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100+ Free FE Electrical & Computer Practice Questions

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Question 1
Score: 0/0

Evaluate the limit lim_{x→0} (sin 3x) / (5x).

A
B
C
D
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2026 Statistics

Key Facts: FE Electrical & Computer Exam

110

Exam Questions

NCEES

5h 20m

Total Test Time

NCEES

$175

NCEES Fee

NCEES

~65%

First-Time Pass Rate

NCEES recent windows

18

Knowledge Areas

NCEES outline

Year-Round

CBT Availability

Pearson VUE

FE Electrical and Computer is a 110-question, 5-hour-20-minute CBT covering 18 NCEES knowledge areas from circuit analysis and electromagnetics to computer networks and software engineering. The $175 NCEES fee includes the searchable on-screen FE Reference Handbook used during testing.

Sample FE Electrical & Computer Practice Questions

Try these sample questions to test your FE Electrical & Computer exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Evaluate the limit lim_{x→0} (sin 3x) / (5x).
A.0
B.3/5
C.5/3
D.1
Explanation: Use lim_{u→0} sin(u)/u = 1. Rewrite sin(3x)/(5x) = (3/5) · sin(3x)/(3x). As x → 0, sin(3x)/(3x) → 1, so the limit is 3/5.
2What is the derivative d/dx [x² · ln(x)]?
A.2x · ln(x)
B.x + 2x · ln(x)
C.2x · ln(x) + x
D.x² / x
Explanation: Apply the product rule: d/dx[x² ln x] = 2x · ln(x) + x² · (1/x) = 2x · ln(x) + x.
3Evaluate ∫ from 0 to π/2 of sin(x) dx.
A.0
B.1
C.π/2
D.2
Explanation: ∫ sin(x) dx = -cos(x). Evaluating from 0 to π/2: -cos(π/2) - (-cos(0)) = 0 + 1 = 1.
4A complex number z = 3 + 4j. What is |z| and arg(z) (in degrees)?
A.|z| = 5, arg = 53.13°
B.|z| = 7, arg = 45°
C.|z| = 5, arg = 36.87°
D.|z| = 25, arg = 53.13°
Explanation: |z| = √(3² + 4²) = √25 = 5. arg(z) = arctan(4/3) ≈ 53.13°. The magnitude is the Pythagorean distance and the argument is the angle measured from the positive real axis.
5For the matrix A = [[2, 1], [1, 3]], what is det(A)?
A.3
B.5
C.6
D.7
Explanation: For a 2×2 matrix [[a, b], [c, d]], det = ad - bc. Here det = (2)(3) - (1)(1) = 6 - 1 = 5.
6Solve the differential equation dy/dx + 2y = 0 with y(0) = 5.
A.y = 5e^(2x)
B.y = 5e^(-2x)
C.y = 5 - 2x
D.y = 5 cos(2x)
Explanation: This is a first-order linear homogeneous ODE. The general solution is y = C·e^(-2x). Applying y(0) = 5 gives C = 5, so y = 5e^(-2x).
7What is the Laplace transform of f(t) = e^(-3t) · u(t)?
A.1/(s-3)
B.1/(s+3)
C.s/(s²+9)
D.3/(s²+9)
Explanation: L{e^(-at) u(t)} = 1/(s+a) for Re(s) > -a. Here a = 3, giving 1/(s+3). This is a standard table entry in the NCEES handbook.
8What is the dot product of vectors a = (1, 2, 3) and b = (4, -5, 6)?
A.10
B.12
C.32
D.0
Explanation: a · b = (1)(4) + (2)(-5) + (3)(6) = 4 - 10 + 18 = 12. The dot product sums element-wise products.
9Using Euler's identity, e^(jπ) = ?
A.1
B.-1
C.j
D.-j
Explanation: Euler's identity states e^(jθ) = cos θ + j sin θ. At θ = π: cos(π) + j sin(π) = -1 + 0j = -1.
10What is the gradient of f(x, y) = x² + 3xy + y²?
A.(2x + 3y, 3x + 2y)
B.(2x, 2y)
C.(x² + 3xy, 3xy + y²)
D.(3y, 3x)
Explanation: ∇f = (∂f/∂x, ∂f/∂y). ∂f/∂x = 2x + 3y; ∂f/∂y = 3x + 2y. Therefore ∇f = (2x + 3y, 3x + 2y).

About the FE Electrical & Computer Exam

The FE Electrical and Computer exam is one of seven NCEES Fundamentals of Engineering disciplines and the first formal step toward Professional Engineer (PE) licensure. The 110-question, computer-based test is administered year-round at Pearson VUE centers. Passing earns the Engineer Intern (EI) or Engineer-in-Training (EIT) designation and qualifies candidates for the PE Electrical exam after they complete the required engineering experience.

Questions

110 scored questions

Time Limit

5 hours 20 minutes

Passing Score

Scaled cut score (NCEES does not publish a fixed passing percentage)

Exam Fee

$175 (NCEES (Pearson VUE))

FE Electrical & Computer Exam Content Outline

11-17 Q

Mathematics

Algebra, calculus, ODEs, Laplace transforms, linear algebra, vector analysis, complex numbers

4-6 Q

Probability & Statistics

Distributions, expected value, hypothesis testing, regression, reliability

3-5 Q

Ethics & Professional Practice

NCEES Model Rules, public safety duty, conflicts of interest, intellectual property

3-5 Q

Engineering Economics

Time value of money, present/future worth, depreciation, rate of return, breakeven

4-6 Q

Properties of Electrical Materials

Conductors, insulators, semiconductors, magnetic materials, dielectrics

6-9 Q

Engineering Sciences

Statics, dynamics, mechanics of materials, thermodynamics, heat transfer basics

10-15 Q

Circuit Analysis (DC & AC)

KCL/KVL, Thevenin/Norton, mesh and nodal, AC steady-state, RLC resonance, three-phase

5-8 Q

Linear Systems

Transfer functions, convolution, frequency response, time/frequency-domain analysis

5-8 Q

Signal Processing

Sampling, FIR/IIR filters, DTFT/DFT, quantization, anti-aliasing

7-11 Q

Electronics

Diodes, BJT/MOSFET small-signal, op-amp circuits, rectifiers, biasing

8-12 Q

Power

Single- and three-phase analysis, transformers, induction/synchronous machines, power factor

5-8 Q

Electromagnetics

Maxwell's equations, transmission lines, plane waves, antennas, fields

6-9 Q

Control Systems

Block diagrams, root locus, Bode plots, gain/phase margin, PID, compensation

5-8 Q

Communications

AM/FM modulation, Shannon capacity, Friis path loss, digital modulation, multiplexing

4-6 Q

Computer Networks

OSI/TCP-IP, TCP vs UDP, IPv4 subnetting, routing/switching basics, LAN topologies

7-11 Q

Digital Systems

Boolean algebra, K-maps, combinational/sequential logic, flip-flops, counters

4-6 Q

Computer Systems

CPU architecture, memory hierarchy, cache, virtual memory, instruction sets, Big-O

4-6 Q

Software Engineering

SDLC models, version control, testing, requirements, software design patterns

How to Pass the FE Electrical & Computer Exam

What You Need to Know

  • Passing score: Scaled cut score (NCEES does not publish a fixed passing percentage)
  • Exam length: 110 questions
  • Time limit: 5 hours 20 minutes
  • Exam fee: $175

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

FE Electrical & Computer Study Tips from Top Performers

1Master the on-screen NCEES FE Reference Handbook — know exactly where each formula lives before exam day
2Drill the high-weight areas first: Mathematics (~14 Q), Circuit Analysis (~12 Q), Power (~10 Q), Electronics (~9 Q), Digital Systems (~9 Q)
3Practice with an NCEES-approved calculator (Casio FX-115 / TI-36X) exclusively to build muscle memory
4Work AC steady-state problems with phasors and complex impedance until they feel mechanical
5Re-derive Thevenin/Norton equivalents and three-phase Y/Δ relationships from scratch — common conceptual traps
6Target ~3 minutes per question; flag tough items and return after a first pass
7Review NCEES Code of Ethics and Model Rules — ethics questions are gimmes worth 3-5 points
8Memorize key constants: ε₀, μ₀, η₀ = 377 Ω, V_T = 26 mV, c = 3×10⁸ m/s
9Build a one-page reference of standard transforms (Laplace, Fourier) with regions of convergence
10Take at least one full timed simulation using the NCEES official practice exam to calibrate pacing

Frequently Asked Questions

How many questions are on the FE Electrical and Computer exam?

The exam has 110 multiple-choice and alternative-item-type questions delivered over 5 hours 20 minutes (including the optional 25-minute break and a brief tutorial). NCEES does not publish a fixed passing percentage; results are scaled.

What is the FE Electrical and Computer exam fee?

NCEES charges $175 per attempt. State licensing boards may charge additional application or processing fees. Scheduling is done through your NCEES MyAccount and a Pearson VUE test center.

What is the FE Electrical and Computer pass rate?

First-time-taker pass rates have generally hovered around 65% in recent NCEES reporting windows. Repeat-taker pass rates are typically lower, so most successful candidates pass on their first attempt.

What reference is provided during the FE EE/CE exam?

NCEES provides an on-screen searchable PDF of the FE Reference Handbook (current edition). No personal references are allowed. Candidates should download the free Handbook from ncees.org and study with it before exam day.

Which calculators are allowed?

Only NCEES-approved calculators: Casio FX-115 series, HP 33s and HP 35s, and TI-30X / TI-36X series. An on-screen scientific calculator is also provided during testing.

How should I study for the FE Electrical and Computer exam?

Most candidates study 200-300 hours over 2-4 months. Build fluency with the NCEES Handbook layout, then drill problems by knowledge area, prioritizing high-weight topics: Mathematics, Circuit Analysis, Power, Electronics, and Digital Systems.