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Electronics Engineer (ECE) board exam reviewer

At least 70% in every subject. A subject at 60–69% may be retaken in a removal exam; below 60% in any subject fails. (RA 9292). Practise each subject with worked solutions, then sit a timed mock exam and see where you stand against that rule.

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Subjects, weights and topics

SubjectWeightTopics
Mathematics
4 h session		20%Algebra · Trigonometry · Analytic geometry · Differential calculus · Integral calculus · Differential equations · Complex numbers · Probability and statistics · Matrices and determinants · Laplace transforms and Fourier series
Electronics Engineering
5 h session		30%DC circuits · AC circuits · Transients (RC, RL, RLC) · Semiconductors and diodes · BJT and FET circuits · Operational amplifiers · Oscillators and feedback · Power electronics · Digital electronics · Microprocessors and microcontrollers · Control systems · Instrumentation and measurement
General Engineering and Applied Sciences (GEAS)
4 h session		20%Physics: mechanics · Physics: waves, electricity and magnetism · General chemistry · Thermodynamics · Engineering materials · Engineering economics · Engineering management · Computer fundamentals and programming · RA 9292 and ethics (electronics)
Electronic Systems and Technologies (EST)
5 h session		30%Communications fundamentals (dB, noise) · AM, FM and PM · Digital communications · Transmission lines · Antennas and wave propagation · Microwave, fiber optics and satellite · Data communications and networks · Broadcasting and acoustics

Sample questions

1. Find the determinant of the 2×2 matrix with rows [3 2] and [1 4].

  1. 14
  2. 10
  3. −10
  4. 5
Show the answer and solution

Answer: B. 10

det = 3(4) − 2(1) = 12 − 2 = 10.

2. Solve 3^x = 597 for x.

  1. 6.392
  2. 8.328
  3. 5.818
  4. 199
Show the answer and solution

Answer: C. 5.818

x = log(597)/log(3) = 5.818.

3. Which power device combines a MOSFET-like insulated gate drive with the low conduction loss of a bipolar output stage?

  1. TRIAC
  2. GTO thyristor
  3. Power diode
  4. IGBT
Show the answer and solution

Answer: D. IGBT

The insulated-gate bipolar transistor has a MOS gate (voltage drive, negligible gate current) and bipolar conduction for low on-state voltage at high current.

4. A unity-feedback system has open-loop G(s) = 38/(s + 1). What is the steady-state error to a unit step?

  1. 97.4%
  2. 0%
  3. 2.63%
  4. 2.56%
Show the answer and solution

Answer: D. 2.56%

Type 0 system, unit step: ess = 1/(1 + Kp) = 1/(1 + 38) = 2.56%.

5. How many grams of O₂ are needed to burn 44 g of propane completely? (C₃H₈ = 44 g/mol, O₂ = 32 g/mol)

  1. 32 g
  2. 96 g
  3. 224 g
  4. 160 g
Show the answer and solution

Answer: D. 160 g

The balanced equation is C₃H₈ + 5O₂ → 3CO₂ + 4H₂O. 1 mol of propane needs 5 mol of O₂ = 5 × 32 = 160 g.

6. What is the effective annual rate of 14% compounded monthly?

  1. 15.17%
  2. 14%
  3. 14.93%
  4. 1.167%
Show the answer and solution

Answer: C. 14.93%

i = (1 + j/m)^m − 1 = (1 + 14%/12)^12 − 1 = 14.93%.

7. A source emits three symbols with probabilities 0.5, 0.25 and 0.25. What is its entropy?

  1. 1.0 bits/symbol
  2. 1.58 bits/symbol
  3. 1.5 bits/symbol
  4. 2.0 bits/symbol
Show the answer and solution

Answer: C. 1.5 bits/symbol

H = Σ p log₂(1/p) = 0.5(1) + 0.25(2) + 0.25(2) = 1.5 bits/symbol (1.58 would require equal probabilities).

8. What is the TE₁₀ cutoff frequency of an air-filled rectangular waveguide whose broad wall is 47.55 mm?

  1. 1.58 GHz
  2. 6.31 GHz
  3. 3.15 GHz
  4. 2.1 GHz
Show the answer and solution

Answer: C. 3.15 GHz

TE₁₀ cutoff: fc = c/(2a) = 3×10⁸/(2 × 47.55 mm) = 3.15 GHz.

Take a timed mock exam

An independent, free reviewer: not affiliated with the PRC or the Boards. Subject weights and passing rules are from the PRC examination programs and the laws (RA 9292, RA 7920); check the current PRC program before you file. Code questions follow the Philippine Electrical Code 2017 Part 1; check them against your own copy of the Code.