FE ELECTRICAL – SEVENTH SIMULATION

#1. [Power] A balanced 3-phase load consumes 240 kW at 213 V line-line and pf=0.95 lagging. Line current is:

772.4 A

578.8 A

684.8 A

631.5 A

#2. [Digital Systems] In unsigned 4-bit arithmetic, adding 8 and 13 sets carry-out flag to:

undefined

1

0

depends on signed interpretation

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

Independent electrical and thermal solutions combined at the end

Monte Carlo sampling of temperature-dependent parameters

Single thermal simulation with fixed electrical parameters

Iterative multiphysics solution that updates electrical parameters with temperature each step

#4. [Circuit Analysis] An AC source of 219 Vrms drives impedance Z = 8 + j16 Ω. RMS current magnitude is:

10.108

9.629

11.139

12.242

#5. [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 since exaggeration is common in competitive bidding

Provide the reference but add subtle caveats the reviewer will notice

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

#6. [Linear Systems] A transfer function has poles at s=-5.17 and s=-13.89. Dominant time constant is:

0.145 s

0.193 s

0.224 s

0.154 s

#7. [Electromagnetics] If electric field changes at dE/dt=6.42e+06 V/m·s in a dielectric with permittivity ε=0.00e+00 F/m, displacement current density is:

0.00e+00 A/m²

#8. [Properties of Electrical Materials] A package heat spreader has k=222.9 W/m·K, area=0.00e+00 m², thickness=0.026 m, ΔT=27 K. Heat flow is:

0.0 W

#9. [Engineering Economics] A retrofit costs $233,246 now and saves $44,951/year for 12 years. At MARR = 12%, NPV is:

34519.3 USD

50656.3 USD

40160.0 USD

45197.3 USD

#10. [Circuit Analysis] A current source 11 A feeds two parallel resistors 10 Ω and 11 Ω. Node voltage across them is:

67.032

57.619

64.925

61.789

#11. [Power] Ideal transformer with turns ratio Np:Ns=1:2 feeds load 46 Ω on secondary. Reflected primary impedance is:

12.44 Ω

11.50 Ω

9.87 Ω

13.11 Ω

#12. [Control Systems] A loop has crossover ωc=34.2 rad/s and phase margin 53.5°. Which interpretation is correct?

The system is marginally stable and requires gain reduction

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

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

Linked list

Sorted array

Balanced BST

Hash table

#14. [Control Systems] A standard 2nd-order closed-loop system has damping ratio ζ=0.49. Percent overshoot is:

19.966 %

12.213 %

17.103 %

12.829 %

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

30.000

27.334

34.229

25.120

#16. [Power] At a 24 kV bus with Thevenin reactance 0.464 Ω (line-line basis), 3-phase bolted fault current is:

29862.9 A

35153.5 A

24181.2 A

33776.9 A

#17. [Signal Processing] A first-order analog low-pass has cutoff 800 Hz. At cutoff frequency, output magnitude relative to passband is:

0 dB (full passband amplitude)

-6 dB (approximately 0.5 of passband amplitude)

-1 dB (approximately 0.89 of passband amplitude)

-3 dB (approximately 0.707 of passband amplitude)

#18. [Digital Systems] In unsigned 4-bit arithmetic, adding 10 and 7 sets carry-out flag to:

0

undefined

1

depends on signed interpretation

#19. [Engineering Sciences] A vibration-sensitive electronics tray is modeled as an underdamped SDOF system with m=4.01 kg, damping ratio ζ=0.34, and natural frequency ωn=16.09 rad/s. What is the damped natural frequency ωd?

16.688 rad/s

17.343 rad/s

15.131 rad/s

13.383 rad/s

#20. [Communications] A TDM PCM system multiplexes 27 channels, each sampled at 16000 Hz with 10 bits/sample. Total data rate is:

4.297 Mb/s

4.320 Mb/s

4.968 Mb/s

4.365 Mb/s

#21. [Properties of Electrical Materials] A 1.3 mm insulation layer withstands 13007 V. The electric field stress is:

11388682.4 V/m

10005384.6 V/m

8349620.5 V/m

12118823.0 V/m

#22. [Mathematics] Compute the integral ∫_1^4 x^3 dx.

77.3

50.8

63.8

70.1

#23. [Ethics and Professional Practice] On an industrial motor control center installation, you discover that the specified breakers are underrated for the available fault current. The correct action is:

Install the breakers and note the discrepancy in the as-built drawings

Stop installation, document the finding, and require an engineering revision before proceeding

Add supplemental fuses downstream to compensate for the underrated breakers

Proceed with installation since the breakers were specified by the design engineer

#24. [Digital Systems] Pipeline stage has tCQ=1.05 ns, combinational delay=6.5 ns, setup=0.96 ns. Max clock frequency is:

138.3 MHz

94.8 MHz

127.2 MHz

117.5 MHz

#25. [Circuit Analysis] A branch dissipates 261 W with RMS current 5.87 A. Equivalent resistance is:

7.575

6.422

8.968

8.333

#26. [Power] Transformer no-load secondary voltage is 123 V and full-load is 113 V. Voltage regulation is:

7.8 %

10.6 %

8.8 %

6.8 %

#27. [Communications] Using Shannon capacity C = B log2(1+SNR), with B=7.0 MHz and linear SNR=25, capacity is:

27.952 Mb/s

38.634 Mb/s

32.903 Mb/s

37.458 Mb/s

#28. [Computer Networks] For IPv4 subnet /24, how many usable host addresses are available?

263

254

256

252

#29. [Electronics] A silicon diode has Vf=0.7 V at 25°C with temperature coefficient −2 mV/°C. Approximate Vf at 78°C is:

0.594 V

0.523 V

0.538 V

0.627 V

#30. [Probability and Statistics] A lot has independent defect probability 0.02 per board. For 11 boards, what is P(at least 3 defect)?

0.001

#31. [Mathematics] A phasor is V = 7 + j10. What is |V|?

12.207

10.028

11.453

10.194

#32. [Engineering Sciences] Cooling air for a power converter has mass flow 0.073 kg/s and specific heat cp=1010 J/(kg·K). With ΔT = 55 K, heat removed is:

4857.3 W

4055.1 W

3643.9 W

3721.9 W

#33. [Control Systems] For characteristic equation s^2 + 6s + 5=0, which range of k ensures stability?

k > 30

All values of k

k > 0

k < 0

#34. [Probability and Statistics] Assuming normal process variation with mean 145 and std dev 11, what is the 95th percentile?

177.5

163.1

184.8

149.1

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

14

10

9

15

#36. [Engineering Sciences] A busbar support bracket experiences elastic strain 716 με. Assuming Young’s modulus E = 176.6 GPa, stress is:

104.2 MPa

134.8 MPa

126.4 MPa

109.2 MPa

#37. [Signal Processing] For FIR filter y[n]=x[n]+0.48x[n-1]+0.44x[n-2], with x[0]=7, x[1]=3, x[2]=1, find y[2].

6.04

5.52

6.71

6.24

#38. [Properties of Electrical Materials] Estimate skin depth δ for a conductor with σ=1.79e+07 S/m, μr=1, at f=10000 Hz.

2.00e-03 m

1.00e-03 m

1.19e-03 m

1.00e-03 m

#39. [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

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

Allow temporary bypass with verbal risk acceptance from the crew

Suspend the task and enforce required safety controls before restarting

#40. [Electromagnetics] For a long straight conductor carrying 99 A, magnetic flux density at radius 0.034 m is:

0.00e+00 T

1.00e-03 T

5.82e-04 T

0.00e+00 T

#41. [Mathematics] An engineer linearizes a calibration model and obtains equations 7x + 2y = 35 and 5x + 2y = 28. What is x?

3.500

4.068

2.808

3.946

#42. [Communications] For M-ary signaling with M=4 and bit rate 200 kb/s, symbol rate is:

105 ksym/s

200 ksym/s

90 ksym/s

100 ksym/s

#43. [Properties of Electrical Materials] A conductor has resistivity 0.00e+00 Ω·m at 20°C and temperature coefficient 0.0048/°C. Estimate resistivity at 62°C.

0.00e+00 Ω·m

#44. [Electronics] Ideal inverting op-amp with Rin=19 kΩ, Rf=93 kΩ, Vin=0.492 V. Output is:

-1.992 V

-2.716 V

-2.801 V

-2.408 V

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

1554

1307

1454

1593

#46. [Electronics] Using square-law saturation model Id=0.5k(VGS−VT)^2, find Id for k=0.0024 A/V², VGS=3.35 V, VT=0.55 V.

10.738 mA

9.408 mA

11.407 mA

10.257 mA

#47. [Power] A component has reactance 0.116 pu on 100 MVA base (same kV base). On 75 MVA base, reactance is:

0.098 pu

0.107 pu

0.094 pu

0.087 pu

#48. [Control Systems] A standard 2nd-order closed-loop system has damping ratio ζ=0.61. Percent overshoot is:

8.906 %

7.573 %

9.943 %

7.175 %

#49. [Electronics] A BJT in active mode has β=84 and base current 120.7 µA. Collector current is closest to:

11.475 mA

11.020 mA

10.139 mA

8.789 mA

#50. [Circuit Analysis] A branch dissipates 60 W with RMS current 5.51 A. Equivalent resistance is:

1.636

1.699

1.976

2.326

#51. [Mathematics] For first-order decay dy/dt = -3y with y(0)=1, find y(0.23 s).

0.446

0.430

0.571

0.502

#52. [Control Systems] For unity-feedback type-0 system with open-loop DC gain K=14, unit-step steady-state error is:

0.058

0.083

0.085

0.067

#53. [Probability and Statistics] Assuming normal process variation with mean 113 and std dev 11, what is the 95th percentile?

114.1

143.8

131.1

122.1

#54. [Probability and Statistics] A lot has independent defect probability 0.03 per board. For 7 boards, what is P(at least 2 defect)?

0.012

0.013

0.017

0.022

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

72 dB

74 dB

82 dB

78 dB

#56. [Mathematics] For first-order decay dy/dt = -8y with y(0)=1, find y(0.2 s).

0.202

0.248

0.168

0.241

#57. [Computer Systems and Software] A 32-bit, direct-mapped cache has 256 sets and 32-byte blocks. Tag bits per line are:

18

21

19

16

#58. [Electromagnetics] For a long straight conductor carrying 83 A, magnetic flux density at radius 0.031 m is:

1.00e-03 T

0.00e+00 T

5.35e-04 T

#59. [Digital Systems] In unsigned 4-bit arithmetic, adding 15 and 7 sets carry-out flag to:

depends on signed interpretation

undefined

0

1

#60. [Digital Systems] Pipeline stage has tCQ=1.64 ns, combinational delay=6.63 ns, setup=1.01 ns. Max clock frequency is:

92.1 MHz

107.8 MHz

84.6 MHz

124.3 MHz

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

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

Increasing M always improves both spectral efficiency and noise immunity

Higher M reduces the required SNR for a given BER

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

#62. [Computer Systems and Software] Worst-case comparisons for binary search on sorted array of size 1024 are closest to:

9

11

10

12

#63. [Circuit Analysis] An AC source of 189 Vrms drives impedance Z = 16 + j14 Ω. RMS current magnitude is:

9.618

7.576

8.890

9.896

#64. [Mathematics] An engineer linearizes a calibration model and obtains equations 5x + 4y = 42 and 4x + 4y = 39. What is x?

3.000

3.334

2.738

2.527

#65. [Signal Processing] For y[n]=0.2y[n-1]+(-0.36)y[n-2]+x[n], which is correct?

Cannot determine without input specification

Marginally stable (pole on unit circle)

BIBO stable (dominant poles inside unit circle)

BIBO unstable (pole outside unit circle)

#66. [Ethics and Professional Practice] On a data-center power upgrade, a supplier offers premium sports tickets while you are evaluating their bid. The correct action is:

Accept the tickets since they do not exceed company gift limits

Accept the tickets but recuse yourself from the final vendor decision

Accept the tickets as a professional courtesy and disclose to your manager

Decline the gift and keep procurement decisions objective and fully documented

#67. [Linear Systems] For system y” + 7y’ + 2y = u(t), which statement about stability is true?

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

Cannot determine without initial conditions

Unstable because the natural frequency is too high

Marginally stable with oscillatory response

#68. [Computer Networks] Ignoring loss, TCP throughput with receive window 32 kB and RTT 80 ms is approximately:

3.649 Mb/s

3.739 Mb/s

3.200 Mb/s

3.566 Mb/s

#69. [Circuit Analysis] In an RL step response with V=36 V, R=20 Ω, L=0.109 H, find i(t) at t=0.016 s.

2.028

2.093

1.704

1.405

#70. [Communications] For an AM wave, envelope Vmax=8.43 and Vmin=2.81. Modulation index m is:

0.500

0.576

0.588

0.430

#71. [Mathematics] Compute the integral ∫_0^7 x^2 dx.

114.3

96.6

132.3

139.0

#72. [Electromagnetics] Transmission line has Z0=32 Ω and load ZL=118 Ω (real). Reflection coefficient Γ is:

0.573

0.415

0.445

0.690

#73. [Probability and Statistics] Sum of 5 independent variables, each with mean 9 and std dev 3. Standard deviation of the sum is:

6.71

7.73

5.46

5.38

#74. [Digital Systems] Pipeline stage has tCQ=0.99 ns, combinational delay=7.75 ns, setup=2.43 ns. Max clock frequency is:

67.8 MHz

89.5 MHz

76.4 MHz

81.7 MHz

#75. [Linear Systems] For a 2nd-order system with damping ratio ζ=0.54 and ωn=5.86 rad/s, estimate 2% settling time.

1.264 s

1.029 s

1.135 s

1.085 s

#76. [Engineering Sciences] A dielectric coolant (ρ=944.1 kg/m³, μ=2.78e-03 Pa·s) flows at 0.62 m/s through a pipe of diameter 0.054 m. Reynolds number is:

10410.1

10178.2

11370.0

9475.2

#77. [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 and add a disclaimer limiting your liability

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

Seal the documents since a licensed engineer prepared the calculations

Seal the documents after a brief review of the executive summary

#78. [Power] A balanced 3-phase load consumes 426 kW at 368 V line-line and pf=0.9 lagging. Line current is:

697.7 A

742.6 A

623.2 A

688.7 A

#79. [Digital Systems] In unsigned 4-bit arithmetic, adding 8 and 14 sets carry-out flag to:

undefined

depends on signed interpretation

0

1

#80. [Engineering Economics] What present value is equivalent to a future replacement cost of $56,152 in 6 years at i=12%?

31477.0 USD

26476.8 USD

28448.4 USD

30169.4 USD

#81. [Electronics] An ideal 10-bit ADC with Vref=5.0 V measures Vin=3.628 V. Output code is closest to:

735

793

743

700

#82. [Power] Ideal transformer with turns ratio Np:Ns=3:1 feeds load 59 Ω on secondary. Reflected primary impedance is:

645.41 Ω

531.00 Ω

662.71 Ω

467.48 Ω

#83. [Mathematics] Evaluate Re(e^(j7t)) at t = 0.39 s.

-0.916

-0.699

-1.049

-1.170

#84. [Circuit Analysis] A Thevenin source Vth=43 V with Rth=18 Ω feeds RL=14 Ω. Load current is:

1.170

1.490

1.057

1.344

#85. [Circuit Analysis] In an RL step response with V=20 V, R=18 Ω, L=0.449 H, find i(t) at t=0.014 s.

0.529

0.477

0.369

0.363

#86. [Circuit Analysis] Node A is connected to 12 V through 7 Ω and to 12 V through 4 Ω. What is node voltage VA?

10.2

12.0

10.7

11.2

#87. [Computer Networks] Ignoring loss, TCP throughput with receive window 256 kB and RTT 80 ms is approximately:

31.221 Mb/s

29.640 Mb/s

22.514 Mb/s

25.600 Mb/s

#88. [Electromagnetics] For a lossless medium with εr=3.29 and μr=1.7, intrinsic impedance η is:

271.0 Ω

230.9 Ω

319.9 Ω

250.7 Ω

#89. [Mathematics] For first-order decay dy/dt = -3y with y(0)=1, find y(0.6 s).

0.130

0.165

0.205

0.135

#90. [Electromagnetics] Transmission line has Z0=38 Ω and load ZL=49 Ω (real). Reflection coefficient Γ is:

0.126

0.099

0.162

0.171

#91. [Mathematics] An engineer linearizes a calibration model and obtains equations 4x + 2y = 22 and 4x + 4y = 35. What is x?

2.643

1.890

2.575

2.250

#92. [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?

10.2.32.0/19

10.2.0.0/16

10.2.32.128/25 (longest-prefix match)

Default route only

#93. [Engineering Economics] Compute capital recovery (EUAC) for P=$120,005, S=$30,262, n=9 years, i=8%.

19725.5 USD/yr

14708.1 USD/yr

15256.2 USD/yr

16787.0 USD/yr

#94. [Signal Processing] A tone at 14144 Hz is sampled at fs=20000 Hz. Observed baseband alias frequency is:

5482 Hz

5856 Hz

6222 Hz

6092 Hz

#95. [Linear Systems] For G(s)=1/(s+5), unit-step response final value is:

0.2473

0.2000

0.2252

0.2362

#96. [Circuit Analysis] A Thevenin source Vth=48 V with Rth=20 Ω feeds RL=24 Ω. Load current is:

0.949

1.091

1.188

0.987

#97. [Circuit Analysis] Node A is connected to 19 V through 3 Ω and to 27 V through 8 Ω. What is node voltage VA?

24.8

21.2

18.3

17.4

#98. [Control Systems] A loop has crossover ωc=25.7 rad/s and phase margin 66.4°. 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

#99. [Electronics] Ideal inverting op-amp with Rin=18 kΩ, Rf=31 kΩ, Vin=0.351 V. Output is:

-0.657 V

-0.482 V

-0.496 V

-0.605 V

#100. [Linear Systems] For low-pass H(jω)=1/(1+jωτ) with τ=0.762 s, find |H(jω)| at ω=5 rad/s.

0.302

0.296

0.254

0.208

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

15

11

10

8

#102. [Electronics] Half-wave rectifier with peak input 13 V, diode drop 0.7 V, RL=709 Ω. Approximate average DC current is:

4.906 mA

4.476 mA

5.522 mA

6.559 mA

#103. [Circuit Analysis] A branch dissipates 280 W with RMS current 7.42 A. Equivalent resistance is:

4.253

5.510

5.086

5.797

#104. [Digital Systems] Pipeline stage has tCQ=1.38 ns, combinational delay=6.64 ns, setup=1.18 ns. Max clock frequency is:

133.0 MHz

134.3 MHz

118.8 MHz

108.7 MHz

#105. [Engineering Economics] A public project has PV of benefits = $318,187 and PV of costs = $306,952. Benefit-cost ratio is:

0.910

0.957

1.037

1.105

#106. [Mathematics] A phasor is V = 5 + j5. What is |V|?

5.864

6.373

7.071

7.796

#107. [Control Systems] For unity-feedback type-0 system with open-loop DC gain K=6, unit-step steady-state error is:

0.143

0.118

0.164

0.173

#108. [Engineering Economics] For a test fixture: fixed cost $103,158, unit price $105, variable cost $79. Breakeven quantity is:

3968 units

3823 units

4184 units

4761 units

#109. [Computer Systems and Software] Cache hit rate=0.97, hit time=2.14 ns, miss penalty=45.5 ns. AMAT is:

4.168 ns

3.505 ns

4.209 ns

2.852 ns

#110. [Power] A 4-pole induction motor on 60 Hz runs at 1762 rpm. Rotor current frequency is closest to:

1.577 Hz

1.634 Hz

1.455 Hz

1.267 Hz

ARE YOU READY?

LET’S PRACTICE!

Results

#1. [Power] A balanced 3-phase load consumes 240 kW at 213 V line-line and pf=0.95 lagging. Line current is:

#2. [Digital Systems] In unsigned 4-bit arithmetic, adding 8 and 13 sets carry-out flag to:

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

#4. [Circuit Analysis] An AC source of 219 Vrms drives impedance Z = 8 + j16 Ω. RMS current magnitude is:

#5. [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:

#6. [Linear Systems] A transfer function has poles at s=-5.17 and s=-13.89. Dominant time constant is:

#7. [Electromagnetics] If electric field changes at dE/dt=6.42e+06 V/m·s in a dielectric with permittivity ε=0.00e+00 F/m, displacement current density is:

#8. [Properties of Electrical Materials] A package heat spreader has k=222.9 W/m·K, area=0.00e+00 m², thickness=0.026 m, ΔT=27 K. Heat flow is:

#9. [Engineering Economics] A retrofit costs $233,246 now and saves $44,951/year for 12 years. At MARR = 12%, NPV is:

#10. [Circuit Analysis] A current source 11 A feeds two parallel resistors 10 Ω and 11 Ω. Node voltage across them is:

#11. [Power] Ideal transformer with turns ratio Np:Ns=1:2 feeds load 46 Ω on secondary. Reflected primary impedance is:

#12. [Control Systems] A loop has crossover ωc=34.2 rad/s and phase margin 53.5°. Which interpretation is correct?

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

#14. [Control Systems] A standard 2nd-order closed-loop system has damping ratio ζ=0.49. Percent overshoot is:

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

#16. [Power] At a 24 kV bus with Thevenin reactance 0.464 Ω (line-line basis), 3-phase bolted fault current is:

#17. [Signal Processing] A first-order analog low-pass has cutoff 800 Hz. At cutoff frequency, output magnitude relative to passband is:

#18. [Digital Systems] In unsigned 4-bit arithmetic, adding 10 and 7 sets carry-out flag to:

#19. [Engineering Sciences] A vibration-sensitive electronics tray is modeled as an underdamped SDOF system with m=4.01 kg, damping ratio ζ=0.34, and natural frequency ωn=16.09 rad/s. What is the damped natural frequency ωd?

#20. [Communications] A TDM PCM system multiplexes 27 channels, each sampled at 16000 Hz with 10 bits/sample. Total data rate is:

#21. [Properties of Electrical Materials] A 1.3 mm insulation layer withstands 13007 V. The electric field stress is:

#22. [Mathematics] Compute the integral ∫_1^4 x^3 dx.

#23. [Ethics and Professional Practice] On an industrial motor control center installation, you discover that the specified breakers are underrated for the available fault current. The correct action is:

#24. [Digital Systems] Pipeline stage has tCQ=1.05 ns, combinational delay=6.5 ns, setup=0.96 ns. Max clock frequency is:

#25. [Circuit Analysis] A branch dissipates 261 W with RMS current 5.87 A. Equivalent resistance is:

#26. [Power] Transformer no-load secondary voltage is 123 V and full-load is 113 V. Voltage regulation is:

#27. [Communications] Using Shannon capacity C = B log2(1+SNR), with B=7.0 MHz and linear SNR=25, capacity is:

#28. [Computer Networks] For IPv4 subnet /24, how many usable host addresses are available?

#29. [Electronics] A silicon diode has Vf=0.7 V at 25°C with temperature coefficient −2 mV/°C. Approximate Vf at 78°C is:

#30. [Probability and Statistics] A lot has independent defect probability 0.02 per board. For 11 boards, what is P(at least 3 defect)?

#31. [Mathematics] A phasor is V = 7 + j10. What is |V|?

#32. [Engineering Sciences] Cooling air for a power converter has mass flow 0.073 kg/s and specific heat cp=1010 J/(kg·K). With ΔT = 55 K, heat removed is:

#33. [Control Systems] For characteristic equation s^2 + 6s + 5=0, which range of k ensures stability?

#34. [Probability and Statistics] Assuming normal process variation with mean 145 and std dev 11, what is the 95th percentile?

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

#36. [Engineering Sciences] A busbar support bracket experiences elastic strain 716 με. Assuming Young’s modulus E = 176.6 GPa, stress is:

#37. [Signal Processing] For FIR filter y[n]=x[n]+0.48x[n-1]+0.44x[n-2], with x[0]=7, x[1]=3, x[2]=1, find y[2].

#38. [Properties of Electrical Materials] Estimate skin depth δ for a conductor with σ=1.79e+07 S/m, μr=1, at f=10000 Hz.

#39. [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:

#40. [Electromagnetics] For a long straight conductor carrying 99 A, magnetic flux density at radius 0.034 m is:

#41. [Mathematics] An engineer linearizes a calibration model and obtains equations 7x + 2y = 35 and 5x + 2y = 28. What is x?

#42. [Communications] For M-ary signaling with M=4 and bit rate 200 kb/s, symbol rate is:

#43. [Properties of Electrical Materials] A conductor has resistivity 0.00e+00 Ω·m at 20°C and temperature coefficient 0.0048/°C. Estimate resistivity at 62°C.

#44. [Electronics] Ideal inverting op-amp with Rin=19 kΩ, Rf=93 kΩ, Vin=0.492 V. Output is:

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

#46. [Electronics] Using square-law saturation model Id=0.5k(VGS−VT)^2, find Id for k=0.0024 A/V², VGS=3.35 V, VT=0.55 V.

#47. [Power] A component has reactance 0.116 pu on 100 MVA base (same kV base). On 75 MVA base, reactance is:

#48. [Control Systems] A standard 2nd-order closed-loop system has damping ratio ζ=0.61. Percent overshoot is:

#49. [Electronics] A BJT in active mode has β=84 and base current 120.7 µA. Collector current is closest to:

#50. [Circuit Analysis] A branch dissipates 60 W with RMS current 5.51 A. Equivalent resistance is:

#51. [Mathematics] For first-order decay dy/dt = -3y with y(0)=1, find y(0.23 s).

#52. [Control Systems] For unity-feedback type-0 system with open-loop DC gain K=14, unit-step steady-state error is:

#53. [Probability and Statistics] Assuming normal process variation with mean 113 and std dev 11, what is the 95th percentile?

#54. [Probability and Statistics] A lot has independent defect probability 0.03 per board. For 7 boards, what is P(at least 2 defect)?

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

#56. [Mathematics] For first-order decay dy/dt = -8y with y(0)=1, find y(0.2 s).

#57. [Computer Systems and Software] A 32-bit, direct-mapped cache has 256 sets and 32-byte blocks. Tag bits per line are:

#58. [Electromagnetics] For a long straight conductor carrying 83 A, magnetic flux density at radius 0.031 m is:

#59. [Digital Systems] In unsigned 4-bit arithmetic, adding 15 and 7 sets carry-out flag to:

#60. [Digital Systems] Pipeline stage has tCQ=1.64 ns, combinational delay=6.63 ns, setup=1.01 ns. Max clock frequency is:

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

#62. [Computer Systems and Software] Worst-case comparisons for binary search on sorted array of size 1024 are closest to:

#63. [Circuit Analysis] An AC source of 189 Vrms drives impedance Z = 16 + j14 Ω. RMS current magnitude is:

#64. [Mathematics] An engineer linearizes a calibration model and obtains equations 5x + 4y = 42 and 4x + 4y = 39. What is x?

#65. [Signal Processing] For y[n]=0.2y[n-1]+(-0.36)y[n-2]+x[n], which is correct?

#66. [Ethics and Professional Practice] On a data-center power upgrade, a supplier offers premium sports tickets while you are evaluating their bid. The correct action is:

#67. [Linear Systems] For system y” + 7y’ + 2y = u(t), which statement about stability is true?

#68. [Computer Networks] Ignoring loss, TCP throughput with receive window 32 kB and RTT 80 ms is approximately:

#69. [Circuit Analysis] In an RL step response with V=36 V, R=20 Ω, L=0.109 H, find i(t) at t=0.016 s.

#70. [Communications] For an AM wave, envelope Vmax=8.43 and Vmin=2.81. Modulation index m is:

#71. [Mathematics] Compute the integral ∫_0^7 x^2 dx.

#72. [Electromagnetics] Transmission line has Z0=32 Ω and load ZL=118 Ω (real). Reflection coefficient Γ is:

#73. [Probability and Statistics] Sum of 5 independent variables, each with mean 9 and std dev 3. Standard deviation of the sum is:

#74. [Digital Systems] Pipeline stage has tCQ=0.99 ns, combinational delay=7.75 ns, setup=2.43 ns. Max clock frequency is:

#75. [Linear Systems] For a 2nd-order system with damping ratio ζ=0.54 and ωn=5.86 rad/s, estimate 2% settling time.

#76. [Engineering Sciences] A dielectric coolant (ρ=944.1 kg/m³, μ=2.78e-03 Pa·s) flows at 0.62 m/s through a pipe of diameter 0.054 m. Reynolds number is:

#77. [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: