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LevelFE — Electrical & Computer
SubjectFE — Electrical & Computer
Year2025 BS
Exam sessionModel questions
Full marks110
Time allowed360 minutes
Questions10, all with step-by-step solutions
A

Electrical & Computer Engineering

Select the best answer.

10 questions·1 mark each
1Multiple choice1 mark

Three resistors R1=10ΩR_1 = 10\,\Omega, R2=20ΩR_2 = 20\,\Omega, R3=30ΩR_3 = 30\,\Omega in parallel. Equivalent resistance:

1Req=1R1+1R2+1R3\frac{1}{R_{eq}} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3}
  • a

    5.45Ω5.45\,\Omega

  • b

    10.0Ω10.0\,\Omega

  • c

    20.0Ω20.0\,\Omega

  • d

    60.0Ω60.0\,\Omega

Correct answer: a

5.45Ω5.45\,\Omega

1Req=6+3+260=1160Req=60115.45Ω\frac{1}{R_{eq}} = \frac{6+3+2}{60} = \frac{11}{60} \Rightarrow R_{eq} = \frac{60}{11} \approx 5.45\,\Omega
circuit-analysis
2Multiple choice1 mark

Long straight conductor, I=10AI = 10\,\text{A}, distance r=0.05mr = 0.05\,\text{m}. Magnetic field intensity:

H=I2πrH = \frac{I}{2\pi r}
  • a

    15.9A/m15.9\,\text{A/m}

  • b

    31.8A/m31.8\,\text{A/m}

  • c

    63.7A/m63.7\,\text{A/m}

  • d

    100.0A/m100.0\,\text{A/m}

Correct answer: b

31.8A/m31.8\,\text{A/m}

H=102π×0.05=31.83A/mH = \frac{10}{2\pi \times 0.05} = 31.83\,\text{A/m}
electromagnetics
3Multiple choice1 mark

Signal sampled at fs=8,000Hzf_s = 8{,}000\,\text{Hz}. By Nyquist theorem, maximum representable frequency is:

  • a

    2,000Hz2{,}000\,\text{Hz}

  • b

    4,000Hz4{,}000\,\text{Hz}

  • c

    8,000Hz8{,}000\,\text{Hz}

  • d

    16,000Hz16{,}000\,\text{Hz}

Correct answer: b

4,000Hz4{,}000\,\text{Hz}

fmax=fs2=8,0002=4,000Hzf_{\max} = \frac{f_s}{2} = \frac{8{,}000}{2} = 4{,}000\,\text{Hz}
signal-processing
4Multiple choice1 mark

The Boolean expression AB\overline{A \cdot B} is equivalent to (De Morgan's theorem):

  • a

    A+BA + B

  • b

    A+B\overline{A} + \overline{B}

  • c

    AB\overline{A} \cdot \overline{B}

  • d

    ABA \cdot B

Correct answer: b

A+B\overline{A} + \overline{B}

De Morgan's theorem: AB=A+B\overline{A \cdot B} = \overline{A} + \overline{B}. The complement of AND is the OR of the complements.

digital-systems
5Multiple choice1 mark

Single-phase load: P=5kWP = 5\,\text{kW}, pf=0.8\text{pf} = 0.8 lagging, V=240VV = 240\,\text{V}. Apparent power and current:

S=P/pf,I=S/VS = P/\text{pf}, \quad I = S/V
  • a

    S=5.0kVAS = 5.0\,\text{kVA}, I=20.8AI = 20.8\,\text{A}

  • b

    S=6.25kVAS = 6.25\,\text{kVA}, I=26.0AI = 26.0\,\text{A}

  • c

    S=4.0kVAS = 4.0\,\text{kVA}, I=16.7AI = 16.7\,\text{A}

  • d

    S=8.0kVAS = 8.0\,\text{kVA}, I=33.3AI = 33.3\,\text{A}

Correct answer: b

S=6.25kVAS = 6.25\,\text{kVA}, I=26.0AI = 26.0\,\text{A}

S=5000/0.8=6250VA=6.25kVAS = 5000/0.8 = 6250\,\text{VA} = 6.25\,\text{kVA} I=6250/240=26.0AI = 6250/240 = 26.0\,\text{A}
power-systems
6Multiple choice1 mark

Inverting op-amp: Rf=100kΩR_f = 100\,\text{k}\Omega, Rin=10kΩR_{in} = 10\,\text{k}\Omega. Closed-loop gain:

Av=Rf/RinA_v = -R_f/R_{in}
  • a

    5-5

  • b

    10-10

  • c

    20-20

  • d

    +10+10

Correct answer: b

10-10

Av=100/10=10A_v = -100/10 = -10

Negative sign indicates phase inversion.

electronics
7Multiple choice1 mark

Transfer function G(s)=25s2+6s+25G(s) = \frac{25}{s^2 + 6s + 25}. Natural frequency ωn\omega_n and damping ratio ζ\zeta:

ωn2=25,2ζωn=6\omega_n^2 = 25,\quad 2\zeta\omega_n = 6
  • a

    ωn=5rad/s\omega_n = 5\,\text{rad/s}, ζ=0.6\zeta = 0.6

  • b

    ωn=25rad/s\omega_n = 25\,\text{rad/s}, ζ=0.3\zeta = 0.3

  • c

    ωn=5rad/s\omega_n = 5\,\text{rad/s}, ζ=1.2\zeta = 1.2

  • d

    ωn=6rad/s\omega_n = 6\,\text{rad/s}, ζ=0.5\zeta = 0.5

Correct answer: a

ωn=5rad/s\omega_n = 5\,\text{rad/s}, ζ=0.6\zeta = 0.6

ωn=25=5,ζ=6/(2×5)=0.6\omega_n = \sqrt{25} = 5,\quad \zeta = 6/(2\times 5) = 0.6

Underdamped system (0<ζ<10 < \zeta < 1).

control-systems
8Multiple choice1 mark

Series RLC: R=100ΩR = 100\,\Omega, L=0.1HL = 0.1\,\text{H}, C=10μFC = 10\,\mu\text{F}. Resonant frequency:

f0=12πLCf_0 = \frac{1}{2\pi\sqrt{LC}}
  • a

    79.6Hz79.6\,\text{Hz}

  • b

    159.2Hz159.2\,\text{Hz}

  • c

    318.3Hz318.3\,\text{Hz}

  • d

    1,000Hz1{,}000\,\text{Hz}

Correct answer: b

159.2Hz159.2\,\text{Hz}

f0=12π0.1×105=12π×103=10002π=159.2Hzf_0 = \frac{1}{2\pi\sqrt{0.1 \times 10^{-5}}} = \frac{1}{2\pi \times 10^{-3}} = \frac{1000}{2\pi} = 159.2\,\text{Hz}
circuit-analysis
9Multiple choice1 mark

Parallel plate capacitor: A=0.01m2A = 0.01\,\text{m}^2, d=0.001md = 0.001\,\text{m}, ϵr=4\epsilon_r = 4, ϵ0=8.854×1012\epsilon_0 = 8.854 \times 10^{-12}:

C=ϵrϵ0AdC = \frac{\epsilon_r \epsilon_0 A}{d}
  • a

    88.5pF88.5\,\text{pF}

  • b

    177pF177\,\text{pF}

  • c

    354pF354\,\text{pF}

  • d

    708pF708\,\text{pF}

Correct answer: c

354pF354\,\text{pF}

C=4×8.854×1012×0.010.001=354pFC = \frac{4 \times 8.854 \times 10^{-12} \times 0.01}{0.001} = 354\,\text{pF}
electromagnetics
10Multiple choice1 mark

A 10-bit ADC, input range 0-5 V. Resolution:

ΔV=Vrange2n1\Delta V = \frac{V_{range}}{2^n - 1}
  • a

    2.44mV2.44\,\text{mV}

  • b

    4.88mV4.88\,\text{mV}

  • c

    9.77mV9.77\,\text{mV}

  • d

    19.53mV19.53\,\text{mV}

Correct answer: b

4.88mV4.88\,\text{mV}

ΔV=51023=4.88mV\Delta V = \frac{5}{1023} = 4.88\,\text{mV}
digital-systems

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The FE — Electrical & Computer FE — Electrical & Computer 2025 paper carries 110 full marks and is meant to be completed in 360 minutes, across 10 questions.
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