# MCQ in Engineering Electromagnetics Part 3 | ECE Board Exam

(Last Updated On: June 16, 2022) This is the Multiples Choice Questions Part 3 of the Series in Engineering Electromagnetics as one of the General Engineering and Applied Sciences (GEAS) topic. In Preparation for the ECE Board Exam make sure to expose yourself and familiarize in each and every questions compiled here taken from various sources including past Board Questions in General Engineering and Applied Sciences (GEAS) field.

### PRC Board of Electronics Engineering Examination Syllabi (ECE Board)

The licensure exam shall cover different areas in the field of Electronics Engineering as prescribed by the Board. Under the Implementing Rules and Regulation of R.A. 9292, the licensure exam shall compose of four subjects each with 100 items covering different areas and with its own bearing to the overall rating. The applicant shall have a general weighted average of more than 70% and a grade above 70% for each subject areas to pass the licensure exam.

Mathematics – 20%

1. College Algebra

• Equations in One Variable
• Functions
• Determinants
• Matrices
• Sequences and Series

2. Trigonometry

• Trigonometric functions
• Applications

3. Geometry

• Analytic Geometry
• Plane Geometry
• Solid Mensuration

4. Differential Calculus

• Derivatives and its Applications
• Functions, Continuity and Limits
• Higher-Order Derivatives
• Parametric Equations and Partial Differentiation

5. Integral Calculus

• Integration and its Applications
• Surface and Multiple Integrals and its Applications

6. Differential Equations

• First-Order, First-Degree ODE and its Applications
• Higher-Order ODE and its Applications

• Complex Number and its Applications
• Power Series, Fourier Series and its Applications
• Laplace Transforms, Inverses, and its Applications
• Fourier Transforms, Inverses and its Applications
• Z-Transforms
• Partial Differential Equations

8. Probability and Statistics

• Fundamental Principles of Counting
• Permutations and Combinations
• Measures of Central Tendency and Variations
• Probability Distributions
• Presentation of Data and Sampling Techniques
• Inferential Statistics
• Analysis of Variance, Regressions and Correlations

9. Discrete Mathematics

• Set Theory and Mathematical Logic
• Binary Operations
• Growth of Functions
• Algorithms

10. Numerical Methods

• Analysis of Errors
• Evaluation of Series Expansion of Functions
• Analysis of Variance, Regressions and Correlations
• Simultaneous Linear and Nonlinear
• ODE
• PDE

General Engineering and Applied Sciences – 20%

1. Engineering Mechanics

2. Strength of Materials

3. College Physics

4. General Chemistry

5. Thermodynamics

6. Engineering Materials

7. Engineering Economics

8. Engineering Management

9. Electromagnetics

10. Laws and Ethics

• Contract and specifications
• Telecommunications and broadcasting laws and regulations
• Electronics Engineering Law of 2004
• Code of professional ethics and conduct
• Philippine electronic code

Electronics Engineering – 30%

1. Electricity/Magnetism Fundamentals

• Atomic Structure
• Electric Charge
• Laws (ohms, Kirchhoff, coulomb, etc.)
• Magnetic Power
• Magnetic field/flux
• Magnetic/electric quantities/units
• Magnetic/electromagnet principles

2. Electrical Circuit

• Ac-dc circuits
• Resistors
• Inductors
• Capacitor

3. Solid State Devices/Circuits

• Semi-conductor fundamentals
• Transistor components, circuits, analysis, and design
• Special services (photo, electric, photo voltaic etc.)

4. Power Generator, Sources, Principles and Applications

• Cells and batteries
• Electric Generator
• Electronic power supply
• Voltage regulation
• Distribution transformer
• MUPS/Float-battery system
• Converters/inverters

5. Electronic (Audio/RF) Circuit, Analysis and Design

• Amplifiers
• Oscillators
• Rectifier
• Filters
• Voltage regulation

6. Tests and Measurements

• Volt-ohm-ammeter (analog/digital)
• R-L-Z bridges
• Oscilloscope
• RF meters
• Signal generators (audio, RF, video)
• Noise generators
• Power/reflectometer/grid dip meter

7. Microelectronics

• Integrated circuits components, characteristics, and products
• Operational amplifiers/multivibrators

8. Industrial Electronics Principles and Applications

• Electronic control system
• Industrial solid-state services
• Welding system/high frequency heating
• Feedback systems/servomechanism
• Transducers
• Motor speed control systems
• Robotic principles
• Bioelectrical principles
• Instrumentation and control

9. Computer Principles

• Analog/digital system
• Binary number system, Boolean algebra
• Mathematical logic and switching networks
• Basic digital circuits (logic, gates, flip-flops, multivibrators etc.)
• Static and dynamic memory devices
• Programming and machine languages
• Information and acquisition processing
• Analog/Digital conversion
• Computer Networking

Electronics Systems and Technologies – 30%

1. Transmission Fundamentals

• Transmission system
• Transmission medium
• Primary line constants
• Velocity and line wavelength
• Characteristic Impedance
• Propagation constants
• Phase and group velocity
• Standing waves
• Voltage Standing Wave Ratio
• Telephone lines and cables
• Wave guides
• Balanced and unbalanced lines
• Twisted pair wire
• Coaxial Cable
• The decibel
• Power dB calculations
• Signal and Noise fundamentals

2. Acoustics

• Definition
• Frequency range
• Sound pressure level
• Sound Intensity
• Loudness level
• Pitch and frequency
• Internal and octave
• Sound distortion
• Room acoustics
• Electro-Acoustics transducers

3. Modulation

• Amplitude modulation
• Phase modulation
• Frequency modulation
• Pulse modulation

4. Noise

• External noise
• Phase noise
• Noise calculation and measurements

• Wave propagation
• Wavelength calculations
• Diversity systems

6. Antennas

• Basic considerations
• Current and voltage distribution
• Resonant, non-resonant antennas
• Terms and definition
• Antenna gain and resistance
• Bandwidth, beamwidth, polarization
• Effects of ground on antennas
• Grounded, ungrounded antennas
• Grounding systems
• Antenna height
• Design and applications
• Matching systems
• Impedance calculations
• Antenna types
• Directional and non-directional
• Microwave antennas
• Wideband and Special purpose antennas

7. Wire and wireless communications System

• The telephone set
• Connection and performance
• Exchange area plant
• Loop design
• Trunks in the exchange plant
• Insertion loss
• Traffic calculations
• Reference Equivalent and standards
• Telephone networks
• Signaling, Billing, CAMA, ANI
• Echo, signing and design loss
• Via net loss
• Network hierarchy, class type
• VF repeaters
• Transmission considerations in long distance network
• Telephone features – IDD, NDD, LEC
• Mobile communications

8. Microwave Communications and Principles

9. Basic principles of various Electronics System

• Electro-optics/photonics/optoelectronics
• Electromagnetic
• Avionics, aerospace, navigational and military applications
• Medical electronics
• Cybernetics
• Biometrics

B. Digital and Data Communications Systems

1. Digital Communication Networks

• Bit and Binary transmission
• Signaling rate
• Error probability
• Digital filtering
• Switching
• Packet circuit
• Vertical circuit
• Open systems interconnection
• Multiplying, modulation, and synchronization
• Pulse code modulation
• Companding
• Encoding
• Bandwidth and signal to noise ratio
• Delta modulation
• Codes and protocol
• Error detection and correction codes
• Digital carrier systems
• Frequency shift keying
• Phase shift keying
• Differential phase shift keying
• DC nature of data transmission
• Loops
• Neutral and polar
• Binary transmission and the concept of time
• Asynchronous and synchronous
• Timing
• Distortion
• Bits, band, WPM
• Data interface standards
• Data input/output devices
• Digital transmission on analog channel
• Modulation – demodulation schemes parameters
• Circuit conditioning
• Modem applications
• Serial and parallel transmission

2. Fiber Optics

• Principles of light, transmission
• Types
• Light sources, laser, LED
• Light detectors
• Modulation and waveform
• System design
• General application
• Design procedure
• Dispersion limited domain
• System bandwidth
• Splicing techniques

3. Satellite, Broadcasting and Cable TV System

a. Satellite system

• The satellite system
• Types of satellite
• Satellite orbit
• Demand assignments multiple access
• Antenna tracking
• Path loss
• Figure of merit
• Ratio of carrier to thermal noise power
• Station margin
• VSAT

b. Broadcasting and Cable TV System

• Radio transmitter (AM, FM, Television)
• Studio (Microphone, Amplifiers, Cameras, Lighting etc.)
• Cable television

#### Continue Practice Exam Test Questions Part 3 of the Series

Choose the letter of the best answer in each questions.

101. Maxwell’s equations in __________ form give information at points of discontinuity in electromagnetic fields.

A. Differential

B. Integral

C. Algebraic

D. None of these

Solution:

102. Another boundary condition using Maxwell’s equations is given as__________.

A. Htan ‘1’ + Htan ‘2’ = 0

B. Htan ‘1’ − Htan ‘2’ = 0

C. Htan ‘1’ + Htan ‘2’ = Js

D. Htan ‘1’− Htan ‘2’ = Js

Solution:

103. At the point of discontinuity, __________ component of magnetic flux density is continuous.

A. Tangential

B. Normal

C. None of these

D. Cannot say

Solution:

104. For those surfaces where surface charge density is __________ normal component of electric flux density is continuous.

A. Infinity

B. Unity

C. Zero

D. None of these

Solution:

105. Waves are used in __________.

A. TV

D. All of these

Solution:

106. Displacement current density ____________ current passing through a capacitor.

A. Represents

B. Does not represent

C. Is the same as

D. None of these

Solution:

107. Line integral of an electric field around a closed path is __________.

A. infinity

B. unity

C. zero

D. None of these

Solution:

108. __________ are caused by accelerated charges

A. Time-varying fields

B. Waves

C. Both (a) and (b)

D. None of these

Solution:

109. At the Brewster angle, polarization ______________.

A. Cannot be reflected

B. Is reflected at 30°

C. Is reflected at 90°

D. None of these

Solution:

110. Wave number has units of____________.

B. Meter

D. None of these

Solution:

111. Wave speed in terms of frequency f and wavelength λ is expressed as _________.

A. f/λ

B. λ/f

C. λ f

D. (λ + f)

Solution:

112. For a lossy dielectric medium, ____________.

A. σ = 0

B. σ ≠ 0

C. None of these

D. Cannot say

Solution:

113. Wave attenuation is given as ______________.

A. e+βx

B. e-βx

C. e+αx

D. e−αx

Solution:

114. In the case of a perfect dielectric medium, phase constant______________ as conductivity increases.

A. Increases

B. Decreases

C. Remains unchanged

D. None of these

Solution:

115. Phase velocity is given as _________.

A. ωβ

B. βω

C. β/ω

D. None of these

Solution:

116. In good conductors, rate of attenuation is __________.

A. Small

B. Large

C. Infinity

D. Zero

Solution:

117. Power density has _________________.

A. A DC component

B. A second harmonic component

C. Both (a) and (b)

D. None of these

Solution:

118. Reflection coefficient Γ is __________.

A. ≥100

B. = 10

C. ≤ 1

D. None of these

Solution:

119. Which of the following expressions is correct?

A. (1 + Γ) = τ

B. (1 + τ) = Γ

C. (1 + Γ) τ = 0

D. (1 + τ)Γ = 0

Solution:

120. Standing wave consists of two travelling waves of ____________ amplitudes and _____________ is direction.

A. Unequal, same

B. Unequal, opposite

C. Equal, same

D. Equal, opposite

Solution:

121. SNR ranges from ______.

A. 0 to 1

B. 1 to 10

C. 10 to 100

D. 1 to ∞

Solution:

122. The Smith chart is a ________ dimensional representation ofcomplex impedances with respect to coordinates.

A. Two

B. Three

C. Four

D. None of these

Solution:

123. In a _________ transmission line, the reflection coefficient domain isa circle of unitary radius.

A. Lossy

B. Lossless

C. None of these

D. Cannot say

Solution:

124. The Smith chart represents a family of circles obtained by varying normalized resistance in the range of __________.

A. −1 to 0

B. 0 to 1

C. 0 to ∞

D. −∞ to ∞

Solution:

125. A family of arcs is obtained in the Smith chart by varying normalized reactance in a range of __________.

A. −1 to 0

B. 0 to 1

C. 0 to ∞

D. −∞ to ∞

Solution:

126. Smith charts depict a wide impedance range of transmitter for _______VSWR.

A. Low

B. High

C. Medium

D. None of these

Solution:

127. A cable or a wire is considered as a transmission line if its length is _________of the wavelength of the signal travelling through it.

A. Greater than 1/10

B. Less than 1/10

C. Greater than 1/5

D. Less than 1/5

Solution:

128. Transmission lines facilitate _________propagation of energy.

A. Guided

B. Unguided

C. None of these

D. Cannot say

Solution:

129. A transmission line is specified in terms of _________.

A. R, G,L

B. G, L,C

C. R, G, L,C

D. None of these

Solution:

130. In planar transmission lines, C = _________.

A. σ b/d

B. μ d/b

C. b/d

D. None of these.

Solution:

131. In a microstrip line, there is _________metal strip over the substrate.

A. A thin

B. A thick

C. No

D. None of these

Solution:

132. In a fully lossless line, σ = _________.

A. 0

B. 1

C. ∞

D. None of these.

Solution:

133. In a distortion less line, attenuation constant α is frequency_________.

A. Dependent

B. Independent

C. None of these

D. Cannot say

Solution:

134. A distortion less line has _________.

A. Non-vanishing attenuation constant

B. Constant velocity

C. Constant real characteristic impedance

D. All of these

Solution:

135. Voltage reflection coefficient is the ratio of _________ wave to_______ wave.

A. Incident, reflected

B. Reflected, incident

C. Incident, absorbed

D. Absorbed, incident

Solution:

136. ________ are very efficient in a frequency range of 3-300 GHz.

A. Transmission line

B. Wave guides

C. Both (a) and (b)

D. None of these

Solution:

137. Wave guides ________ in DC applications.

A. Can also be used

B. Cannot be used

C. None of these

D. Cannot say

Solution:

138. Wave guides are a type of _________ filter.

A. Low pass

B. All pass

C. Band pass

D. High pass

Solution:

139. For lossless wave guides, σc ________and σ ______

A. ∞, 0

B. 0, ∞

C. 0, 0

D. ∞, ∞

Solution:

140. In the TM mode, Ez _____ and Hz = ________.

A. 0, 0

B. 0, ∞

C. ∞ 0

D. None of these

Solution:

141. In the TEM mode, Ez ______ and Hz =_______

A. 0, 0

B. 0, ∞

C. ∞, 0

D. None of these

Solution:

142. Below the cut-off frequency, there is_______________.

A. Attenuation

B. No attenuation

C. Amplification

D. None of these.

Solution:

143. Cut-off wavelength λc in the TE10 mode is ____________.

A. a

B. 2a

C. 4a

D. 8a

Solution:

144. _______ velocity is the one at which loss of constant phase propagates down the guide.

A. Medium

B. Phase

C. Group

D. None of these

Solution:

145. Information or energy through the wave guide travels at _______velocity.

A. Medium

B. Phase

C. Group

D. None of these

Solution:

146. _______velocity is that whose resultant repeated reflected waves travel down the guide.

A. Medium

B. Phase

C. Group

D. None of these

Solution:

147. ________ vector is needed to determine power flow in wave guides.

A. Poynting

B. Average Poynting

C. Power

D. Phase

Solution:

148. Surface current density K on wave guide walls for ______ is given as

A. TM mode

B. TE mode

C. Both (a) and (b)

D. None of these

Solution:

149. At _______ frequencies, RLC resonant circuits are replaced by electromagnetic cavity resonators.

A. Low

B. Medium

C. High

D. None of these

Solution:

150. Resonator cavities are used in _______.

A. Klystron tubes

B. Band-pass filters

C. Wave meters

D. All of these

Solution:

### Complete List of MCQs in General Engineering and Applied Science per topic

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