1 −2

Figure P1.16

−3

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.16

2

Problem 1.16

Irwin, Basic Engineering Circuit Analysis, 11/E

Chapter 01: Basic Concepts

Irwin, Basic Engineering Circuit Analysis, 11/E

Chapter 01: Basic Concepts

3

Problem 1.16

Irwin, Basic Engineering Circuit Analysis, 11/E

1 i (t)

1.17 T he energy absorbed by the BOX in Fig. P1.17 is given below. Calculate and sketch the current flowing into BOX 10 V0 + the BOX. Also calculate the charge which enters the BOX between and 12 seconds. −

i (t)

10 V

w(t) (J)

+ −

BOX

5

6 1

w(t) (J)

2

3

4

5

7

8

10 9

12 11

t (s)

−2.5

5

Figure P1.17

6 1

2

3

4

7

5

8

10 9

12 11

t (s)

−2.5

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.17

2

Problem 1.17

Irwin, Basic Engineering Circuit Analysis, 11/E

Chapter 01: Basic Concepts

Irwin, Basic Engineering Circuit Analysis, 11/E

1

i (t)

12 V

+

BOX

− 1.18 T he charge entering the upper terminal of the BOX in Fig. P1.18 is shown below. How much energy is absorbed

by the BOX between 0 and 9 seconds? q(t) (C)

i (t) 1

12 V

+ −

BOX 0.5

1

q(t) (C)

2

3

4

5

6

7

8

9

t (s)

−0.5

1

−1 −1.5

0.5

1

2

Figure P1.18 3 4 5

6

7

8

9

t (s)

−0.5 −1 −1.5

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.18

2

Problem 1.18

Irwin, Basic Engineering Circuit Analysis, 11/E

Chapter 01: Basic Concepts

Irwin, Basic Engineering Circuit Analysis, 11/E

1 i (t)

1.19 T he energy absorbed by the BOX in Fig. P1.19 is shown in the graph below. Calculate and sketch the current + BOX 12 V

flowing into the BOX between 0 and 10 milliseconds. i (t)

−

w(t) (mJ) 30

12 V

+ −

BOX

20 10 5

w(t) (mJ) 1

30

2

3

4

6

7 8

9

10

t (ms)

−10

20

−20

10

−30

5 1

2

6

3 4 Figure P1.19

7 8

9

10

t (ms)

−10 −20 −30

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.19

2

Problem 1.19

Irwin, Basic Engineering Circuit Analysis, 11/E

Chapter 01: Basic Concepts

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.20 D etermine the amount of power absorbed or supplied by the element in Fig. P1.20 if (a) V1 = 9 V and I = 2A (b) V1 = 9 V and I = −3A (c) V1 = −12 V and I = 2A (d) V1 = −12 V and I = −3A

+

I

V1

−

Figure P1.20

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.20

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.21 C alculate the power absorbed by element A in Fig. P1.21. 3A − 15 V

A +

Figure P1.21

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.21

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.22 C alculate the power supplied by element A in Fig. P1.22. 2A + 20 V

A −

Figure P1.22

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.22

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.23 E lement A in the diagram in Fig. P1.23 absorbs 30 W of power. Calculate V x . 2A + Vx

A −

Figure P1.23

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.23

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.24 E lement B in the diagram in Fig. P1.24 supplies 60 W of power. Calculate I x .

− 24 V

B +

Ix

Figure P1.24

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.24

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.25 E lement B in the diagram in Fig. P1.25 supplies 72 W of power. Calculate V A . 3A + VA B –

Figure P1.25

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.25

Irwin, Basic Engineering Circuit Analysis, 11/E

1.26 E lement B in the diagram in Fig. P1.26 supplies 72 W of power. Calculate

1

Ix.

+ 18 V B −

Ix

Figure P1.26

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.26

Irwin, Basic Engineering Circuit Analysis, 11/E

1

P1 = 36 W. Is element 2 absorbing or supplying power, and how much? (b) In Fig. P1.27 (b), P2 = −48 W. Is element 1 absorbing or supplying power, and how much? 1.27 (a) In Fig. P1.27 (a),

1 2

+ 12 V − + 6V −

(a)

1 2

− 6V + + 24 V −

(b)

Figure P1.27

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.27

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.28 T wo elements are connected in series, as shown in Fig. P1.28. Element 1 supplies 24 W of power. Is element 2

absorbing or supplying power, and how much?

1

2

+ 3V − − 6V +

Figure P1.28

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.28

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.29 E lement 2 in Fig. P1.29 absorbed 32 W. Find the power absorbed or supplied by elements 1 and 3. − 4V + + 2 8V − + 3 12 V − 1

Figure P1.29

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.29

Irwin, Basic Engineering Circuit Analysis, 11/E

1.30 C hoose

Is such that the power absorbed by element 2 in Fig. P1.30 is 7 W. +

4V 1

−

− +

+ 6V

1

Is

2 2V −

Figure P1.30

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.30

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.31 F ind the power that is absorbed or supplied by the circuit elements in Fig. P1.31. +

6V 1

+ 20 V

Ix = 4 A

− 2A

+ −

2A −

+

8V 1

+ 14 V

16 V

+ −

4A −

+

6V 1

+

V

+ −

2A −

(a)

Ix = 4 A

− 2A

+

8V 1

(b) −

+ 14 V

16 V

+ −

4A −

2Ix 4A

2A (a)

2Ix 4A

2A

−

(b)

Figure P1.31

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.31

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.32 F ind the power that is absorbed or supplied by the network elements in Fig. P1.32. Ix = 2 A +

8V 1

−2A

+ −

+ −

12 V

2Ix 2A

(a) 24 V −+ 2A + −

+ 2A

20 V 1

− Ix = 2 A +

4Ix

2

12 V −

2A

(b)

Figure P1.32

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.32

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.33 Compute the power that is absorbed or supplied by the e lements in the network in Fig. P1.33. Ix = 4 A +

12 V

1Ix

−

−+

1 2A

36 V

+ −

2

+ 24 V −

2A + 3 28 V −

Figure P1.33

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.33

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.34 Find the power that is absorbed or supplied by element 2 in Fig. P1.34. 2A +

4V 1

2Vx

−

−+ +

12 V + −

2 −

Vx

2A

Figure P1.34

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.34

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.35 Find I x in the network in Fig. P1.35. 1Ix

Ix + 12 V − 1 2A 36 V

+ −

−+ + 2

24 V −

2A

+ 3

28 V −

Figure P1.35

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.35

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.36 Determine the power absorbed by element 1 in Fig. P1.36. Ix +

12 V 1

−

+

+ 36 V

+ −

24 V −

2Ix

8V 2

− 2A + 3 16 V −

Figure P1.36

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.36

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.37 Find the power absorbed or supplied by element 1 in Fig. P1.37. − Ix

6V 1

18 V + −

+

+

4V 2

−

2A 24 V

+ −

Ix

2Ix

+ 20 V −

Figure P1.37

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.37

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.38 Find the power absorbed or supplied by element 3 in Fig. P1.38. +

4V 1

12 V

−

−+

4A

2A

+ 2

16 V −

+ −

12 V

+ −

4

2Vx + 3

2A

2A

−

Vx

+ 20 V − 2A

Figure P1.38

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.38

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.39 Find the power absorbed or supplied by element 1 in Fig. P1.39. +

4V 1

12 V

−

−+

+ 4Ix

+ 12 V

−

2

8V − 4A

4A

+ 3

20 V − 2A

+ 4 Ix

20 V −

Figure P1.39

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.39

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.40 F ind Vx in the network in Fig. P1.40 using Tellegen’s theorem. 2A + 9V

+ 1 12 V

−

−+

2

24 V

+ V − x

− +

16 V

−

3 − +

12 V

Figure P1.40

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.40

Irwin, Basic Engineering Circuit Analysis, 11/E

Ix in the circuit in Fig. P1.41 using Tellegen’s theorem.

2A +

4V

−

+

8V

−

+

18 V

2A + −

24 V

+ 12 V −

12 V

− Ix

2A

+−

1.41 Find

1

Ix

+ 6V −

Figure P1.41

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.41

Irwin, Basic Engineering Circuit Analysis, 11/E

1.42 Is the source +

Vs in the network in Fig. P1.42 absorbing or supplying power, and how much? 6V

3A

VS

−

−+

9A

6A −

−

− 10 V +

1

9A 3A

16 V +

8V +

Figure P1.42

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.42

Irwin, Basic Engineering Circuit Analysis, 11/E

1.43 F ind

Io in the network in Fig. P1.43 using Tellegen’s theorem. 6A+

24 V

4Ix

8V 1

− 4A +

+ −

2 −

6V 3

10 V −

Io

8V 6

4 16 V −

+ 6V

5 −

Ix=2 A +

+

+ −

3A

1

− +

1A

3A

Figure P1.43

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.43

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.44 C alculate the power absorbed by each element in the circuit in Fig. P1.44. Also, verify that Tellegen’s theorem is

satisfied by this circuit. 3Ix

+

−+

24 V 5

− 2A

2A +

24 V

12 V 1

+ −

−

+

2A + 12 V

4A

4A 6A

−

6V 2

− + 6V 3 −

−

9V 4

+ 4A

15 V

+ −

Ix = 2 A

Figure P1.44

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.44

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.45 C alculate the power absorbed by each element in the circuit in Fig. P1.45. Also, verify that Tellegen’s theorem is

satisfied by this circuit. +

4A

+ 1A 40 V

2

3

−

+ −

−

+

1

5V 4

− 3A

4A

30 V −

+

+ −

15 V

+ 5A

− 5V

5V

10 V

1A

+ 5

10 V −

Figure P1.45

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.45

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.46 In the circuit in Fig. P1.46, element 1 absorbs 40 W, element 2 supplies 50 W, element 3 supplies 25 W, and

element 4 absorbs 15 W. How much power is supplied by element 5? 1

3

2

4

5

Figure P1.46

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.46

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1

1.1 If the current in an electric conductor is 2.4 A, how many c oulombs of charge pass any point in a 30-second interval?

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.1

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.2 Determine the time interval required for a 12-A battery charger to deliver 4800 C.

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.2

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.3 A lightning bolt carrying 30,000 A lasts for 50 micro-seconds. If the lightning strikes an airplane flying at 20,000

feet, what is the charge deposited on the plane?

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.3

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.4 If a 12-V battery delivers 100 J in 5 s, find (a) the amount of charge delivered and (b) the current produced.

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.4

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.5 The current in a conductor is 1.5 A. How many coulombs of charge pass any point in a time interval of 1.5 minutes?

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.5

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.6 If 60 C of charge pass through an electric conductor in 30 seconds, determine the current in the conductor.

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.6

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.7 Determine the number of coulombs of charge produced by a 12-A battery charger in an hour.

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.7

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.8 Five coulombs of charge pass through the element in Fig. P1.8 from point A to point B. If the energy absorbed by

the element is 120 J, determine the voltage across the element. B + V1

− A Figure P1.8

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.8

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.9 T he current that enters an element is shown in Fig. P1.9. Find the charge that enters the element in the time

interval 0 < t < 20 s. i(t) mA 10

0

10

20

t (s)

Figure P1.9

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.9

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.10 T he charge entering the positive terminal of an element is q(t) = −30e− 4tmC. If the voltage across the element

is 120e−2 tV, determine the energy delivered to the element in the time interval 0 < t < 50 ms.

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.10

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.11 T he charge entering the positive terminal of an element is given by the expression q(t) = −12e−2tmC. The

power delivered to the element is p(t) = 2.4e− 3tW. Compute the current in the element, the voltage across the element, and the energy delivered to the element in the time interval 0 < t < 100 ms.

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.11

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.12 T he voltage across an element is 12e− 2tV. The current entering the positive terminal of the element is 2e− 2tA.

Find the energy absorbed by the element in 1.5 s starting from t = 0.

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.12

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.13 T he power absorbed by the BOX in Fig. P1.13 is 2e− 2tW. Calculate the amount of charge that enters the BOX

between 0.1 and 0.4 seconds.

4e−t V

+ −

BOX

Figure P1.13

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.13

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.14 T he power absorbed by the BOX in Fig. P1.14 is 0.1e− 4tW. Calculate the energy absorbed by the BOX during

this same time interval.

10e−2t V

+ −

BOX

Figure P1.14

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.14

Irwin, Basic Engineering Circuit Analysis, 11/E

1

i (t) + −

15 V

BOX

1.15 T he energy absorbed by the BOX in Fig. P1.15 is shown below. How much charge enters the BOX between

0 and 10 milliseconds? i (t)

w(t) (mJ) 15

15 V

+ −

BOX 10 5

w(t) (mJ) 15

1

2

3

4

5

6

7

8

9

10

t (ms)

−5

10

−10

5 −15

1

2

3 Figure 4 P1.15 5

6

7

8

9

10

t (ms)

−5 −10

SOLUTION:

−15

Chapter 01: Basic Concepts

Problem 1.15

2

Problem 1.15

Irwin, Basic Engineering Circuit Analysis, 11/E

Chapter 01: Basic Concepts

Irwin, Basic Engineering Circuit Analysis, 11/E

1 i (t) +

12 V

BOX

− Calculate and sketch 1.16 T he charge that enters the BOX in Fig. P1.16 is shown in the graph below.

the current flowing into and the power absorbed by the BOX between 0 and 10 milliseconds. i (t)

q(t) (mC)

+ −

12 V

3

BOX

2 1

q(t) (mC)

5

3

1

2

3

4

6

7

8

9

10

t (ms)

−1

2

−2

1 5 1

2

3

4

−3

6

7

8

9

10

t (ms)

−1 −2

Figure P1.16

−3

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.16

2

Problem 1.16

Irwin, Basic Engineering Circuit Analysis, 11/E

Chapter 01: Basic Concepts

Irwin, Basic Engineering Circuit Analysis, 11/E

Chapter 01: Basic Concepts

3

Problem 1.16

Irwin, Basic Engineering Circuit Analysis, 11/E

1 i (t)

1.17 T he energy absorbed by the BOX in Fig. P1.17 is given below. Calculate and sketch the current flowing into BOX 10 V0 + the BOX. Also calculate the charge which enters the BOX between and 12 seconds. −

i (t)

10 V

w(t) (J)

+ −

BOX

5

6 1

w(t) (J)

2

3

4

5

7

8

10 9

12 11

t (s)

−2.5

5

Figure P1.17

6 1

2

3

4

7

5

8

10 9

12 11

t (s)

−2.5

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.17

2

Problem 1.17

Irwin, Basic Engineering Circuit Analysis, 11/E

Chapter 01: Basic Concepts

Irwin, Basic Engineering Circuit Analysis, 11/E

1

i (t)

12 V

+

BOX

− 1.18 T he charge entering the upper terminal of the BOX in Fig. P1.18 is shown below. How much energy is absorbed

by the BOX between 0 and 9 seconds? q(t) (C)

i (t) 1

12 V

+ −

BOX 0.5

1

q(t) (C)

2

3

4

5

6

7

8

9

t (s)

−0.5

1

−1 −1.5

0.5

1

2

Figure P1.18 3 4 5

6

7

8

9

t (s)

−0.5 −1 −1.5

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.18

2

Problem 1.18

Irwin, Basic Engineering Circuit Analysis, 11/E

Chapter 01: Basic Concepts

Irwin, Basic Engineering Circuit Analysis, 11/E

1 i (t)

1.19 T he energy absorbed by the BOX in Fig. P1.19 is shown in the graph below. Calculate and sketch the current + BOX 12 V

flowing into the BOX between 0 and 10 milliseconds. i (t)

−

w(t) (mJ) 30

12 V

+ −

BOX

20 10 5

w(t) (mJ) 1

30

2

3

4

6

7 8

9

10

t (ms)

−10

20

−20

10

−30

5 1

2

6

3 4 Figure P1.19

7 8

9

10

t (ms)

−10 −20 −30

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.19

2

Problem 1.19

Irwin, Basic Engineering Circuit Analysis, 11/E

Chapter 01: Basic Concepts

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.20 D etermine the amount of power absorbed or supplied by the element in Fig. P1.20 if (a) V1 = 9 V and I = 2A (b) V1 = 9 V and I = −3A (c) V1 = −12 V and I = 2A (d) V1 = −12 V and I = −3A

+

I

V1

−

Figure P1.20

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.20

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.21 C alculate the power absorbed by element A in Fig. P1.21. 3A − 15 V

A +

Figure P1.21

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.21

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.22 C alculate the power supplied by element A in Fig. P1.22. 2A + 20 V

A −

Figure P1.22

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.22

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.23 E lement A in the diagram in Fig. P1.23 absorbs 30 W of power. Calculate V x . 2A + Vx

A −

Figure P1.23

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.23

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.24 E lement B in the diagram in Fig. P1.24 supplies 60 W of power. Calculate I x .

− 24 V

B +

Ix

Figure P1.24

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.24

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.25 E lement B in the diagram in Fig. P1.25 supplies 72 W of power. Calculate V A . 3A + VA B –

Figure P1.25

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.25

Irwin, Basic Engineering Circuit Analysis, 11/E

1.26 E lement B in the diagram in Fig. P1.26 supplies 72 W of power. Calculate

1

Ix.

+ 18 V B −

Ix

Figure P1.26

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.26

Irwin, Basic Engineering Circuit Analysis, 11/E

1

P1 = 36 W. Is element 2 absorbing or supplying power, and how much? (b) In Fig. P1.27 (b), P2 = −48 W. Is element 1 absorbing or supplying power, and how much? 1.27 (a) In Fig. P1.27 (a),

1 2

+ 12 V − + 6V −

(a)

1 2

− 6V + + 24 V −

(b)

Figure P1.27

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.27

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.28 T wo elements are connected in series, as shown in Fig. P1.28. Element 1 supplies 24 W of power. Is element 2

absorbing or supplying power, and how much?

1

2

+ 3V − − 6V +

Figure P1.28

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.28

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.29 E lement 2 in Fig. P1.29 absorbed 32 W. Find the power absorbed or supplied by elements 1 and 3. − 4V + + 2 8V − + 3 12 V − 1

Figure P1.29

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.29

Irwin, Basic Engineering Circuit Analysis, 11/E

1.30 C hoose

Is such that the power absorbed by element 2 in Fig. P1.30 is 7 W. +

4V 1

−

− +

+ 6V

1

Is

2 2V −

Figure P1.30

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.30

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.31 F ind the power that is absorbed or supplied by the circuit elements in Fig. P1.31. +

6V 1

+ 20 V

Ix = 4 A

− 2A

+ −

2A −

+

8V 1

+ 14 V

16 V

+ −

4A −

+

6V 1

+

V

+ −

2A −

(a)

Ix = 4 A

− 2A

+

8V 1

(b) −

+ 14 V

16 V

+ −

4A −

2Ix 4A

2A (a)

2Ix 4A

2A

−

(b)

Figure P1.31

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.31

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.32 F ind the power that is absorbed or supplied by the network elements in Fig. P1.32. Ix = 2 A +

8V 1

−2A

+ −

+ −

12 V

2Ix 2A

(a) 24 V −+ 2A + −

+ 2A

20 V 1

− Ix = 2 A +

4Ix

2

12 V −

2A

(b)

Figure P1.32

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.32

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.33 Compute the power that is absorbed or supplied by the e lements in the network in Fig. P1.33. Ix = 4 A +

12 V

1Ix

−

−+

1 2A

36 V

+ −

2

+ 24 V −

2A + 3 28 V −

Figure P1.33

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.33

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.34 Find the power that is absorbed or supplied by element 2 in Fig. P1.34. 2A +

4V 1

2Vx

−

−+ +

12 V + −

2 −

Vx

2A

Figure P1.34

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.34

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.35 Find I x in the network in Fig. P1.35. 1Ix

Ix + 12 V − 1 2A 36 V

+ −

−+ + 2

24 V −

2A

+ 3

28 V −

Figure P1.35

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.35

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.36 Determine the power absorbed by element 1 in Fig. P1.36. Ix +

12 V 1

−

+

+ 36 V

+ −

24 V −

2Ix

8V 2

− 2A + 3 16 V −

Figure P1.36

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.36

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.37 Find the power absorbed or supplied by element 1 in Fig. P1.37. − Ix

6V 1

18 V + −

+

+

4V 2

−

2A 24 V

+ −

Ix

2Ix

+ 20 V −

Figure P1.37

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.37

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.38 Find the power absorbed or supplied by element 3 in Fig. P1.38. +

4V 1

12 V

−

−+

4A

2A

+ 2

16 V −

+ −

12 V

+ −

4

2Vx + 3

2A

2A

−

Vx

+ 20 V − 2A

Figure P1.38

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.38

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.39 Find the power absorbed or supplied by element 1 in Fig. P1.39. +

4V 1

12 V

−

−+

+ 4Ix

+ 12 V

−

2

8V − 4A

4A

+ 3

20 V − 2A

+ 4 Ix

20 V −

Figure P1.39

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.39

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.40 F ind Vx in the network in Fig. P1.40 using Tellegen’s theorem. 2A + 9V

+ 1 12 V

−

−+

2

24 V

+ V − x

− +

16 V

−

3 − +

12 V

Figure P1.40

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.40

Irwin, Basic Engineering Circuit Analysis, 11/E

Ix in the circuit in Fig. P1.41 using Tellegen’s theorem.

2A +

4V

−

+

8V

−

+

18 V

2A + −

24 V

+ 12 V −

12 V

− Ix

2A

+−

1.41 Find

1

Ix

+ 6V −

Figure P1.41

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.41

Irwin, Basic Engineering Circuit Analysis, 11/E

1.42 Is the source +

Vs in the network in Fig. P1.42 absorbing or supplying power, and how much? 6V

3A

VS

−

−+

9A

6A −

−

− 10 V +

1

9A 3A

16 V +

8V +

Figure P1.42

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.42

Irwin, Basic Engineering Circuit Analysis, 11/E

1.43 F ind

Io in the network in Fig. P1.43 using Tellegen’s theorem. 6A+

24 V

4Ix

8V 1

− 4A +

+ −

2 −

6V 3

10 V −

Io

8V 6

4 16 V −

+ 6V

5 −

Ix=2 A +

+

+ −

3A

1

− +

1A

3A

Figure P1.43

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.43

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.44 C alculate the power absorbed by each element in the circuit in Fig. P1.44. Also, verify that Tellegen’s theorem is

satisfied by this circuit. 3Ix

+

−+

24 V 5

− 2A

2A +

24 V

12 V 1

+ −

−

+

2A + 12 V

4A

4A 6A

−

6V 2

− + 6V 3 −

−

9V 4

+ 4A

15 V

+ −

Ix = 2 A

Figure P1.44

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.44

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.45 C alculate the power absorbed by each element in the circuit in Fig. P1.45. Also, verify that Tellegen’s theorem is

satisfied by this circuit. +

4A

+ 1A 40 V

2

3

−

+ −

−

+

1

5V 4

− 3A

4A

30 V −

+

+ −

15 V

+ 5A

− 5V

5V

10 V

1A

+ 5

10 V −

Figure P1.45

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.45

Irwin, Basic Engineering Circuit Analysis, 11/E

1

1.46 In the circuit in Fig. P1.46, element 1 absorbs 40 W, element 2 supplies 50 W, element 3 supplies 25 W, and

element 4 absorbs 15 W. How much power is supplied by element 5? 1

3

2

4

5

Figure P1.46

SOLUTION:

Chapter 01: Basic Concepts

Problem 1.46

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