BASIC CONCEPTSThe following 75 questions concern basic units, definitions, laws, and relations between important circuit quantities. In this version of the exam, the first choice is always the correct one. In the actual exam, the correct choice could be in any position, and there may be other changes to the choices. You can always assume that numerical values for the resistance of resistors, inductance of inductors and capacitance of capacitors are positive.

1. Charge is measured in1. coulombs2. volts3. amperes4. watts5. joules

2. Current is measured in1. amperes2. volts3. coulombs4. watts5. joules

3. Power is measured in1. watts2. volts3. coulombs4. amperes5. joules

4. Energy is measured in1. joules2. volts3. coulombs4. amperes5. watts

5. Resistance is measured in1. ohms2. henrys3. farads4. watts5. joules

6. Inductance is measured in1. henrys2. ohms3. farads4. watts5. joules

7. Capacitance is measured in1. farads2. henrys3. ohms4. watts5. joules

8. The current i through a capacitor and the charge q that it holds are related by1. i = dq/dt2. q = di/dt3. q = 0.5 i24. i = 0.5 q25. q i = 1

9. The magnetic flux linkagein an inductor and the voltage v across its terminals are related by1. v = d/dt2. = dv/dt3. v = 0.524. = 0.5 v25. v= 1

10. Kirchhoff's Voltage Law (KVL) can be stated as1. The sum of the voltage drops around any closed path is zero2. The sum of the voltages at all the nodes is zero3. The sum of the voltages across all the elements equals the sum of the currents through all the elements4. The voltage across an element is proportional to the current through the element5. The sum of the voltages into a node is equal to the sum of the voltages out of the node

11. Kirchhoff's Voltage Law (KVL) can be stated as1. The voltage rise from Node a to Node b is the same for every path from a to b2. The voltage rise from Node a to Node b is zero if Node b is a ground node3. The total voltage into a node equals the total voltage out of a node4. The voltage at Node a with Node b grounded is the same as the voltage at Node b with Node a grounded5. The voltage between any two nodes is independent of the total current flowing in the network

12. Kirchhoff's Current Law (KCL) can be stated as1. The sum of the currents flowing into any node is zero2. The sum of the currents flowing around any closed loop is zero3. The sum of the currents through all elements equals the sum of the voltages across the elements4. The current through an element is proportional to the voltage across the element5. The sum of the currents flowing clockwise around any mesh is equal to the sum of the currents flowing counterclockwise around the same mesh

13. Kirchhoff's Current Law (KCL) can be stated as1. The sum of the currents entering a node equals the sum of the currents leaving the node2. The sum of the currents entering a node equals the sum of the currents entering the ground node3. The current flowing around any mesh is independent of the voltage sources in that mesh4. The sum of the currents flowing around a mesh is zero5. The sum of the currents flowing through any element is equal to the voltage dropped across that element

14. When two or more circuit elements are connected in series1. the currents flowing through them are the same2. the voltages across them are the same3. the powers dissipated in them are the same4. the energies stored in them are the same5. the flux linkages produced by them are the same

15. When two or more circuit elements are connected in parallel1. the voltages across them are the same2. the currents flowing through them are the same3. the powers dissipated in them are the same4. the energies stored in them are the same5. the flux linkages produced by them are the same

16. The voltage v(t) across an independent voltage source1. does not depend on the current i(t) through the source2. is proportional to the current i(t) through the source3. does not depend on time t4. cannot provide power to an external circuit5. always provides power to an external circuit

17. The current i(t) through an independent current source1. does not depend on the voltage v(t) across the source2. is proportional to the voltage v(t) across the source3. does not depend on time t4. cannot provide power to an external circuit5. always provides power to an external circuit

18. The voltage vcfor the dependent source shown1. is proportional to the voltage vxsomewhere else in the circuit2. is proportional to the current i through the source3. cannot provide power to an external circuit4. always provides power to an external circuit5. is never negative

19. The voltage vcfor the dependent source shown1. is proportional to the current ixsomewhere else in the circuit2. is proportional to the current i through the source3. cannot provide power to an external circuit4. always provides power to an external circuit5. is never negative

20. The current icfor the dependent source shown1. is proportional to the current ixsomewhere else in the circuit2. is proportional to the voltage v across the source3. cannot provide power to an external circuit4. always provides power to an external circuit5. is never negative

21. The current icfor the dependent source shown1. is proportional to the voltage vxsomewhere else in the circuit2. is proportional to the voltage v across the source3. cannot provide power to an external circuit4. always provides power to an external circuit5. is never negative

22. The open-loop voltage gain of an ideal operational amplifier is1. infinite2. unity3. zero4. inverting5. noninverting

23. The current flowing into either input of an ideal operational amplifier is1. zero2. unity3. infinite4. inverting5. noninverting

24. The current i0flowing out of an ideal operational amplifier is1. found by writing a KCL equation at the output node2. equal to the sum of the currents i1and i23. zero, if the amplifier is ideal4. never negative5. determined by the largest resistor in the circuit

25. The circuit shown is called1. a voltage follower2. an inverting amplifier3. a full-wave rectifier4. an integrator5. a differentiator

26. The circuit shown is called1. a non-inverting amplifier2. an inverting amplifier3. a full-wave rectifier4. an integrator5. a differentiator

27. The circuit shown is called1. an inverting amplifier2. a non-inverting amplifier3. a full-wave rectifier4. an integrator5. a differentiator

28. Ohm's Law is1. v = R i2. v = L di/dt3. p = i2R4. p = v i5. i = C dv/dt

29. The resistance R and the conductance G of a resistor are related by1. G = 1 / R2. G = 2R3. G = 2/ R4. R + G = 15. G = e-R

30. The voltage v across an inductor and the current i through it are related by1. v = L di/dt2. i = L dv/dt3. v = L i4. i = L v5. dv/dt = L i

31. The voltage v across a capacitor and the current i through it are related by1. i = C dv/dt2. v = C di/dt3. i = C v4. v = C i5. di/dt = C v

32. The relationship between power p and energy w is1. p = dw/dt2. w = dp/dt3. p = w24. w = p25. p = 1 / w

33. The instantaneous power p(t) flowing into a circuit element1. is given by p = v i2. is given by p = v / i3. is given by p = i / v4. can never be negative5. can never be positive

34. The energy w(t) transferred into a circuit element1. is given by2. is given by w = v i3. is given by w = v / i4. is given by w = i / v5. is zero if t is negative

35. The power dissipated by a resistor is1. p = i2R2. p = v2R3. p = v i R4. p = v i / R5. p = i2/ R

36. The power dissipated by a resistor is1. p = v2/ R2. p = v2R3. p = v i R4. p = v i / R5. p = i2/ R

37. The power dissipated by a resistor1. cannot be negative2. is called the conductance3. is measured in joules4. is equal to the power that it generates5. is purely imaginary

38. The energy stored in an inductor L is given by1. 0.5 L i22. L di/dt3. v i4. 0.5 L dv/dt5. 0.5 v2/ L

39. The energy stored in a capacitor C is1. 0.5 C v22. C v3. C dv/dt4. 0.5 C di/dt5. 0.5 i2/ C

40. If a stable linear network is driven by a sinusoidal source, in steady state1. every voltage and every current has the same frequency2. every voltage and every current has the same amplitude3. every voltage and every current has the same phase4. all voltages and currents are constant5. the power absorbed by the resistive elements is equal to the power provided by the reactive elements

41. The angular frequency(in rad/s) is related to the frequency f (in Hz) by1. = 2f2. f = 23. = 1 / f4. = 2/ f5. + f = 1

42. If a voltage is given by v(t) = Vmcos(t +), the corresponding phasor voltageVis1. V= Vmej2. V= Vmejt3. V= Re{ Vmej(t +)}4. V= 0.5(Vm+ Vm*)5. V= jVm

43. If the phasor current for a frequencyis given byI= Imej, the corresponding time-domain current i(t) is1. i(t) = Imcos(t +)2. i(t) = Imej(t +)3. i(t) = Ime-tcos(t)4. i(t) = Ime-tcos(t)5. i(t) = Ime- jtcos(t)

44. If a phasor voltageVis written in polar form asV= Vmej1. Vmis called the amplitude2. Vmis called the admittance3. is called the frequency4. is called the susceptance5. Vmis purely imaginary

45. If a phasor currentIis written in polar form asI= Imej1. is called the phase angle2. is called the frequency3. Imis called the conductance4. Imis called the admittance5. Imis purely imaginary

46. The relationship between the phasor voltageV, the phasor currentIand the impedance Z is1. V= ZI2. I= ZV3. Z =V I*4. Z =V+I5. Z = |V| |I| cos

47. IfI= Imejand Z = Zmejthen the product ZIis given by1. ZmImej(+)2. ZmImej(-)3. ZmImej()4. (Zm+ Im) ej(+)5. (Zm+ Im) ej()

48. The impedance Z and the admittance Y are related by1. Y = 1 / Z2. Y = 2Z3. Y = 2/ Z4. Y + Z = 15. Y = ejZ

49. The impedance Z and the admittance Y are related by1. Y Z = 12. Z = 2Y3. Z = 2/ Y4. Z + Y = 15. Z = ejY

50. If an impedance Z is written in rectangular form as Z = R +j X,1. X is called the reactance2. X cannot be positive3. X cannot be negative4. X must become infinite at high frequencies5. R and X are measured in different units

51. The impedance of an inductor L at angular frequencyis1. Z = jL2. Z = 1 / jL3. Z = 0.524. Z =L5. Z = 1 /L

52. The impedance of an inductor is1. purely imaginary2. infinite at DC3. constant4. a sinusoidal function of frequency5. indeterminate

53. The reactance of an inductor L at angular frequencyis1. X =L2. X = -L3. X = 1 /L4. X = - 1 /L5. X = jL

54. The reactance of an inductor1. is never negative2. is never positive3. decreases in magnitude as frequency increases4. decreases in magnitude as the inductance increases5. is equal to the energy stored in the inductor

55. The impedance of a capacitor C at angular frequencyis1. Z = 1 / jC2. Z = jC3. Z = 0.52C4. Z =C5. Z = 1 /C

56. The impedance of a capacitor is1. purely imaginary2. zero at DC3. constant4. a sinusoidal function of frequency5. indeterminate

57. The reactance of a capacitor C at angular frequencyis1. X = - 1 /C2. X = 1 /C3. X = -C4. X =C5. X = 1 / jC

58. The reactance of a capacitor1. is never positive2. is never negative3. increases in magnitude as frequency increases4. increases as the capacitance increases5. is equal to the energy stored in the capacitor

59. The impedance of a resistor R at angular frequencyis1. Z = R2. Z = j R3. Z = jR4. Z = 1 / R5. Z =1 / jR

60. At very high frequencies, an inductor acts like1. an open circuit2. a short circuit3. a voltage source4. a capacitor5. an operational amplifier

61. At very low frequencies, an inductor acts like1. a short circuit2. an open circuit3. a current source4. a capacitor5. an operational amplifier

62. At very high frequencies, a capacitor acts like1. a short circuit2. an open circuit3. a current source4. an inductor5. an operational amplifier

63. At very low frequencies, a capacitor acts like1. an open circuit2. a short circuit3. a voltage source4. an inductor5. an operational amplifier

64. The equivalent impedance for three impedances connected in series is1. 2. 3. 4. 5.

65. The equivalent impedance for three impedances connected in parallel is1. 2. 3. 4. 5.

66. The circuit shown is called1. a voltage divider2. a current divider3. an inverting amplifier4. a non-inverting amplifier5. a full-wave rectifier

67. For the circuit shown1. 2. 3. 4. 5.

68. The circuit shown is called1. a current divider2. a voltage divider3. an inverting amplifier4. a non-inverting amplifier5. a full-wave rectifier

69. For the circuit shown,1. 2. 3. 4. 5.

70. An inactive or "dead" voltage source is equivalent to1. a short circuit2. an open circuit3. an ideal inductor4. an ideal capacitor5. an active or "live" current source

71. An inactive or "dead" current source is equivalent to1. an open circuit2. a short circuit3. an ideal inductor4. an ideal capacitor5. an active or "live" voltage source

72. The Thevenin equivalent impedance can be obtained by1. applying a test source with all independent sources dead2. applying a test source with all dependent sources dead3. short circuiting all inductors and open circuiting all capacitors4. open circuiting all inductors and short circuiting all capacitors5. replacing all inductors by capacitors and all capacitors by inductors

73. The Thevenin equivalent voltage can be obtained by1. solving for the open-circuit voltage2. solving for short-circuit voltage3. solving for the open-circuit current4. short circuiting all inductors and open circuiting all capacitors5. open circuiting all inductors and short circuiting all capacitors

74. The Norton equivalent current can be obtained by1. solving for the short-circuit current2. solving for the open-circuit current3. solving for the short-circuit voltage4. short circuiting all inductors and open circuiting all capacitors5. open circuiting all inductors and short circuiting all capacitors

75. The impedances in the Thevenin and Norton equivalent circuits1. are equal2. are complex conjugates of one another3. are negatives of one another4. are undefined whenis zero5. are undefined whenis infinite

End of Questions on Basic Concepts

APPLICATIONS OF BASIC CONCEPTSThe following 25 questions concern applications of basic circuit concepts to simple circuits. In this version of the exam, the first choice is always the correct one. In the actual exam, the correct choice could be in any position, and there may be other minor changes to the problems.

1. If Vs= 12 V and C = 2 F, the charge q (in coulombs) on the capacitor is1. 242. 63. 144. 105. 0

2. If C = 2 F and vs(t) = 3 e4tfor all t, the current i(t) (in amperes) at time t = 0 is1. 242. 63. 34. 1.55. 0

3. If Is= 2 A and L = 6 H, the flux linkage(in webers) for the inductor is1. 122. 03. 34. 85. -3

4. If L = 2 H and is(t) = 6 e5tV for all time t, the voltage v(t) (in volts) at t = 0 is1. 602. 123. 64. 155. 0

5. If, for all time t, vs(t) = 12 V, R = 6, C = 2 F, and i(t) = 0 A, the voltage vc(t) (in volts) across the capacitor is1. 122. -123. 24. -25. 144

6. If, for all time t, is(t) = 8 A, R = 8, L = 2 H and v(t) = 0 V, the current i(t) (in amperes) through the inductor is1. -82. 83. 644. -645. 128

7. If Vs= 12 V and C = 2 F, the energy (in joules) stored in the capacitor is1. 1442. 243. 64. 2885. 0

8. If Is= 4 A and L = 8 H, the energy (in joules) stored in the inductor is1. 642. 323. 0.54. 1285. 0

9. If Is= 4 A and R = 6, the power (in watts) dissipated in the resistor is1. 962. 483. 2.674. 245. 0

10. If v( t0) = 8 V and is( t0) = -2 A, the power (in watts) beingabsorbedby the element at time t0is1. -162. 163. -44. 45. 0

11. If Vs= 12 V and Is= 2 A, the voltage V (in volts) across the current source is1. 122. 243. -124. 105. 0

12. If Vs= 12 V and Is= 2 A, the current I (in amperes) is1. -22. 23. 244. -245. 0

13. If Vs= 12 V and Is= 2 A, the power (in watts)deliveredby the current source is1. 242. -243. 24. -25. 12

14. If Vs= 12 V and Is= 2 A, the power (in watts)deliveredby the voltage source is1. -242. 243. -124. 125. -2

15. If Vs= 12 V and Is= 2 A, the power (in watts)absorbedby the voltage source is1. 242. -243. 124. -125. 2

16. If I1= 6 A and I2= 4 A, the current I3(in amperes) is1. 22. 103. -24. 245. 0

17. If V1= 12 V and V3= 9 V, the voltage V2(in volts) is1. 32. -33. 214. 1085. 0

18. If I1= 6 A and I2= 4 A, the current I3(in amperes) is1. 102. 23. -24. -105. 0

19. If V1= 12 V, V2= 4 V and V3= 6 V, the voltage V0(in volts) is1. 102. 223. -104. -225. 16

20. If is= 2 A , r = 3, and R = 4, the voltage v0(in volts) is1. 62. 183. 24. 85. 0

21. If v1= 2 V , v2= 4 V, R = 2, and g = 2 S, the current io(in amperes) is1. -122. 123. -244. 245. -4

22. If i1= 6 A , i2= 8 A , R = 6, and= 4, the current i0(in amperes) is1. -82. 83. -484. 485. 0

23. If vs= 6 V, R = 2, and= 8, the voltage v0(in volts) is1. -482. 483. -244. 245. 0

24. If v1= 10 V , v2= 4 V , is= 2 A, and R = 5, the voltage v0(in volts) is1. 62. 143. 104. 165. 0

25. If i1= 6 A , i2= 2 A , vs= 14 V, and R = 2, the current i0(in amperes) is1. 42. 83. -44. 115. 7

End of Questions on Applications of Basic ConceptsDC CIRCUITSThe following questions concern DC circuit analysis. All operational amplifiers are ideal. In this version of the exam, the first choice is always the correct one. In the actual exam, the correct choice could be in any position, and there may be other changes to the choices.

1. If R1= 2, R2= 3, and R3= 6, the equivalent resistance Req(in ohms) at terminals a and b is1. 42. 113. 204. 185. 6

2. If R1= 3, R2= 4, R3= 2, and R4= 2, the equivalent resistance Req(in ohms) at terminals a and b is1. 52. 113. 194. 45. 2

3. If R1= 40, R2= 10, and R3= 50, the equivalent resistance Req(in ohms) at terminals a and b is1. 242. 1003. 24004. 48.335. 10

4. If R1= 30, R2= 6, R3= 40, and R4= 60, the equivalent resistance Req(in ohms) at terminals a and b is1. 152. 1363. 54. 65. 60

5. If Vs= 18 V, R1= 2, and R2= 4, the voltage V1(in volts) is1. 62. -63. 124. -125. 9

6. If Vs= 24 V, R1= 36, and R2= 12, the voltage V1(in volts) is1. -182. 183. -64. 65. -12

7. If Vs= 100 V, R1= 25, R2= 15, and R3= 10, the voltage V2(in volts) is1. -302. 303. -504. 205. 50

8. If Vs= 9 V, R1= 2, R2= 3, and R3= 4, the voltage V1(in volts) is1. -22. 23. -34. 35. 4

9. If Is= 6 A, R1= 2, and R2= 4, the current I2(in amperes) is1. 22. -23. 44. -45. 3

10. If Is= 36 A, R1= 6, and R2= 12, the current I1(in amperes) is1. -242. 243. -124. 125. 18

11. If Is= 18 A, R1= 6, R2= 4, and R3= 3, the current I3(in amperes) is1. -82. 83. -4.154. 4.155. 9

12. If Is= 14 A, R1= 2, R2= 4, and R3= 8, the current I1(in amperes) is1. 82. -83. 24. -25. 7

13. If Vs= 8 V, R1= 24, and R2= 40, the Thevenin equivalent resistance RTh(in ohms) at terminals (a, b) is1. 152. 243. 404. 645. 32

14. If Is= 2 A, R1= 24, and R2= 40, the Thevenin equivalent resistance RTh(in ohms) at terminals (a, b) is1. 642. 243. 404. 155. 32

15. If Vs= 8 V, R1= 24, and R2= 40, the Thevenin equivalent resistance RTh(in ohms) at terminals (a, b) is1. 402. 243. 644. 505. 32

16. If Is= 2 A, R1= 24, and R2= 40, the Thevenin equivalent resistance RTh(in ohms) at terminals (a, b) is1. 242. 403. 644. 505. 32

17. If= 0.5 and R = 8, the Thevenin equivalent resistance RTh(in ohms) at terminals (a, b) is1. 162. 83. 44. -165. -4

18. If= 0.5 and R = 8, the Thevenin equivalent resistance RTh(in ohms) at terminals (a, b) is1. 122. 83. 44. -125. -4

19. If r = 20and R1= 4, the Thevenin equivalent resistance RTh(in ohms) at terminals (a, b) is1. -162. 163. 44. 245. 20

20. If g = 0.25 S and R1= 4, the Thevenin equivalent resistance RTh(in ohms) at terminals (a, b) is1. 22. -23. 44. 85. 0

21. If Vs= 8 V, R1= 24, and R2= 40, the Thevenin equivalent voltage VTh(in volts) at terminals (a, b) is1. 32. -33. 54. -55. 8

22. If Is= 2 A, R1= 24, and R2= 40, the Thevenin equivalent voltage VTh(in volts) at terminals (a, b) is1. -802. 803. -484. 485. 0

23. If Vs= 8 V, R1= 24, and R2= 40, the Thevenin equivalent voltage VTh(in volts) at terminals (a, b) is1. 82. -83. 34. -35. 0

24. If Is= 2 A, R1= 24, and R2= 40, the Thevenin equivalent voltage VTh(in volts) at terminals (a, b) is1. 482. -483. 804. -805. 0

25. If= 0.5 and R = 8, the Thevenin equivalent voltage VTh(in volts) at terminals (a, b) is1. 02. 0.53. 44. -0.55. -4

26. If= 0.5 and R = 8, the Thevenin equivalent voltage VTh(in volts) at terminals (a, b) is1. 02. 0.53. 44. -0.55. -4

27. If Vs= 8 V, R1= 24, and R2= 40, the Norton equivalent current IN(in amperes) at terminals (a, b) is1. 0.22. -0.23. 0.3334. -0.3335. 0

28. If Is= 2 A, R1= 24, and R2= 40, the Norton equivalent current IN(in amperes) at terminals (a, b) is1. -1.252. 1.253. -0.754. 0.755. 0

29. If= 0.5 and R = 8, the Norton equivalent current IN(in amperes) at terminals (a, b) is1. 02. 0.06253. -0.06254. 0.55. -0.5

30. If= 0.5 and R = 8, the Norton equivalent current IN(in amperes) at terminals (a, b) is1. 02. 0.53. 44. -0.55. -4

31. If Vs= 8 V, Is= 4 A, R1= 4, and R2= 4, the voltage V2(in volts) is1. 122. -123. 44. -45. 0

32. If Vs= 8 V, Is= 4 A, R1= 4, and R2= 4, the voltage V2(in volts) is1. 42. -43. 84. -85. 0

33. If Vs= 12 V, R1= 3, R2= 2, and r = 5, the current I2(in amperes) is1. 102. -103. 204. -205. 0

34. If Is= 2 A, R1= 5, R2= 10, and= 40, the current I2(in amperes) is1. -402. 403. -4004. 4005. 0

35. If Vs= 12 V, R1= 3, R2= 2, and= 2 , the voltage V2(in volts) is1. -162. 163. -84. 85. 0

36. If Is= 6 A, R1= 2, R2= 3, and g = 2 S, the voltage V2(in volts) is1. 722. -723. 244. -245. 0

37. If Vs= 24 V, R1= 6, and r = 2, the current Ix(in amperes) is1. 62. -63. 34. -35. 0

38. If Vs= 24 V, R1= 6, and r = 2, the current Ix(in amperes) is1. 32. -33. 64. -65. 0

39. If Is= 12 A, R = 5, and g = 0.1 S, the voltage Vx(in volts) is1. 1202. -1203. 404. -405. 0

40. If Is= 12 A, R = 5, and g = 0.1 S, the voltage Vx(in volts) is1. 402. -403. 1204. -1205. 0

41. If Is= 3 A and R = 6, the voltage V0(in volts) is1. -182. 183. -364. 365. 0

42. If Is= 3 A and R = 6, the voltage V0(in volts) is1. 182. -183. 364. -365. 0

43. If Vs= 12 V, R1= 4, and R2= 6, the voltage V0(in volts) is1. -182. 183. -84. 85. 0

44. If Vs= 12 V, R1= 4, and R2= 6, the voltage V0(in volts) is1. 302. -303. 184. -185. 0

45. If Vs= 12 V, R1= 4, and R2= 6, the current I1(in amperes) is1. 32. 1.23. -34. -1.25. 0

46. If Vs= 12 V, R1= 4, and R2= 6, the current I1(in amperes) is1. 02. 33. 24. -35. -2

47. If Vs= 12 V, R1= 4, R2= 6, and R3= 6, the current I0(in amperes) is1. -62. 63. -34. 35. 0

48. If Vs= 12 V, R1= 4, R2= 6, and R3= 10, the current I0(in amperes) is1. 62. -63. 34. -35. 0

49. If Vs= 6 V and R = 10, the voltage V0(in volts) is1. 242. -243. 64. -65. 0

50. If Vs= 6 V and R = 10, the voltage V0(in volts) is1. 62. -63. 244. -245. 0

End of Questions on DC Circuits