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WorksheetsLecture 1 “How Antenna Works” (ECE432 Lecture 1) - Fall 2025
Total questions: 70
Worksheet time: 35mins
The IEEE defines an antenna as:
A wire that transmits electricity
A device that stores electromagnetic energy
A part of a transmitting/receiving system that radiates or receives EM waves
A waveguide
An antenna acts as a:
Transducer between guided waves and free-space waves
Transformer
Oscillator
Amplifier
For efficient radiation, an antenna must have a physical length that is:
A small fraction of the wavelength
At least an appreciable fraction of the wavelength
Exactly equal to the wavelength
Independent of wavelength
Conventional circuits do not radiate significantly because they are:
At resonance
Much smaller than the operating wavelength
Lossless
Shielded
As frequency and distance increase, the preferred transmission medium is:
Transmission line
Optical fiber
Antenna
Waveguide
Radiation from a dipole occurs due to:
Static charges on its ends
Oscillating currents producing time-varying fields
Magnetic materials inside the antenna
Constant voltage across the terminals
At time t = 0 in a dipole cycle, what occurs?
Maximum current
Peak charge accumulation
Minimum field strength
Zero charge build-up
At t = T/4, the charges in a dipole antenna are:
Maximum positive at one end
Completely neutralized
Maximum negative at one end
Oscillating in loops
The conduction current on an antenna is converted into:
Magnetic flux
Displacement current in space
Electric potential
Mechanical vibration
Radiation occurs because electric field lines:
Remain confined near the antenna
Detach and propagate outward
Cancel each other
Reverse direction constantly
The radiation pattern of an antenna shows:
Variation of current along the wire
Variation of radiated field intensity with angle
Frequency response
Polarization only
Directivity is a measure of:
Losses in the antenna
Concentration of radiated power in a given direction
Bandwidth
Matching efficiency
Antenna gain is defined as:
Directivity without losses
Directivity reduced by antenna losses
Directivity plus efficiency
Input resistance
Antenna polarization refers to:
Direction of maximum gain
Orientation of the electric field vector of the radiated wave
Impedance matching
Antenna efficiency
The input impedance of an antenna is the ratio of:
Current to voltage
Voltage to current at the antenna terminals
Power to current
Voltage to power
The usual goal of impedance matching is:
To increase frequency
To minimize reflection between transmission line and antenna
To maximize stored energy
To improve directivity only
Antenna bandwidth is the range of frequencies where:
Directivity is maximum
Performance parameters remain acceptable
Efficiency is zero
The antenna resonates only
Radiation efficiency is:
Ratio of input power to radiated power
Ratio of radiated power to input power
Ratio of gain to directivity
Ratio of voltage to current
Electrically small antennas are:
About half a wavelength long
Much smaller than a wavelength
Always broadband
High gain
Example of an electrically small antenna:
Horn antenna
Short dipole
Yagi-Uda
Microstrip patch
Resonant antennas typically have:
Wide bandwidth
Narrow bandwidth
High directivity
Low efficiency
A half-wave dipole is an example of a:
Resonant antenna
Aperture antenna
Electrically small antenna
Broadband antenna
A microstrip patch antenna belongs to the category of:
Aperture antenna
Resonant antenna
Broadband antenna
Electrically small antenna
Broadband antennas maintain:
Constant gain and input impedance over wide frequency range
Very high gain only at resonance
Narrow bandwidth
Zero polarization
Examples of broadband antennas include:
Spiral and log-periodic dipole array
Yagi-Uda and microstrip patch
Horn and reflector
Short dipole and loop
Aperture antennas have:
No physical opening
A physical aperture through which waves propagate
Very low gain
High reactance only
Gain of aperture antennas generally:
Decreases with frequency
Increases with frequency
Remains constant
Is always zero
Examples of aperture antennas are:
Yagi and dipole
Horn and reflector
Patch and loop
Spiral and log-periodic
Which antenna is commonly used in AM radio reception (electrically small)?
Half-wave dipole
Short vertical monopole
Horn antenna
Log-periodic
Which antenna type is best for wideband applications like TV broadcasting?
Microstrip patch
Spiral antenna
Dipole antenna
Horn antenna
Which Maxwell’s law states that there are no magnetic charges?
Faraday’s law
Gauss’s law for magnetism
Ampère’s law
Continuity equation
Faraday’s law relates:
Divergence of B to charge density
Curl of E to rate of change of B
Curl of H to current density
Divergence of D to magnetic charge
Ampère’s law (with Maxwell’s correction) is:
∇⋅B=0
∇×E=−∂t∂B
∇×H=J+∂t∂D
∇⋅D=ρv
The continuity equation ensures:
Energy conservation
Charge conservation
Momentum conservation
Power conservation
Boundary condition for H-field tangential component:
Continuous everywhere
Discontinuous due to surface current density
Discontinuous due to volume charge
Always zero
Boundary condition for E-field tangential component:
Continuous across all boundaries
Discontinuous due to surface magnetic current
Zero at any dielectric interface
Constant everywhere
Magnetic current density M is:
A real physical quantity
A fictitious mathematical concept used for symmetry
A measure of magnetic charges
Equal to ∇⋅B
If one side of the boundary is a perfect conductor, the tangential electric field at the surface is:
Maximum
Zero
Infinite
Equal to surface current
The magnetic vector potential is denoted as:
Φ
A
F
J
The divergence of A is specified using:
Gauss’s law
Faraday’s law
Lorenz condition
Continuity equation
The Lorenz condition helps to:
Couple variables in equations
Decouple variables and derive wave equation
Eliminate electric field
Define polarization
In solving Maxwell’s equations, a point source is first solved because:
It is physically realizable
General sources can be modeled as superposition of point sources
It eliminates fields
It avoids boundary conditions
A point source current has:
No direction
Always a z-direction component
Radial direction only
Undefined orientation
Outward solution of the point source corresponds to:
Standing wave
Radiating wave
Evanescent wave
Reactive field
The vector potential for an arbitrary current distribution is found by:
Using only one point source
Integrating contributions from all point sources
Ignoring orientation
Taking divergence only
An infinitesimal current element is also called:
Microstrip dipole
Hertzian dipole
Folded dipole
Patch antenna
Condition for ideal dipole approximation:
Δz≫λ
Δz≪λ
Δz≈λ
Δz=λ/2
In the far-field of an ideal dipole ( r≫λ ), the fields vary as:
1/r2 and 1/r3
1/r
r2
Constant
The intrinsic impedance of free space is:
50Ω
120πΩ
75Ω
377/2Ω
Near fields of an ideal dipole consist of:
Radiation only
Electrostatic and induction fields
Magnetic only
Constant power density
The distance where radiated and reactive powers are equal for a dipole is:
λ/2
λ/4
λ/(2π)
λ2
A uniform line source assumes:
Current distribution varies with position
Current is constant along its extent
Magnetic current only
No electric fields
An isotropic radiator is defined as:
Radiates only in one direction
Hypothetical antenna radiating equally in all directions
Omnidirectional in one plane only
Real physical dipole
An omnidirectional antenna radiates:
Constantly in all 3D directions
Constantly in one plane
Strongly in endfire direction
With no main lobe
A directional antenna radiates:
Equally in all directions
More effectively in certain directions
Without polarization
Constantly in a plane
The E-plane is defined as:
Plane containing H-field vector
Plane containing E-field vector and direction of max radiation
Plane perpendicular to propagation
Plane of zero current
The H-plane is defined as:
Plane containing H-field vector and direction of max radiation
Plane containing E-field vector
Plane of zero field
Any arbitrary plane
A normalized radiation pattern is obtained by:
Setting maximum field to unity
Dividing by wavelength
Multiplying by impedance
Eliminating phase
Radiation lobes include:
Main, side, and back lobes
Nulls only
Forward and reverse currents
Resonant peaks
Half-power beamwidth (HPBW) is:
Angle at which power falls to 50% of maximum
Null-to-null width
Main lobe width at full strength
Side lobe angle
A broadside antenna has its maximum radiation:
Along the plane of the antenna
Normal to the plane of the antenna
In all directions
In backward direction
Part E – Field Regions, Radian & Steradian: The far-field region begins when phase error due to parallel ray assumption is:
π/2
π/8
π
Zero
Part E – Field Regions, Radian & Steradian: The boundary between near and far field depends on:
λ/2
Antenna dimension and wavelength
Current amplitude
Polarization
Part E – Field Regions, Radian & Steradian: Near field region is divided into:
Induction and electrostatic fields
Reactive near field & radiating near field
Broadside and endfire
Null and lobe
Part E – Field Regions, Radian & Steradian: For an ideal dipole, the reactive to radiating near field boundary is at:
λ/4
λ(2π)
λ/2
λ
Part E – Field Regions, Radian & Steradian: A large antenna is defined as:
D ≪ λ
D>2.5λ
D=λ/2
D=λ
Part E – Field Regions, Radian & Steradian: A small antenna has:
Dimension ≫ λ
Dimension ≪ λ
Dimension = λ/2
Dimension = 2λ
Part E – Field Regions, Radian & Steradian: One radian corresponds to:
180∘
Angle subtended by arc length = radius
1/4 of a circle
360∘
Part E – Field Regions, Radian & Steradian: The total radians in a circle:
π
2π
180
360
Part E – Field Regions, Radian & Steradian: The total steradians in a closed sphere:
2π
4π
180
360
