FE ELECTRICAL – EIGHTH SIMULATION

#1. [Computer Systems and Software] Which data structure gives O(1) average-time lookup for symbol tables while allowing dynamic insertion?

Sorted array

Hash table

Balanced BST

Linked list

#2. [Control Systems] A standard 2nd-order closed-loop system has damping ratio ζ=0.39. Percent overshoot is:

21.659 %

34.100 %

20.252 %

26.432 %

#3. [Probability and Statistics] Sum of 4 independent variables, each with mean 7 and std dev 5. Standard deviation of the sum is:

12.09

10.00

11.60

7.90

#4. [Control Systems] For characteristic equation s^2 + 5s + 2=0, which range of k ensures stability?

k < 0

All values of k

k > 10

k > 0

#5. [Digital Systems] In unsigned 4-bit arithmetic, adding 11 and 8 sets carry-out flag to:

0

depends on signed interpretation

undefined

1

#6. [Computer Networks] Ignoring loss, TCP throughput with receive window 128 kB and RTT 50 ms is approximately:

17.914 Mb/s

17.122 Mb/s

20.480 Mb/s

23.983 Mb/s

#7. [Communications] In M-ary digital modulation, what is the trade-off when increasing the modulation order M?

Increasing M always improves both spectral efficiency and noise immunity

Higher M reduces the required SNR for a given BER

M-ary modulation reduces bandwidth but has no effect on error rate

Increasing M allows more bits per symbol, improving spectral efficiency at the cost of SNR requirement

#8. [Communications] For an AM wave, envelope Vmax=7.86 and Vmin=0.36. Modulation index m is:

1.057

0.912

0.829

0.765

#9. [Communications] For M-ary signaling with M=16 and bit rate 100 kb/s, symbol rate is:

40 ksym/s

50 ksym/s

25 ksym/s

20 ksym/s

#10. [Engineering Sciences] A vibration-sensitive electronics tray is modeled as an underdamped SDOF system with m=0.95 kg, damping ratio ζ=0.23, and natural frequency ωn=34.97 rad/s. What is the damped natural frequency ωd?

29.823 rad/s

38.819 rad/s

36.496 rad/s

34.032 rad/s

#11. [Engineering Economics] For a test fixture: fixed cost $118,191, unit price $146, variable cost $32. Breakeven quantity is:

907 units

1199 units

1037 units

1244 units

#12. [Circuit Analysis] A Thevenin source Vth=31 V with Rth=9 Ω feeds RL=8 Ω. Load current is:

1.460

1.824

1.617

2.112

#13. [Power] At a 27 kV bus with Thevenin reactance 0.428 Ω (line-line basis), 3-phase bolted fault current is:

31382.0 A

36421.6 A

40880.9 A

43684.8 A

#14. [Mathematics] Compute the integral ∫_1^6 x^2 dx.

71.7

79.3

59.5

80.5

#15. [Electronics] Using square-law saturation model Id=0.5k(VGS−VT)^2, find Id for k=0.0017 A/V², VGS=2.27 V, VT=1.05 V.

1.397 mA

1.120 mA

1.542 mA

1.265 mA

#16. [Power] Transformer no-load secondary voltage is 126 V and full-load is 124 V. Voltage regulation is:

1.9 %

1.6 %

1.8 %

1.4 %

#17. [Power] A balanced 3-phase load consumes 469 kW at 244 V line-line and pf=0.94 lagging. Line current is:

1180.6 A

1316.0 A

1016.7 A

1388.7 A

#18. [Probability and Statistics] Assuming normal process variation with mean 112 and std dev 16, what is the 95th percentile?

155.3

138.3

129.9

119.8

#19. [Control Systems] A loop has crossover ωc=11.7 rad/s and phase margin 63.3°. Which interpretation is correct?

Phase margin has no bearing on closed-loop stability

Positive phase margin indicates closed-loop stability with moderate robustness

The system is marginally stable and requires gain reduction

Negative phase margin indicates instability at the crossover frequency

#20. [Mathematics] For first-order decay dy/dt = -7y with y(0)=1, find y(0.37 s).

0.083

0.065

0.075

0.064

#21. [Control Systems] A loop has crossover ωc=17.2 rad/s and phase margin 69.2°. Which interpretation is correct?

Negative phase margin indicates instability at the crossover frequency

Phase margin has no bearing on closed-loop stability

Positive phase margin indicates closed-loop stability with moderate robustness

The system is marginally stable and requires gain reduction

#22. [Communications] Using Shannon capacity C = B log2(1+SNR), with B=7.9 MHz and linear SNR=50, capacity is:

37.364 Mb/s

35.224 Mb/s

44.812 Mb/s

48.458 Mb/s

#23. [Circuit Analysis] An AC source of 205 Vrms drives impedance Z = 8 + j10 Ω. RMS current magnitude is:

19.438

17.710

16.008

18.401

#24. [Mathematics] For first-order decay dy/dt = -3y with y(0)=1, find y(0.33 s).

0.429

0.372

0.287

0.302

#25. [Linear Systems] For system y” + 8y’ + 1y = u(t), which statement about stability is true?

Marginally stable with oscillatory response

Unstable because the natural frequency is too high

Stable because all coefficients are positive and roots have negative real parts

Cannot determine without initial conditions

#26. [Circuit Analysis] An AC source of 131 Vrms drives impedance Z = 19 + j16 Ω. RMS current magnitude is:

5.839

5.274

5.902

6.259

#27. [Ethics and Professional Practice] On a solar farm commissioning, field staff are bypassing arc-flash PPE requirements to meet the deadline. The correct action is:

Document the bypass but continue to meet the commissioning deadline

Suspend the task and enforce required safety controls before restarting

Instruct the team to hurry and restore PPE after the deadline passes

Allow temporary bypass with verbal risk acceptance from the crew

#28. [Electromagnetics] Transmission line has Z0=70 Ω and load ZL=78 Ω (real). Reflection coefficient Γ is:

0.074

0.072

0.054

0.040

#29. [Mathematics] For first-order decay dy/dt = -8y with y(0)=1, find y(0.83 s).

0.001

#30. [Probability and Statistics] A lot has independent defect probability 0.02 per board. For 6 boards, what is P(at least 3 defect)?

0.000

#31. [Ethics and Professional Practice] On a municipal water-treatment SCADA project, you still have access to proprietary firmware from a former employer. The correct action is:

Reuse the firmware and credit your former employer in the documentation

Reuse the firmware since you wrote it yourself during prior employment

Use only small portions of the code to avoid copyright infringement

Do not reuse protected material; obtain authorization or create an original implementation

#32. [Engineering Sciences] A busbar support bracket experiences elastic strain 1232 με. Assuming Young’s modulus E = 208.3 GPa, stress is:

280.7 MPa

256.6 MPa

291.9 MPa

296.8 MPa

#33. [Mathematics] Evaluate Re(e^(j2t)) at t = 1.26 s.

-0.660

-0.813

-0.979

-0.606

#34. [Circuit Analysis] Node A is connected to 19 V through 8 Ω and to 14 V through 7 Ω. What is node voltage VA?

16.3

13.6

18.4

17.5

#35. [Linear Systems] A transfer function has poles at s=-2.42 and s=-15.79. Dominant time constant is:

0.479 s

0.413 s

0.484 s

0.369 s

#36. [Electronics] Ideal inverting op-amp with Rin=15 kΩ, Rf=49 kΩ, Vin=0.119 V. Output is:

-0.329 V

-0.389 V

-0.424 V

-0.357 V

#37. [Mathematics] An engineer linearizes a calibration model and obtains equations 2x + 4y = 19 and 1x + 6y = 23. What is x?

2.750

2.404

2.513

2.217

#38. [Computer Systems and Software] A 32-bit, direct-mapped cache has 512 sets and 128-byte blocks. Tag bits per line are:

14

16

19

#39. [Linear Systems] For a 2nd-order system with damping ratio ζ=0.61 and ωn=7.51 rad/s, estimate 2% settling time.

0.755 s

0.873 s

1.056 s

0.980 s

#40. [Engineering Sciences] For coupled electro-thermal design, which modeling approach most directly captures bidirectional coupling?

Independent electrical and thermal solutions combined at the end

Iterative multiphysics solution that updates electrical parameters with temperature each step

Single thermal simulation with fixed electrical parameters

Monte Carlo sampling of temperature-dependent parameters

#41. [Circuit Analysis] In an RL step response with V=40 V, R=28 Ω, L=0.228 H, find i(t) at t=0.016 s.

1.228

0.983

1.410

1.104

#42. [Engineering Economics] A public project has PV of benefits = $293,489 and PV of costs = $394,837. Benefit-cost ratio is:

0.863

0.620

0.830

0.743

#43. [Electronics] A BJT in active mode has β=80 and base current 105.5 µA. Collector current is closest to:

8.440 mA

7.287 mA

7.468 mA

10.034 mA

#44. [Communications] A TDM PCM system multiplexes 23 channels, each sampled at 16000 Hz with 10 bits/sample. Total data rate is:

3.717 Mb/s

3.680 Mb/s

3.668 Mb/s

4.232 Mb/s

#45. [Digital Systems] In unsigned 4-bit arithmetic, adding 13 and 13 sets carry-out flag to:

undefined

depends on signed interpretation

0

1

#46. [Electromagnetics] For a long straight conductor carrying 90 A, magnetic flux density at radius 0.026 m is:

1.00e-03 T

6.92e-04 T

0.00e+00 T

#47. [Control Systems] A standard 2nd-order closed-loop system has damping ratio ζ=0.48. Percent overshoot is:

19.827 %

15.950 %

22.448 %

17.926 %

#48. [Power] A 2-pole induction motor on 60 Hz runs at 3560 rpm. Rotor current frequency is closest to:

0.667 Hz

0.511 Hz

0.807 Hz

0.527 Hz

#49. [Signal Processing] For y[n]=0.4y[n-1]+(-0.12)y[n-2]+x[n], which is correct?

BIBO stable (dominant poles inside unit circle)

BIBO unstable (pole outside unit circle)

Marginally stable (pole on unit circle)

Cannot determine without input specification

#50. [Properties of Electrical Materials] A 1.4 mm insulation layer withstands 29814 V. The electric field stress is:

21295714.3 V/m

17048282.2 V/m

17801695.2 V/m

25197636.7 V/m

#51. [Electromagnetics] For a lossless medium with εr=5.5 and μr=1.0, intrinsic impedance η is:

160.8 Ω

189.3 Ω

139.5 Ω

146.7 Ω

#52. [Engineering Sciences] Cooling air for a power converter has mass flow 0.068 kg/s and specific heat cp=1010 J/(kg·K). With ΔT = 60 K, heat removed is:

4120.8 W

3592.7 W

4810.0 W

4560.9 W

#53. [Circuit Analysis] A current source 12 A feeds two parallel resistors 4 Ω and 8 Ω. Node voltage across them is:

26.497

32.000

34.837

37.757

#54. [Digital Systems] In unsigned 4-bit arithmetic, adding 14 and 6 sets carry-out flag to:

undefined

1

depends on signed interpretation

0

#55. [Mathematics] In a fully connected sensor graph with 11 nodes, how many unique undirected links exist?

66

53

56

55

#56. [Digital Systems] Pipeline stage has tCQ=2.07 ns, combinational delay=3.57 ns, setup=2.11 ns. Max clock frequency is:

109.4 MHz

103.4 MHz

129.0 MHz

156.6 MHz

#57. [Probability and Statistics] Assuming normal process variation with mean 88 and std dev 12, what is the 95th percentile?

118.6

107.7

96.8

93.1

#58. [Mathematics] For f(t) = t^6 – t^2 + 6t, evaluate df/dt at t = 3.

1458

1237

1332

1719

#59. [Control Systems] For unity-feedback type-0 system with open-loop DC gain K=8, unit-step steady-state error is:

0.111

0.091

0.084

0.127

#60. [Circuit Analysis] In an RL step response with V=35 V, R=13 Ω, L=0.136 H, find i(t) at t=0.029 s.

2.524

2.208

3.016

2.240

#61. [Digital Systems] In unsigned 4-bit arithmetic, adding 10 and 10 sets carry-out flag to:

undefined

depends on signed interpretation

0

1

#62. [Circuit Analysis] A branch dissipates 540 W with RMS current 5.81 A. Equivalent resistance is:

15.997

18.998

14.501

18.371

#63. [Circuit Analysis] A branch dissipates 523 W with RMS current 3.29 A. Equivalent resistance is:

48.318

54.068

41.640

57.109

#64. [Computer Networks] A router has routes 10.2.0.0/16, 10.2.32.0/19, and 10.2.32.128/25. Packet to 10.2.32.200 follows which route?

10.2.32.128/25 (longest-prefix match)

Default route only

10.2.0.0/16

10.2.32.0/19

#65. [Properties of Electrical Materials] A package heat spreader has k=215.9 W/m·K, area=0.00e+00 m², thickness=0.042 m, ΔT=30 K. Heat flow is:

0.0 W

#66. [Probability and Statistics] A lot has independent defect probability 0.03 per board. For 14 boards, what is P(at least 3 defect)?

0.010

0.008

0.006

0.007

#67. [Circuit Analysis] A current source 13 A feeds two parallel resistors 5 Ω and 12 Ω. Node voltage across them is:

52.597

45.882

50.839

42.611

#68. [Ethics and Professional Practice] On a substation relay upgrade, you identify an ungrounded metallic enclosure that poses a shock hazard. The correct professional action is:

Document the hazard, notify the authority in responsible charge, and stop affected work until corrected

Apply temporary insulation tape and continue the project

Note the hazard for the final report and continue working

Verbally inform a coworker and proceed with the schedule

#69. [Power] Ideal transformer with turns ratio Np:Ns=2:1 feeds load 31 Ω on secondary. Reflected primary impedance is:

99.60 Ω

140.46 Ω

145.25 Ω

124.00 Ω

#70. [Computer Systems and Software] Cache hit rate=0.94, hit time=1.82 ns, miss penalty=68.8 ns. AMAT is:

5.948 ns

7.106 ns

4.915 ns

6.437 ns

#71. [Ethics and Professional Practice] On a hospital backup generator project, a client requests you to seal calculations prepared by a junior engineer you have not supervised. The correct action is:

Seal the documents since a licensed engineer prepared the calculations

Decline to seal until you have responsible charge and sufficient independent verification

Seal the documents and add a disclaimer limiting your liability

Seal the documents after a brief review of the executive summary

#72. [Properties of Electrical Materials] A conductor has resistivity 0.00e+00 Ω·m at 20°C and temperature coefficient 0.0043/°C. Estimate resistivity at 62°C.

0.00e+00 Ω·m

#73. [Control Systems] For unity-feedback type-0 system with open-loop DC gain K=20, unit-step steady-state error is:

0.038

0.034

0.036

0.048

#74. [Circuit Analysis] Node A is connected to 15 V through 7 Ω and to 21 V through 8 Ω. What is node voltage VA?

19.5

17.8

15.9

19.3

#75. [Digital Systems] Pipeline stage has tCQ=2.52 ns, combinational delay=6.32 ns, setup=1.24 ns. Max clock frequency is:

81.6 MHz

112.8 MHz

99.2 MHz

86.3 MHz

#76. [Digital Systems] Pipeline stage has tCQ=2.67 ns, combinational delay=3.33 ns, setup=2.3 ns. Max clock frequency is:

103.6 MHz

100.8 MHz

109.1 MHz

120.5 MHz

#77. [Electromagnetics] For a long straight conductor carrying 96 A, magnetic flux density at radius 0.016 m is:

1.00e-03 T

2.00e-03 T

1.20e-03 T

#78. [Computer Networks] Ignoring loss, TCP throughput with receive window 64 kB and RTT 50 ms is approximately:

8.126 Mb/s

8.468 Mb/s

10.240 Mb/s

9.270 Mb/s

#79. [Engineering Sciences] A dielectric coolant (ρ=1023.4 kg/m³, μ=1.33e-03 Pa·s) flows at 2.95 m/s through a pipe of diameter 0.071 m. Reynolds number is:

132793.4

161166.3

187081.4

192205.2

#80. [Electronics] An ideal 10-bit ADC with Vref=5.0 V measures Vin=4.224 V. Output code is closest to:

865

831

842

886

#81. [Signal Processing] For an ideal 12-bit ADC, quantization-limited SQNR is closest to:

74 dB

68 dB

79 dB

80 dB

#82. [Engineering Economics] Compute capital recovery (EUAC) for P=$110,719, S=$17,861, n=5 years, i=8%.

28472.8 USD/yr

24685.8 USD/yr

27803.3 USD/yr

21493.6 USD/yr

#83. [Engineering Economics] What present value is equivalent to a future replacement cost of $44,502 in 5 years at i=12%?

21106.7 USD

21672.0 USD

28782.2 USD

25251.6 USD

#84. [Computer Networks] For IPv4 subnet /26, how many usable host addresses are available?

62

64

69

59

#85. [Signal Processing] A first-order analog low-pass has cutoff 5000 Hz. At cutoff frequency, output magnitude relative to passband is:

-3 dB (approximately 0.707 of passband amplitude)

-1 dB (approximately 0.89 of passband amplitude)

-6 dB (approximately 0.5 of passband amplitude)

0 dB (full passband amplitude)

#86. [Mathematics] An engineer linearizes a calibration model and obtains equations 7x + 2y = 57 and 1x + 5y = 23. What is x?

6.485

6.026

8.653

7.242

#87. [Mathematics] A phasor is V = 10 + j2. What is |V|?

10.198

8.843

10.874

11.605

#88. [Engineering Economics] A retrofit costs $143,596 now and saves $24,002/year for 12 years. At MARR = 12%, NPV is:

4246.3 USD

6013.1 USD

5081.4 USD

6167.4 USD

#89. [Power] Ideal transformer with turns ratio Np:Ns=2:3 feeds load 16 Ω on secondary. Reflected primary impedance is:

8.73 Ω

7.11 Ω

8.29 Ω

5.90 Ω

#90. [Mathematics] A phasor is V = 5 + j10. What is |V|?

12.172

13.181

10.317

11.180

#91. [Linear Systems] For G(s)=1/(s+8), unit-step response final value is:

0.1384

0.1250

0.1432

0.1609

#92. [Electromagnetics] Transmission line has Z0=33 Ω and load ZL=77 Ω (real). Reflection coefficient Γ is:

0.483

0.306

0.287

0.400

#93. [Electronics] Ideal inverting op-amp with Rin=16 kΩ, Rf=106 kΩ, Vin=0.353 V. Output is:

-2.691 V

-1.833 V

-2.069 V

-2.339 V

#94. [Electromagnetics] If electric field changes at dE/dt=7.95e+06 V/m·s in a dielectric with permittivity ε=0.00e+00 F/m, displacement current density is:

0.00e+00 A/m²

#95. [Electronics] A silicon diode has Vf=0.7 V at 25°C with temperature coefficient −2 mV/°C. Approximate Vf at 116°C is:

0.477 V

0.518 V

0.563 V

0.545 V

#96. [Signal Processing] For FIR filter y[n]=x[n]+0.34x[n-1]+0.33x[n-2], with x[0]=3, x[1]=4, x[2]=2, find y[2].

3.50

4.35

4.92

4.86

#97. [Mathematics] An engineer linearizes a calibration model and obtains equations 3x + 1y = 16 and 1x + 4y = 34. What is x?

3.174

2.330

2.492

2.727

#98. [Computer Systems and Software] Worst-case comparisons for binary search on sorted array of size 4096 are closest to:

11

12

13

14

#99. [Linear Systems] For low-pass H(jω)=1/(1+jωτ) with τ=0.689 s, find |H(jω)| at ω=4 rad/s.

0.309

0.278

0.390

0.341

#100. [Circuit Analysis] A Thevenin source Vth=22 V with Rth=19 Ω feeds RL=6 Ω. Load current is:

1.036

0.880

1.011

0.764

#101. [Mathematics] Compute the integral ∫_2^5 x^3 dx.

152.2

180.4

174.0

165.9

#102. [Electronics] Half-wave rectifier with peak input 25 V, diode drop 0.7 V, RL=1159 Ω. Approximate average DC current is:

6.124 mA

7.532 mA

6.674 mA

5.702 mA

#103. [Properties of Electrical Materials] Estimate skin depth δ for a conductor with σ=3.39e+07 S/m, μr=100, at f=10000 Hz.

0.00e+00 m

8.65e-05 m

0.00e+00 m

#104. [Signal Processing] A tone at 10643 Hz is sampled at fs=12000 Hz. Observed baseband alias frequency is:

1561 Hz

1357 Hz

1556 Hz

1160 Hz

#105. [Circuit Analysis] A branch dissipates 114 W with RMS current 1.13 A. Equivalent resistance is:

100.824

102.466

78.047

89.279

#106. [Ethics and Professional Practice] A colleague asks you to provide a professional reference overstating their experience on power systems projects to help them obtain a contract. The correct action is:

Decline and only provide an honest, accurate representation of their qualifications

Provide the reference but add subtle caveats the reviewer will notice

Agree to provide the reference if the colleague does the same for you

Provide the reference since exaggeration is common in competitive bidding

#107. [Power] A balanced 3-phase load consumes 452 kW at 430 V line-line and pf=0.81 lagging. Line current is:

641.4 A

861.9 A

749.2 A

797.3 A

#108. [Mathematics] In a fully connected sensor graph with 5 nodes, how many unique undirected links exist?

13

15

7

10

#109. [Digital Systems] Pipeline stage has tCQ=1.1 ns, combinational delay=3.84 ns, setup=2.0 ns. Max clock frequency is:

128.5 MHz

119.1 MHz

144.1 MHz

156.0 MHz

#110. [Power] A component has reactance 0.175 pu on 100 MVA base (same kV base). On 75 MVA base, reactance is:

0.159 pu

0.155 pu

0.131 pu

0.161 pu

ARE YOU READY?

LET’S PRACTICE!

Results

#1. [Computer Systems and Software] Which data structure gives O(1) average-time lookup for symbol tables while allowing dynamic insertion?

#2. [Control Systems] A standard 2nd-order closed-loop system has damping ratio ζ=0.39. Percent overshoot is:

#3. [Probability and Statistics] Sum of 4 independent variables, each with mean 7 and std dev 5. Standard deviation of the sum is:

#4. [Control Systems] For characteristic equation s^2 + 5s + 2=0, which range of k ensures stability?

#5. [Digital Systems] In unsigned 4-bit arithmetic, adding 11 and 8 sets carry-out flag to:

#6. [Computer Networks] Ignoring loss, TCP throughput with receive window 128 kB and RTT 50 ms is approximately:

#7. [Communications] In M-ary digital modulation, what is the trade-off when increasing the modulation order M?

#8. [Communications] For an AM wave, envelope Vmax=7.86 and Vmin=0.36. Modulation index m is:

#9. [Communications] For M-ary signaling with M=16 and bit rate 100 kb/s, symbol rate is:

#10. [Engineering Sciences] A vibration-sensitive electronics tray is modeled as an underdamped SDOF system with m=0.95 kg, damping ratio ζ=0.23, and natural frequency ωn=34.97 rad/s. What is the damped natural frequency ωd?

#11. [Engineering Economics] For a test fixture: fixed cost $118,191, unit price $146, variable cost $32. Breakeven quantity is:

#12. [Circuit Analysis] A Thevenin source Vth=31 V with Rth=9 Ω feeds RL=8 Ω. Load current is:

#13. [Power] At a 27 kV bus with Thevenin reactance 0.428 Ω (line-line basis), 3-phase bolted fault current is:

#14. [Mathematics] Compute the integral ∫_1^6 x^2 dx.

#15. [Electronics] Using square-law saturation model Id=0.5k(VGS−VT)^2, find Id for k=0.0017 A/V², VGS=2.27 V, VT=1.05 V.

#16. [Power] Transformer no-load secondary voltage is 126 V and full-load is 124 V. Voltage regulation is:

#17. [Power] A balanced 3-phase load consumes 469 kW at 244 V line-line and pf=0.94 lagging. Line current is:

#18. [Probability and Statistics] Assuming normal process variation with mean 112 and std dev 16, what is the 95th percentile?

#19. [Control Systems] A loop has crossover ωc=11.7 rad/s and phase margin 63.3°. Which interpretation is correct?

#20. [Mathematics] For first-order decay dy/dt = -7y with y(0)=1, find y(0.37 s).

#21. [Control Systems] A loop has crossover ωc=17.2 rad/s and phase margin 69.2°. Which interpretation is correct?

#22. [Communications] Using Shannon capacity C = B log2(1+SNR), with B=7.9 MHz and linear SNR=50, capacity is:

#23. [Circuit Analysis] An AC source of 205 Vrms drives impedance Z = 8 + j10 Ω. RMS current magnitude is:

#24. [Mathematics] For first-order decay dy/dt = -3y with y(0)=1, find y(0.33 s).

#25. [Linear Systems] For system y” + 8y’ + 1y = u(t), which statement about stability is true?

#26. [Circuit Analysis] An AC source of 131 Vrms drives impedance Z = 19 + j16 Ω. RMS current magnitude is:

#27. [Ethics and Professional Practice] On a solar farm commissioning, field staff are bypassing arc-flash PPE requirements to meet the deadline. The correct action is:

#28. [Electromagnetics] Transmission line has Z0=70 Ω and load ZL=78 Ω (real). Reflection coefficient Γ is:

#29. [Mathematics] For first-order decay dy/dt = -8y with y(0)=1, find y(0.83 s).

#30. [Probability and Statistics] A lot has independent defect probability 0.02 per board. For 6 boards, what is P(at least 3 defect)?

#31. [Ethics and Professional Practice] On a municipal water-treatment SCADA project, you still have access to proprietary firmware from a former employer. The correct action is:

#32. [Engineering Sciences] A busbar support bracket experiences elastic strain 1232 με. Assuming Young’s modulus E = 208.3 GPa, stress is:

#33. [Mathematics] Evaluate Re(e^(j2t)) at t = 1.26 s.

#34. [Circuit Analysis] Node A is connected to 19 V through 8 Ω and to 14 V through 7 Ω. What is node voltage VA?

#35. [Linear Systems] A transfer function has poles at s=-2.42 and s=-15.79. Dominant time constant is:

#36. [Electronics] Ideal inverting op-amp with Rin=15 kΩ, Rf=49 kΩ, Vin=0.119 V. Output is:

#37. [Mathematics] An engineer linearizes a calibration model and obtains equations 2x + 4y = 19 and 1x + 6y = 23. What is x?

#38. [Computer Systems and Software] A 32-bit, direct-mapped cache has 512 sets and 128-byte blocks. Tag bits per line are:

#39. [Linear Systems] For a 2nd-order system with damping ratio ζ=0.61 and ωn=7.51 rad/s, estimate 2% settling time.

#40. [Engineering Sciences] For coupled electro-thermal design, which modeling approach most directly captures bidirectional coupling?

#41. [Circuit Analysis] In an RL step response with V=40 V, R=28 Ω, L=0.228 H, find i(t) at t=0.016 s.

#42. [Engineering Economics] A public project has PV of benefits = $293,489 and PV of costs = $394,837. Benefit-cost ratio is:

#43. [Electronics] A BJT in active mode has β=80 and base current 105.5 µA. Collector current is closest to:

#44. [Communications] A TDM PCM system multiplexes 23 channels, each sampled at 16000 Hz with 10 bits/sample. Total data rate is:

#45. [Digital Systems] In unsigned 4-bit arithmetic, adding 13 and 13 sets carry-out flag to:

#46. [Electromagnetics] For a long straight conductor carrying 90 A, magnetic flux density at radius 0.026 m is:

#47. [Control Systems] A standard 2nd-order closed-loop system has damping ratio ζ=0.48. Percent overshoot is:

#48. [Power] A 2-pole induction motor on 60 Hz runs at 3560 rpm. Rotor current frequency is closest to:

#49. [Signal Processing] For y[n]=0.4y[n-1]+(-0.12)y[n-2]+x[n], which is correct?

#50. [Properties of Electrical Materials] A 1.4 mm insulation layer withstands 29814 V. The electric field stress is:

#51. [Electromagnetics] For a lossless medium with εr=5.5 and μr=1.0, intrinsic impedance η is:

#52. [Engineering Sciences] Cooling air for a power converter has mass flow 0.068 kg/s and specific heat cp=1010 J/(kg·K). With ΔT = 60 K, heat removed is:

#53. [Circuit Analysis] A current source 12 A feeds two parallel resistors 4 Ω and 8 Ω. Node voltage across them is:

#54. [Digital Systems] In unsigned 4-bit arithmetic, adding 14 and 6 sets carry-out flag to:

#55. [Mathematics] In a fully connected sensor graph with 11 nodes, how many unique undirected links exist?

#56. [Digital Systems] Pipeline stage has tCQ=2.07 ns, combinational delay=3.57 ns, setup=2.11 ns. Max clock frequency is:

#57. [Probability and Statistics] Assuming normal process variation with mean 88 and std dev 12, what is the 95th percentile?

#58. [Mathematics] For f(t) = t^6 – t^2 + 6t, evaluate df/dt at t = 3.

#59. [Control Systems] For unity-feedback type-0 system with open-loop DC gain K=8, unit-step steady-state error is:

#60. [Circuit Analysis] In an RL step response with V=35 V, R=13 Ω, L=0.136 H, find i(t) at t=0.029 s.

#61. [Digital Systems] In unsigned 4-bit arithmetic, adding 10 and 10 sets carry-out flag to:

#62. [Circuit Analysis] A branch dissipates 540 W with RMS current 5.81 A. Equivalent resistance is:

#63. [Circuit Analysis] A branch dissipates 523 W with RMS current 3.29 A. Equivalent resistance is:

#64. [Computer Networks] A router has routes 10.2.0.0/16, 10.2.32.0/19, and 10.2.32.128/25. Packet to 10.2.32.200 follows which route?

#65. [Properties of Electrical Materials] A package heat spreader has k=215.9 W/m·K, area=0.00e+00 m², thickness=0.042 m, ΔT=30 K. Heat flow is:

#66. [Probability and Statistics] A lot has independent defect probability 0.03 per board. For 14 boards, what is P(at least 3 defect)?

#67. [Circuit Analysis] A current source 13 A feeds two parallel resistors 5 Ω and 12 Ω. Node voltage across them is:

#68. [Ethics and Professional Practice] On a substation relay upgrade, you identify an ungrounded metallic enclosure that poses a shock hazard. The correct professional action is:

#69. [Power] Ideal transformer with turns ratio Np:Ns=2:1 feeds load 31 Ω on secondary. Reflected primary impedance is:

#70. [Computer Systems and Software] Cache hit rate=0.94, hit time=1.82 ns, miss penalty=68.8 ns. AMAT is:

#71. [Ethics and Professional Practice] On a hospital backup generator project, a client requests you to seal calculations prepared by a junior engineer you have not supervised. The correct action is:

#72. [Properties of Electrical Materials] A conductor has resistivity 0.00e+00 Ω·m at 20°C and temperature coefficient 0.0043/°C. Estimate resistivity at 62°C.

#73. [Control Systems] For unity-feedback type-0 system with open-loop DC gain K=20, unit-step steady-state error is:

#74. [Circuit Analysis] Node A is connected to 15 V through 7 Ω and to 21 V through 8 Ω. What is node voltage VA?

#75. [Digital Systems] Pipeline stage has tCQ=2.52 ns, combinational delay=6.32 ns, setup=1.24 ns. Max clock frequency is:

#76. [Digital Systems] Pipeline stage has tCQ=2.67 ns, combinational delay=3.33 ns, setup=2.3 ns. Max clock frequency is:

#77. [Electromagnetics] For a long straight conductor carrying 96 A, magnetic flux density at radius 0.016 m is: