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SLIP TEST -1

S.SREEKANTHA REDDY

August 5, 2015

1. Determine the current I in the circuit given below.

EXERCISES 6969

7. Referring to the single node diagram of Fig. 3.49, compute:(a) iB, if iA = 1 A, iD = 2 A, iC = 3 A, and iE = 0;(b) iE, if iA = 1 A, iB = 1 A, iC = 1 A, and iD = 1 A.

iC

iBiA

iD

iE

FIGURE 3.49

+

6 A1.5 V

7 A I

I3 A

3 A

I2 A 9 A

(a) (b) (c)

1

1 5

FIGURE 3.50

+

R2 R3

R1

3 A2 V

1 Ai2

FIGURE 3.51

8. Determine the current labeled I in each of the circuits of Fig. 3.50.

9. In the circuit shown in Fig. 3.51, the resistor values are unknown, but the 2 Vsource is known to be supplying a current of 7 A to the rest of the circuit.Calculate the current labeled i2.

+

R2 R3

R1

7 A 2 V

3 Ai2

FIGURE 3.52

RA 6

5 +

+

ix

1.6 A

9 V vx

FIGURE 3.53

+

+

+ V1 V2

R1

R2 1 k

1 k150IBIB

IE

IC

FIGURE 3.54

10. The voltage source in the circuit of Fig. 3.52 has a current of 1 A flowing outof its positive terminal into resistor R1. Calculate the current labeled i2.

11. In the circuit depicted in Fig. 3.53, ix is determined to be 1.5 A, and the 9 Vsource supplies a current of 7.6 A (that is, a current of 7.6 A leaves the positivereference terminal of the 9 V source). Determine the value of resistor RA.

12. For the circuit of Fig. 3.54 (which is a model for the dc operation of a bipolarjunction transistor biased in forward active region), IB is measured to be100 A. Determine IC and IE.

http://angoothachaap.blogspot.com

2. If v1 = 3v, v3 = 1.5v calculate vr, v1, vx.

EXERCISES 71

+ +

+

1 V

2 V

5 V

2

10

(a)

i ++

+

+

10 V

1.5 V+

1.5 V

2 V

2

2 1 V

2 2

(b)

i

FIGURE 3.59

+

+

4 V

+

vx

+

vR

+

v1

+

v2 +

+ 12 V

+ v3

R1

R2

1.5 V

bc

a23 V

FIGURE 3.60

18. Use KVL to obtain a numerical value for the current labeled i in each circuitdepicted in Fig. 3.59.

19. In the circuit of Fig. 3.60, it is determined that v1 = 3 V and v3 = 1.5 V. Calcu-late vR and v2.

20. In the circuit of Fig. 3.60, a voltmeter is used to measure the following: v1 = 2 Vand v3 = 1.5 V. Calculate vx .

21. Determine the value of vx as labeled in the circuit of Fig. 3.61.

+

vx

2

7.3

2 1 2.3 V ix

+

500 mA

FIGURE 3.61

22. Consider the simple circuit shown in Fig. 3.62. Using KVL, derive theexpressions

v1 = vs R1R1 + R2 and v2 = vsR2

R1 + R223. (a) Determine a numerical value for each current and voltage (i1, v1, etc.) in

the circuit of Fig. 3.63. (b) Calculate the power absorbed by each element andverify that they sum to zero.

+

R2

R1vs v2

+

v1+

FIGURE 3.62

5i25v1

5 6 2 V v1

+

v2

+

v4

+

v5

+

v3+

i4i2 i5

+

+

i1

i3

FIGURE 3.63


3. Determine the value of vx

EXERCISES 71

+ +

+

1 V

2 V

5 V

2

10

(a)

i ++

+

+

10 V

1.5 V+

1.5 V

2 V

2

2 1 V

2 2

(b)

i

FIGURE 3.59

+

+

4 V

+

vx

+

vR

+

v1

+

v2 +

+ 12 V

+ v3

R1

R2

1.5 V

bc

a23 V

FIGURE 3.60





+

vx

2

7.3

2 1 2.3 V ix

+

500 mA

FIGURE 3.61





+

R2

R1vs v2

+

v1+

FIGURE 3.62

5i25v1

5 6 2 V v1

+

v2

+

v4

+

v5

+

v3+

i4i2 i5

+

+

i1

i3

FIGURE 3.63


1

4. calculate v1 to v5 and i1 to i5

EXERCISES 71

+ +

+

1 V

2 V

5 V

2

10

(a)

i ++

+

+

10 V

1.5 V+

1.5 V

2 V

2

2 1 V

2 2

(b)

i

FIGURE 3.59

+

+

4 V

+

vx

+

vR

+

v1

+

v2 +

+ 12 V

+ v3

R1

R2

1.5 V

bc

a23 V

FIGURE 3.60





+

vx

2

7.3

2 1 2.3 V ix

+

500 mA

FIGURE 3.61





+

R2

R1vs v2

+

v1+

FIGURE 3.62

5i25v1

5 6 2 V v1

+

v2

+

v4

+

v5

+

v3+

i4i2 i5

+

+

i1

i3

FIGURE 3.63


5. calculate the value of vA and power absorbed by each element.

CHAPTER 3 VOLTAGE AND CURRENT LAWS72

24. The circuit shown in Fig. 3.64 includes a device known as an op amp. Thisdevice has two unusual properties in the circuit shown: (1) Vd = 0 V, and(2) no current can flow into either input terminal (marked and + insidethe symbol), but it can flow through the output terminal (marked OUT).This seemingly impossible situationin direct conflict with KCLis a resultof power leads to the device that are not included in the symbol. Based on thisinformation, calculate Vout. (Hint: two KVL equations are required, bothinvolving the 5 V source.)

1 k

2.2 k

500 +

+

2 V

3vxvx+

FIGURE 3.66

+

+

ix

X27

33

19

2 V12 V

v1+

FIGURE 3.67

+

5 VVd+

Vout+

100

470

OP AMP

OUT+

FIGURE 3.64

3.4 The Single-Loop Circuit25. The circuit of Fig. 3.12b is constructed with the following: vs1 = 8 V,

R1 = 1 , vs2 = 16 V, and R2 = 4.7 . Calculate the power absorbed by eachelement. Verify that the absorbed powers sum to zero.

26. Obtain a numerical value for the power absorbed by each element in the circuitshown in Fig. 3.65.

8vA

2

5

+

4.5 V+

vA

+

FIGURE 3.65

27. Compute the power absorbed by each element of the circuit of Fig. 3.66.28. Compute the power absorbed by each element in the circuit of Fig. 3.67 if the

mysterious element X is (a) a 13 resistor; (b) a dependent voltage sourcelabeled 4v1, reference on top; (c) a dependent voltage source labeled 4ix, reference on top.

29. Kirchhoffs laws apply whether or not Ohms law applies to a particularelement. The I-V characteristic of a diode, for example, is given by

ID = IS(

eVD/VT 1)


6. calculate the power absorbed or delivered by each element.

EXERCISES 73

where VT = 27 mV at room temperature and IS can vary from 1012 to 103 A. In the circuit of Fig. 3.68, use KVL/KCL to obtain VD if IS = 29 pA.(Note: This problem results in a transcendental equation, requiring an iterativeapproach to obtaining a numerical solution. Most scientific calculators willperform such a function.)

3.5 The Single-Node-Pair Circuit30. Referring to the circuit of Fig. 3.69, (a) determine the two currents i1 and i2;

(b) compute the power absorbed by each element.

+

100

3 V ID VD

+

FIGURE 3.68

3 A 7 A 2 R1 R2v

+

i1 i2

4

FIGURE 3.69

2 A 3 A 6 R1 R2v

+

i1 i2

10

FIGURE 3.70

1 A 2 A5 5 Av+

5

FIGURE 3.71

3 3ix1 2 Av

+

ix

FIGURE 3.72

2.8 k

4.7 k

1 k

5 mA

3 mA

FIGURE 3.73

31. Determine a value for the voltage v as labeled in the circuit of Fig. 3.70, andcompute the power supplied by the two current sources.

32. Referring to the circuit depicted in Fig. 3.71, determine the value of the voltage v.

33. Determine the voltage v as labeled in Fig. 3.72, and calculate the powersupplied by each current source.

34. Although drawn so that it may not appear obvious at first glance, the circuitof Fig. 3.73 is in fact a single-node-pair circuit. (a) Determine the powerabsorbed by each resistor. (b) Determine the power supplied by each currentsource. (c) Show that the sum of the absorbed power calculated in (a) is equalto the sum of the supplied power calculated in (c).


7. what is the value of Is in the circuit will result in a zero voltage v

41. (a) Determine the values for IX and VY in the circuit shown in Fig. 3.79.(b) Are those values necessarily unique for that circuit? Explain. (c) Simplifythe circuit of Fig. 3.79 as much as possible and still maintain the values for vand i. (Your circuit must contain the 1 resistor.)


3.6 Series and Parallel Connected Sources35. Determine the numerical value for veq in Fig. 3.74a, if (a) v1 = 0, v2 = 3 V,

and v3 = 3 V; (b) v1 = v2 = v3 = 1 V; (c) v1 = 9 V, v2 = 4.5 V, v3 = 1 V.36. Determine the numerical value for ieq in Fig. 3.74b, if (a) i1 = 0, i2 = 3 A,

and i3 = 3 A; (b) i1 = i2 = i3 = 1 A; (c) i1 = 9 A, i2 = 4.5 A, i3 = 1 A.37. For the circuit presented in Fig. 3.75, determine the current labeled i by first

combining the four sources into a single equivalent source.38. Determine the value of v1 required to obtain a zero value for the current la-

beled i in the circuit of Fig. 3.76.

7 A 8 A2 5 Av+

3

FIGURE 3.77

=

(a)

v1

v2

v3

+

+

veq+

+

=

(b)

i1 i2 i3 ieq

FIGURE 3.74

+

+

6 V

2 V

12 V 2 V

+

1 k

+

i

FIGURE 3.75

+

+

4 V

v1

2 V 1 V

+

7

7 +

i

FIGURE 3.76

1.28 A 2.57 A1 ISv+

1

FIGURE 3.78

3 A 3 A

IX 3 V4 A 1 v

+

i+

4 V+

VY+

FIGURE 3.79

39. (a) For the circuit of Fig. 3.77, determine the value for the voltage labeled v,after first simplifying the circuit to a single current source in parallel with two resistors. (b) Verify that the power supplied by your equivalent source is equal tothe sum of the supplied powers of the individual sources in the original circuit.

40. What value of IS in the circuit of Fig. 3.78 will result in a zero voltage v?


2

8. calculate the value of v

EXERCISES 75

2

2 3

1

1

2 4

(a) (b) FIGURE 3.80

+

+

2 7

1

5

1 V3 V

i

FIGURE 3.82

2

1

4

(a)

1 4 3

(b) FIGURE 3.81

3.7 Resistors in Series and Parallel42. Determine the equivalent resistance of each of the networks shown in Fig. 3.80.

43. For each network depicted in Fig. 3.81, determine a single equivalent resistance.

44. (a) Simplify the circuit of Fig. 3.82 as much as possible by using source andresistor combinations. (b) Calculate i, using your simplified circuit. (c) To whatvoltage should the 1 V source be changed to reduce i to zero? (d) Calculate thepower absorbed by the 5 resistor.

45. (a) Simplify the circuit of Fig. 3.83, using appropriate source and resistor com-binations. (b) Determine the voltage labeled v, using your simplified circuit. (c) Calculate the power provided by the 2 A source to the rest of the circuit.

2 A 1 A5 5 A v+

5

FIGURE 3.83

46. Making appropriate use of resistor combination techniques, calculate i3 in thecircuit of Fig. 3.84 and the power provided to the circuit by the single currentsource.

3 5

6 3

1 A

9 3

5

3

vx

+

i3

FIGURE 3.84


9. calculate the value of vx and i3

EXERCISES 75

2

2 3

1

1

2 4

(a) (b) FIGURE 3.80

+

+

2 7

1

5

1 V3 V

i

FIGURE 3.82

2

1

4

(a)

1 4 3

(b) FIGURE 3.81

3.7 Resistors in Series and Parallel42. Determine the equivalent resistance of each of the networks shown in Fig. 3.80.

43. For each network depicted in Fig. 3.81, determine a single equivalent resistance.

44. (a) Simplify the circuit of Fig. 3.82 as much as possible by using source andresistor combinations. (b) Calculate i, using your simplified circuit. (c) To whatvoltage should the 1 V source be changed to reduce i to zero? (d) Calculate thepower absorbed by the 5 resistor.

45. (a) Simplify the circuit of Fig. 3.83, using appropriate source and resistor com-binations. (b) Determine the voltage labeled v, using your simplified circuit. (c) Calculate the power provided by the 2 A source to the rest of the circuit.

2 A 1 A5 5 A v+

5

FIGURE 3.83

46. Making appropriate use of resistor combination techniques, calculate i3 in thecircuit of Fig. 3.84 and the power provided to the circuit by the single currentsource.

3 5

6 3

1 A

9 3

5

3

vx

+

i3

FIGURE 3.84


10. calculate the value of vx and i


4 A 2i

6

15 3

6 9 A6 3 A

i

FIGURE 3.86

49. Calculate the equivalent resistance Req of the network shown in Fig. 3.87 if R1 = 2R2 = 3R3 = 4R4 etc. and R11 = 3 .

Req

R2 R5 R8

R3

R1 R4 R7 R10 R11

R6 R9 FIGURE 3.87

i

v2

+

v1+

v

+

R1

R2

FIGURE 3.88

i

v

+

R2R1

i1 i2

FIGURE 3.89

3 15

6 6

2 A 4i

9

vx

+

i

FIGURE 3.85

47. Calculate the voltage labeled vx in the circuit of Fig. 3.85 after first simplify-ing, using appropriate source and resistor combinations.

48. Determine the power absorbed by the 15 resistor in the circuit of Fig. 3.86.

50. Show how to combine four 100 resistors to obtain an equivalent resistanceof (a) 25 ; (b) 60 ; (c) 40 .

3.8 Voltage and Current Division51. In the voltage divider network of Fig. 3.88, calculate (a) v2 if v = 9.2 V and

v1 = 3 V; (b) v1 if v2 = 1 V and v = 2 V; (c) v if v1 = 3 V and v2 = 6 V; (d) R1/R2 if v1 = v2; (e) v2 if v = 3.5 V and R1 = 2R2; (f ) v1 if v = 1.8 V, R1 = 1 k, and R2 = 4.7 k.

52. In the current divider network represented in Fig. 3.89, calculate (a) i1 if i = 8 A and i2 = 1 A; (b) v if R1 = 100 k, R2 = 100 k, and i = 1 mA; (c) i2 if i = 20 mA, R1 = 1 , and R2 = 4 ; (d) i1 if i = 10 A, R1 = R2 = 9 ;(e) i2 if i = 10 A, R1 = 100 M, and R2 =1.


3

11. Determine power absorbed by 15 resistor


4 A 2i

6

15 3

6 9 A6 3 A

i

FIGURE 3.86


Req

R2 R5 R8

R3

R1 R4 R7 R10 R11

R6 R9 FIGURE 3.87

i

v2

+

v1+

v

+

R1

R2

FIGURE 3.88

i

v

+

R2R1

i1 i2

FIGURE 3.89

3 15

6 6

2 A 4i

9

vx

+

i

FIGURE 3.85








12. Calculate Req if R1 = 2R2 = 3R3 = 4R4 etc.and R11 = 3


4 A 2i

6

15 3

6 9 A6 3 A

i

FIGURE 3.86


Req

R2 R5 R8

R3

R1 R4 R7 R10 R11

R6 R9 FIGURE 3.87

i

v2

+

v1+

v

+

R1

R2

FIGURE 3.88

i

v

+

R2R1

i1 i2

FIGURE 3.89

3 15

6 6

2 A 4i

9

vx

+

i

FIGURE 3.85








13.


4 A 2i

6

15 3

6 9 A6 3 A

i

FIGURE 3.86


Req

R2 R5 R8

R3

R1 R4 R7 R10 R11

R6 R9 FIGURE 3.87

i

v2

+

v1+

v

+

R1

R2

FIGURE 3.88

i

v

+

R2R1

i1 i2

FIGURE 3.89

3 15

6 6

2 A 4i

9

vx

+

i

FIGURE 3.85








14. calculate the value of vx

EXERCISES 77

+

3 V

2 3

2 10

vx+

FIGURE 3.91

v

+

R4R1

i1 i4

R2

i2

R3

i3

FIGURE 3.90

53. Choose a voltage v 2.5 V and values for the resistors R1, R2, R3, and R4 inthe circuit of Fig. 3.90 so that i1 =1 A, i2 =1.2 A, i3 =8 A, and i4 = 3.1 A.

54. Employ voltage division to assist in the calculation of the voltage labeled vx inthe circuit of Fig. 3.91.

55. A network is constructed from a series connection of five resistors having val-ues 1 , 3 , 5 , 7 , and 9 . If 9 V is connected across the terminals of thenetwork, employ voltage division to calculate the voltage across the 3 resis-tor, and the voltage across the 7 resistor.

56. Employing resistance combination and current division as appropriate, deter-mine values for i1, i2, and v3 in the circuit of Fig. 3.92.

v3

+

1 2

5 4

4 4 25 A

i1i2

FIGURE 3.92

57. In the circuit of Fig. 3.93, only the voltage vx is of interest. Simplify the circuitusing appropriate resistor combinations and iteratively employ voltage divisionto determine vx.

2 k

4 k3 k

7 k

4 k

3 k

3 V +

1 k

vx

+

FIGURE 3.93

+

+

+ 10 V 20 V0.7 V

10 k

10 k 1 k

10i1i1

FIGURE 3.94

Chapter-Integrating Exercises58. The circuit shown in Fig. 3.94 is a linear model of a bipolar junction transistor

biased in the forward active region of operation. Explain why voltage divisionis not a valid approach for determining the voltage across either 10 k resistor.


4

15. explain why voltage division rule is not valid approach for determining the voltage acrosseither 10 K resistor

EXERCISES 77

+

3 V

2 3

2 10

vx+

FIGURE 3.91

v

+

R4R1

i1 i4

R2

i2

R3

i3

FIGURE 3.90

53. Choose a voltage v 2.5 V and values for the resistors R1, R2, R3, and R4 inthe circuit of Fig. 3.90 so that i1 =1 A, i2 =1.2 A, i3 =8 A, and i4 = 3.1 A.

54. Employ voltage division to assist in the calculation of the voltage labeled vx inthe circuit of Fig. 3.91.

55. A network is constructed from a series connection of five resistors having val-ues 1 , 3 , 5 , 7 , and 9 . If 9 V is connected across the terminals of thenetwork, employ voltage division to calculate the voltage across the 3 resis-tor, and the voltage across the 7 resistor.

56. Employing resistance combination and current division as appropriate, deter-mine values for i1, i2, and v3 in the circuit of Fig. 3.92.

v3

+

1 2

5 4

4 4 25 A

i1i2

FIGURE 3.92

57. In the circuit of Fig. 3.93, only the voltage vx is of interest. Simplify the circuitusing appropriate resistor combinations and iteratively employ voltage divisionto determine vx.

2 k

4 k3 k

7 k

4 k

3 k

3 V +

1 k

vx

+

FIGURE 3.93

+

+

+ 10 V 20 V0.7 V

10 k

10 k 1 k

10i1i1

FIGURE 3.94

Chapter-Integrating Exercises58. The circuit shown in Fig. 3.94 is a linear model of a bipolar junction transistor

biased in the forward active region of operation. Explain why voltage divisionis not a valid approach for determining the voltage across either 10 k resistor.


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