ECE REVIEWER FREE – ELECTRONICS ENGINEERING

Preparing for the Electronics Engineer Licensure Examination (ECE) can be a daunting task, but with the right tools, it becomes more manageable and even enjoyable. One such tool is the LOOKSFAM Board Exam Tool, designed to optimize your study process and help you succeed.

Engineering Mathematics - Trial Practice

An FM signal has a deviation of 10 KHz and a modulating frequency of 2 KHz. Calculate the modulation index.
15
20
5
10
Show Solution
Question:
An FM signal has a deviation of 10 KHz and a modulating frequency of 2 KHz. Calculate the modulation index.
Answer:

5

Control system that maintains a speed, voltage, or other variable within specified limits of a preset level.
regulator
computer
controller
sensor
Show Solution
Question:
Control system that maintains a speed, voltage, or other variable within specified limits of a preset level.
Answer:

regulator

Which of the following is NOT a technique for handling the curse of dimensionality in optimization?
Global optimization algorithms
Surrogate modeling
Dimensionality reduction techniques
Increasing the step size in line search methods
Show Solution
Question:
Which of the following is NOT a technique for handling the curse of dimensionality in optimization?
Answer:

Increasing the step size in line search methods

What is a non-continuous noise of irregular pulses or spikes of short duration with high amplitudes?
Singing
Wander
Jitter
Hits
Show Solution
Question:
What is a non-continuous noise of irregular pulses or spikes of short duration with high amplitudes?
Answer:

Jitter

Solve the system of equations: 2^x + 2^y = 10; 2^(x+y) = 16
(1, 3) and (3, 1)
(2, 2)
(4, 0) and (0, 4)
No real solutions
Show Solution
Question:
Solve the system of equations: 2^x + 2^y = 10; 2^(x+y) = 16
Answer:

(1, 3) and (3, 1)

Find the general solution of the differential equation: y'' + 6y' + 13y = 0.
y = e^(3x)(C1cos(2x) + C2sin(2x))
y = e^(-3x)(C1sin(2x) + C2cos(2x))
y = e^(-3x)(C1cos(2x) + C2sin(2x))
y = e^(3x)(C1sin(2x) + C2cos(2x))
Show Solution
Question:
Find the general solution of the differential equation: y'' + 6y' + 13y = 0.
Answer:

y = e^(-3x)(C1cos(2x) + C2sin(2x))

A force of F(x) = e^(-x) pounds acts on an object. Find the work done in moving the object from x = 0 to x = ∞ feet.
2 foot-pounds
e foot-pounds
1 foot-pound
Diverges
Show Solution
Question:
A force of F(x) = e^(-x) pounds acts on an object. Find the work done in moving the object from x = 0 to x = ∞ feet.
Answer:

1 foot-pound

Explanation:

W=∫₀∞ e⁻ˣ dx = 1 foot-pound.

Which of the following is NOT a property of a normal distribution?
It has a finite support.
It is completely characterized by its mean and variance.
It is symmetric about its mean.
Approximately 68% of the data falls within one standard deviation of the mean.
Show Solution
Question:
Which of the following is NOT a property of a normal distribution?
Answer:

It has a finite support.

The equation of the tangent line to the curve y = ln(x^2 + 1) at the point where x = 1 is:
y = 2x - 2 + ln(2)
y = x/2 - 1/2 + ln(2)
y = 2x - 1 + ln(2)
y = x - 1 + ln(2)
Show Solution
Question:
The equation of the tangent line to the curve y = ln(x^2 + 1) at the point where x = 1 is:
Answer:

y = x - 1 + ln(2)

Explanation:

f'(x)=2x/(x²+1). At x=1, slope=1. Point: (1, ln2). y - ln2 = 1(x-1).

The Bessel functions J_n(x) and Y_n(x) are linearly independent solutions of the Bessel differential equation. What is the relationship between them?
Y_n(x) = J_n(x) * ln(x) + (polynomial in x)
Y_n(x) = J_n(x) * e^x + (polynomial in x)
Y_n(x) = J_n(x) * cos(x) + (polynomial in x)
Y_n(x) = J_n(x) * sin(x) + (polynomial in x)
Show Solution
Question:
The Bessel functions J_n(x) and Y_n(x) are linearly independent solutions of the Bessel differential equation. What is the relationship between them?
Answer:

Y_n(x) = J_n(x) * ln(x) + (polynomial in x)

What is the purpose of using blinding in a randomized controlled trial?
To prevent participants from knowing which treatment group they are in.
All of the above
To reduce bias in the assessment of outcomes.
To prevent researchers from knowing which treatment group participants are in.
Show Solution
Question:
What is the purpose of using blinding in a randomized controlled trial?
Answer:

All of the above

The loudness of a sound depends upon the energy of motion imparted to __________ molecules of the medium transmitting the sound.
transmitting
running
vibrating
moving
Show Solution
Question:
The loudness of a sound depends upon the energy of motion imparted to __________ molecules of the medium transmitting the sound.
Answer:

vibrating

Ratio of reflected power to incident power?
Reflectance
Incidence
None of these
Reflection index
Show Solution
Question:
Ratio of reflected power to incident power?
Answer:

Reflectance

Use Stokes' theorem to evaluate the surface integral ∫∫_S (curl F) • dS, where F = (z)i + (x)j + (y)k and S is the part of the sphere x^2 + y^2 + z^2 = 4 that lies above the plane z = 1, oriented upward.
π
2π
4π
3π
Show Solution
Question:
Use Stokes' theorem to evaluate the surface integral ∫∫_S (curl F) • dS, where F = (z)i + (x)j + (y)k and S is the part of the sphere x^2 + y^2 + z^2 = 4 that lies above the plane z = 1, oriented upward.
Answer:

3π

Evaluate the triple integral ∫∫∫E (x^2) dV, where E is the solid that lies within the cylinder x^2 + y^2 = 1, above the plane z = 0, and below the cone z^2 = 4x^2 + 4y^2.
Ï€/4
Ï€
2Ï€
Ï€/2
Show Solution
Question:
Evaluate the triple integral ∫∫∫E (x^2) dV, where E is the solid that lies within the cylinder x^2 + y^2 = 1, above the plane z = 0, and below the cone z^2 = 4x^2 + 4y^2.
Answer:

Ï€/4

Explanation:

Cylindrical: z from 0 to 2r. ∫₀²π∫₀¹∫₀²ʳ (r²cos²θ) r dz dr dθ = (∫₀²π cos²θ dθ)(∫₀¹ r³(2r)dr)=π*(2/5)=2π/5

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  3. Performance Analytics: LOOKSFAM provides detailed analytics on your performance, helping you identify your strengths and weaknesses. This allows you to focus your efforts on areas that need the most attention1.
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Good luck to all future electronics engineers! If you have any specific questions or need further assistance, feel free to ask.

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