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few solved questions based on antenna engineering
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K.S.R. COLLEGE OF ENGINEERING (Autonomous)
Objective(s):
UNIT – I ELECTROMAGNETIC RADIATION AND ANTENNA FUNDAMENTALS09 Hrs Review of electromagnetic theory: Vector potential -Retarded case - Hertizian dipole - Half-wave dipole - Quarter-wave monopole - Antenna characteristics: Radiation pattern - Beam solid angle - Directivity- Gain - Input impedance - Polarization - Bandwidth - Reciprocity - Effective aperture -Effective length - Antenna temperature.
UNIT – II ANTENNA ARRAYS 09 Hrs Expression for electric field from two, three and N element arrays - Linear arrays: Broad-side array and End-fire array - Method of pattern multiplication - Binomial array - Phased arrays, Frequency scanning arrays - Adaptive arrays.
UNIT - III ANTENNA TYPES 09 Hrs Loop antennas: Radiation from small loop and its radiation resistance -Helical antenna: Normal mode and axial mode operation-Yagiuda antenna- Log periodic antenna – Rhombic antenna- Horn antenna- Reflector antennas and their feed systems - Micro strip antenna.
UNIT – IV SPECIAL ANTENNAS AND ANTENNA MEASUREMENTS 09Hrs Antenna for special applications: Antenna for terrestrial mobile communication systems - GPR - Embedded antennas - UWB - Plasma antenna - Smart antennas. Antenna measurements: Radiation pattern, Gain, Directivity, Polarization, Impedance, Efficiency.
UNIT – V WAVE PROPAGATION 09 Hrs Ground wave propagation: Attenuation characteristics - Calculation of field strength- Space wave propagation: Reflection from ground for vertically and horizontally polarized waves - Reflection characteristics of earth- Resultant of direct and reflected ray at the receiver- Duct propagation - Sky wave propagation: Structure of the ionosphere- Effective dielectric constant of ionized region- Mechanism of refraction- Refractive index- Critical frequency- Skip distance-Maximum usable frequency
Text Books:
L
T
P
C
K.S.R. COLLEGE OF ENGINEERING (Autonomous), TIRUCHENGODE – 637 215 DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING COURSE / LESSON PLAN SCHEDULE
NAME : R.SATHEESKUMAR Class: III-ECE (A, B SECTION) SUBJECT: 16EC611 - ANTENNA AND WAVE PROPAGATION TEXTBOOKS:
L - Lecture BB - Black Board Tx - Text OHP - Over Head Projector pp - Pages Rx - Reference Sl. No.
Lecture Hour
Topics to be covered Teaching Aid Required
Book No. / Page No.
Review of electromagnetic theory, Vector potential, Retarded case
Tx 1/pp 274-277, 415-416, Rx 2/pp90, Rx 4/pp
Tx 1/pp 423-438, Rx 2/pp 321, Tx2/pp 70 - 85
Tx 1/pp 452-461, Rx 1/pp 162, Tx 2/pp 157
Antenna characteristics: Radiation pattern, Beam solid angle, Directivity, Gain
Tx 1/pp530-534,536,544- 548,539,572-574, Tx 2/pp 09-23, Rx 1/pp28,39,
Tx 1/pp578, 572-574, Rx 1/pp 73,64, Tx 2/pp 447,
Tx 1/pp 556-559, Tx 2/pp 259,655, Rx 1/pp 63,
Tx 1/pp 548 – 553, Rx 1/pp 81-84, Rx 2/pp 44, 517
Tx 1/pp 554-556, 579-582, Rx 2/pp518, Tx 2/pp 25 – 30,44 – 45
Expression for electric field from two ,three and N element arrays
Tx 1/pp 606-611,614-626, Tx 2/pp 100-107,115-121, Rx 1/pp 250-
Linear Array :Broad side & End fire array BB
Tx 1/pp 602-604, Rx 1/pp 262-266, Rx 4/pp 89-
Space Wave Propagation: Reflection from ground for vertically and horizontally polarized waves
Tx 1/pp 1152-1157, Tx 2/pp 799-
Reflection characteristics of earth- Resultant of direct and reflected ray at the receiver
Tx 1/pp 1157-1159, Tx 2/pp 803-
Sky wave propagation: Structure of the ionosphere
Tx 1/pp 1112,1115-1116, Tx 2/pp 815-
Effective dielectric constant of ionized region, Mechanism of refraction
Tx 1/pp 1117-1119,1121, Tx 2/pp 816-
Refractive index, Critical frequency, Skip distance, Maximum usable frequency
Tx 1/pp 1119-1121,1122- 1123,1144-1145,1139-1143, Tx 2/pp822-
Tx 1/pp 1147-1148, Tx 2/pp 812-813, Rx 4/pp 324
Tx 1/pp 1149, Rx 4/pp 320
K.S.R. COLLEGE OF ENGINEERING (Autonomous), TIRUCHENGODE – 637 215 DEPARTMENT OF ELECTRONICS AND COMMUNICATION ENGINEERING 16EC611 ANTENNA & WAVE PROPAGATION QUESTION BANK
1. Define an antenna. (Remembering) Antenna is a transition device or a transducer between a guided wave and a free space wave or vice versa. Antenna is also said to be an impedance transforming device. 2. What is vector potential? State the expression for vector potential for time varying field. (Remembering) The vector potential is a quantity with magnitude and a direction. This is useful to find the magnetic flux density B and intensity H. The vector potential can be expressed as,
Where, μ = Permeability Idl = current element r = distance between point “P” to the current element
3. What are retarded Vector potentials?Give its expression. (Remembering) (AU-June 2014) (AUT-June 2015) There is a finite time delay for propagation of an electromagnetic wave from a source point to the observation point.The effect of this propagation delay is introduced in vector and scalar potentials by simply substituting the time variable ‘t’ by a variable {t-r/c}.The potentials at the observation point are delayed or retarded by this time delay are known as retarded potentials. The expression for retarded vector potential is,
[A] = dv
4. What do you understand by retarded current? (Remembering) Since, the short electric dipole is so short, the current which is flowing through the dipole is assumed to be constant throughout its length. The effect of this current is not felt instantaneous at a distance point but only after an interval equal to the time required for the wave to propagate over the distance “r” is called the retardation time. 5. Show an expression for retarded current. (Understanding) [I]=I (^) m sinω[t-r/c] Where r =distance travelled c=velocity of propagation [I]=Retarded current and the bracket indicate that it is retarded current t-r/c=retarded time as phase of the wave at point P is retarded with respect to the phase of the current in the element by an angle ωr/c. 6. Define retardation time?(Remembering) It is the time for the wave to propagate over the distance r. It is given by r/c. 7. What are wire antennas and give its applications? (Remembering) Dipole antenna, loop antenna, helix antenna are some of the wire antennas, It can be used on automobiles, buildings, ships, aircrafts, spacecraft etc... 8. What is a Short Dipole? (Remembering) A short dipole is one in which the field is oscillating because of the oscillating voltage and current. It is called so because, the length of the dipole is short and the current is almost constant throughout the entire length of the dipole. It is also called as Hertzian Dipole, which is a hypothetical antenna and is defined as a short isolated conductor carrying uniform alternating current. 9. How radiations are created from a short Dipole? (Remembering) The dipole has two equal charges of opposite sign oscillating up and down in a harmonic motion. The charges will move towards each other and electric filed lines were created. When the charges meet at the midpoint, the field lines cut each other and new field are created. This process is spontaneous and so more fields are created around the antenna. This is how radiations are obtained from a short dipole. 10. Why a short dipole is also called an elemental dipole? (Remembering) A short dipole that does have a uniform current will be known as the elemental dipole. Such a dipole will generally be considerably shorter than the tenth wavelength maximum specified for a short dipole. Elemental dipole is also called as elementary dipole, elementary doublet and Hertzian dipole.
23. Identify the expression for the effective aperture of a short dipole. (Applying) The effective aperture of a short dipole is given by Ae = 0.119λ^2 24. What is a dipole antenna? (Remembering) A dipole antenna may be defined as a symmetrical antenna in which the two ends are at equal potential relative to the midpoint. The dipole is usually fed at the centre having maximum current at the centre. That is maximum radiation is in the plane normal to the axis. 25. What is a half wave dipole? (Remembering) A half wave antenna is the fundamental radio antenna of metal rod or tubing or thin wire which has a physical length of half wavelength (λ/2) in free space at the frequency of operation. It is one of the simplest antenna and is frequently employed as an element of the antenna array. 26. Show the expression for the effective aperture of a Half wave Dipole. (Understanding) The effective aperture of a half wave dipole is given by Ae = 0.13λ 27. What is the radiation resistance of a half wave dipole? (Remembering) The radiation resistance of a half wave dipole is given by Rr=73 ohm 28. What is a monopole antenna? (Remembering) A monopole antenna consists of one half of a dipole (usually a short vertical) antenna mounted above the earth or group (reflecting plane). It is also called as Marconi antenna or Quarter wave monopole. It is fed by a coaxial cable connected to its base. 29. How half wave dipole antenna differs from monopole dipole antenna? (Remembering) The only difference between a λ/2 antenna and a λ/4 antenna is that the dipole radiates power more or less in all directions where as monopole radiates power in a hemisphere surface (Half of the sphere) 30. What is a quarter wave monopole? (Remembering)(AU-Dec 2013, June 2014) One-quarter wavelength long .it is also called as Marconi antenna. A quarter wave monopole antennas is half of a dipole antenna placed over a grounded plane 31. Calculate the physical height of a half wave dipole (λ/2) having antenna Q of 30 and bandwidth of 10 MHz. f = Q X BW=30 X10MHz=300MHz. λ= c / f ; **ans: 0.5 m
When the normalized field strength is plotted versus Φ with constant Ѳ=π/2, the pattern is called H-plane pattern or horizontal pattern
37. Define power density. (Remembering) The power density Pd (Ѳ, Φ) is defined as power flow per unit area and is a function of the direction (Ѳ, Φ). The power density can be expressed in terms of the magnitude of the electric field intensity as,
Pd (Ѳ, Φ) = O
2
2
38. Define Beam area or Beam solid angle. (Remembering) (AUT-Dec 2016) It is the solid angle through which all the power radiated to the free space. It is a three dimensional angle formed by the major lobe. Mathematically, Beam area ΩA is defined as the integral of the normalized power pattern over a sphere.
ΩA Where, Pn(Ѳ,Φ) = normalized power ΩA = beam solid angle dΩ = Solid angle = r^2 sin Ѳ dѲdΦ steradian
39. Compare radian and Steradian. (Evaluating) Radian – One radian is defined as the plane angle with its vertex at centre of circle with radius “r” that is subtended by an arc whose length is also r. Steradian - One Steradian is defined as a solid angle with its vertex at the centre of the sphere with radius “r” that is subtended by a spherical surface area equal to that of a square with each side equal to r. 40. How is the 'STERADIAN' defined and how is it used? (Remembering) Steradian are a measure of the angular 'area' subtended by a two dimensional surface about the origin in three dimensional space, just as a radian is a measure of the angle subtended by a one dimensional line about the origin in two dimensional (plane) space. Steradian are equivalently referred to as 'square radians. It is used to measure the solid angle. 41. Motive radiation intensity (Analyzing) The radiation intensity of an antenna does not depend on the distance from the radiation (or) antenna. It is denoted by “U”. The radiation intensity is defined as “power radiated per unit solid angle”, expressed in W/S (^) r (i.e., watts/steradian).U (Ѳ, Φ) = r^2 Pd(Ѳ, Φ) 42. Show the expression for average radiation intensity. (Remembering) The radiation intensity U (Ѳ, Φ) is expressed in watts per steradian and is defined as time average power per unit solid angle. The average value of the radiation intensity is given by,
Uavg =
43. Show the expression for average power radiated. (Remembering) The expression for average power radiated is given by,
Pavg = W/m 2
44. Define Directivity? (Remembering) (AUT-Dec 2016) The directivity of an antenna is defined as the ratio of the maximum power density to the average power radiated.
GDmax G (^) Dmax = Umax /Uavg = 4π Umax /Prad
45. Define gain (Remembering) The ratio of maximum radiation intensity in given direction to the maximum radiation intensity from a reference antenna produced in the same direction with same input power. i.e Maximum radiation intensity from test antenna Gain (G)= ------------------------------------------------------------------------------------------------------ Maximum radiation intensity from the reference antenna with same input power 46. Show the relationship between Gain and Directivity? (Understanding) G=kD. Where, G=gain, k=Efficiency factor (0 to 1) and D=Directivity
58. Show the important applications of reciprocity theorem? (Understanding) Equality of directional patterns Equality of directivities Equality of effective lengths Equality of antenna impedances 59. What is meant by effective aperture or effective area? (Remembering) Area over which an antenna extracts electromagnetic energy from the incident electromagnetic waves is called effective area (or) effective aperture. Effective aperture is defined as the ratio of power radiated (or) received by the antenna to the power density of the incident wave. **Effective aperture Ae = power received/power density = Pr /S
L (^) e = Where V = Open circuit incident voltage E = Incident field strength
71. Show the expression for effective length of an antenna. (Understanding)
Le =
Where, Ae = effective aperture Rl = load resistance, Z = impedance
72. Construct the relationship between effective aperture and directivity. (Applying) The relationship between effective aperture and directivity is given by,
D == (^2) max
λ
π
Where D = directivity Aemax = effective aperture
73. Define antenna temperature. (Remembering) The antenna temperature is a parameter that depends on the temperature of the regions the antenna is ‘looking at’. Both the antenna temperature (T (^) A) and radiation resistance (Rr) are single valued scalar quantities. The expression for antenna temperature is,
Where S = Power density per unit bandwidth Ae= effective aperture, K = Boltzman’s constant = 1.38*10-
74. Show the relationship between antenna temperature and solid angle. (Understanding)
TA = (^) S A
Where ΩA = antenna beam solid angle in steradian ΩS = Source solid angle in steradian TA = Antenna noise temperature TS = source temperature in °K
75. What is meant by equivalent noise temperature of an antenna (Te)? (Remembering) It is defined as that fictional temperature at the input of the network which would account for the noise ΔN at that output. (ΔN----additional noise introduced by the network itself) 76. Show the expression for noise figure of an antenna. (Understanding) The noise figure (F) related with effective noise temperature is
F = 1 +
T (^) e = T (^) o (F-1) Where F = Noise figure (no dimension) T (^) o = 290° K
77. What is meant by radiation resistance? (Remembering) (AUT-Dec 2017) The antenna is a radiating device in which the power is radiated in to space in the form of electromagnetic waves. It is defined as the fictitious resistance which when inserted in series with the antenna will consume the same amount of power as it is actually radiated. The antenna appears to the transmission line as a resistive component nd this is known as the radiation resistance. 78. What is meant by front to back ratio? (Remembering) It is defined as the ratio of the power radiated in desired direction to the power radiated in the opposite direction. i.e FBR = Power radiated in desired direction / power radiated in the opposite direction. 79. Define antenna efficiency?(Remembering) The efficiency of an antenna is defined as the ratio of power radiated to the total input power supplied to the antenna. Antenna efficiency = Power radiated / Total input power 80. Show the expression for radiation efficiency. (Remembering) The expression for radiation efficiency is given by,
UNIT-II (CO2) ANTENNA ARRAYS
1. What is point source? (Remembering) It is the waves originate at a fictitious volume less emitter source at the center ‘O ’of the observation circle. 2. What is meant by antenna array? (Remembering) It can be achieved by combining the individual antenna radiations in desired direction and canceling the radiation in undesired direction. Such a system is called an antenna array. It may also be defined as “A radiating system consisting of several spaced and properly phased radiators”. 3. List out the salient features of antenna array? (Remembering) An antenna is a system of similar antennas oriented similarly to get greater directivity in a desired direction. It will also provide high gain in a desired direction of an antenna. 4. What is meant by uniform linear array? (Remembering) An array is linear when the elements of the array are spaced equally along the straight line. If the elements are fed with currents of equal magnitude and having a uniform progressive phase shift along the line, then it is called uniform linear array. 5. What are the types of antenna array? (Remembering) Broad side array. End fire array Collinear array. Parasitic array
6. What is Broad side array?(Remembering) (AUT-June 2015,Dec 2017) Broad side array is defined as an arrangement in which the principal direction of radiation is perpendicular to the array axis and also the plane containing the array element. For Broad side array the phase difference adjacent element is d = 0. Elements are placed parallel to each other and perpendicular to array axis and elements is fed with current of equal magnitude and same phase. 7. Define End fire array(Remembering) (AU-Dec 2013) (AUT-Dec 2017) End fire array is defined as an arrangement in which the principal direction of radiation is coincides with the array axis. For End fire array δ = - βd Where β = 2π/λ d = Distance between the elements 8. What is collinear array? (Remembering) In this array the antenna elements are arranged coaxially by mounting the elements end to end in straight line or stacking them one over the other with radiation pattern circular symmetry. **Eg.Omni directional antenna.
Array factor =
The factor by which the array increases the field strength over that of single element radiating the same total power.
13. Define beam width of major lobe? (Remembering) It is defined the angle between the first nulls (or) it is defined as twice the angle between the first null and the major lobe maximum direction. **Beam width (BW) = 2 X angle between first null and maximum of major lobe BW = 2 γ
In this number of identical antennas are spaced equally along a line parallel to their respective axis. Individual elements are fed with current of equal amplitude and phase
Individual elements are fed with current of equal amplitude and out of phase Radiates perpendicular to the axis Radiates parallel or along the axis. Narrow beam width Wide Beamwidth
16. What is mean by Half Power Point Direction (HPPD)? (Remembering) At half power points, power is ½ (or) voltage and currents is 1/√2 times the maximum value. **i.e.,, E = ± 1/√
1. Antenna is fed in phase d = 0 Antenna elements are fed with ±βd 2. Maximum radiation is perpendicular along the direction of array axis
Maximum radiation is along the array axis
Beam width of major lobe is twice the reciprocal of array axis,+2l/nd
Beam width is greater than that for that of a broad side array with increased directivity
31. What is mean by phased array?(Remembering) The array in which the phase and the amplitude of most of the elements is variable, provided that the direction of maximum radiation and pattern shape along with the side lobe is controlled. 32. What is mean by frequency scanning array?(Remembering) (AU-Dec 2013) The array in which the phase change is controlled by varying the frequency. The is found to be the simplest phased array as at each element separate phase control is not necessary. 33. What is mean by retro array?(Remembering) The array which automatically reflects an incoming signal back to the source.It acts as a retro reflector similar to the passive square corner reflector. 34. What is mean by adaptive array?(Remembering) An array which automatically turn the maximum beam in the desired direction while turn the null in the undesired direction. The adoptive array adjust itself in the desired direction with awareness of its environment. 35. What are the conditions to obtain end fire array pattern? (Remembering) End fire array is defined as an arrangement in which the principal direction of radiation coincides with the array axis. For end fire array, δ = - βd Where, δ = Phase difference of the current fed between the sources of the end fire array d = Distance between the elements 36. List the features of adaptive arrays. (Analyzing)(AUT-June 2015) An adaptive antenna is type of smart antenna, its “smart” because it improves on the traditional antenna by adjusting for traffic patterns at a given time to **increase signal strength and quality.
It has narrow bandwidth. Efficiency is very small.
20. List out the advantages of helical antenna. (Analyzing) N-turn helix is an end fire array of “n” sources. Helix not only has a nearly uniform resistance input over a wide bandwidth but it also operates as a super gain end fire array over the same bandwidth. It is non critical with respect to conductor size and turn spacing, therefore can achieve circular polarization over a wide bandwidth. It is easy to use in arrays because of almost negligible mutual impedance. 21. List out the applications of helical antenna. (Analyzing)(AU-Dec 2013) The applications of helical antenna are: It became the workhouse of space communications for telephone, television and data, being employed both on satellites and at ground stations Many satellites including weather satellites, data relay satellites all have helical antennas It is on many other probes of planets and comets, including moon and mars, being used alone, in arrays or as feeds for parabolic reflectors, its circular polarization and high gain and simplicity making it effective for space application. 22. What is YagiUda antenna? (Remembering) It is an array of a driven element, a reflector and one or more directors. If three-element array are used then such a type of Yagiuda is referred to as beam antenna. This is the most common antenna used for TV reception. The gain of the antenna is around 7 db and its radiation pattern is very much directive in one direction(normally receiving direction). 23. What do you mean by parasitic element? (Remembering) The passive elements which are not connected directly connected to the transmission line but are electrically coupled are called as parasitic elements. 24. What do you mean by driven elements? (Remembering) Driven elements are an active element where the power from the transmitter is fed or which feeds the received power to the receiver. 25. Why folded dipole antenna is used in Yagi antenna? (Remembering) The folded dipole has high input impedance. If the distance between the driven and parasitic element is decreased, it will load the driven element so input impedance of driven element reduces. But this will be compensated. 26. What is the function or action of reflector in Yagiuda antenna? (Remembering) The radiation coming from the front at the reflector is absorbed and it retransmits the radiation towards the dipole in such a way that it adds with the incoming signal. For any radiations coming from the back side, reflector retransmits the radiation in such a way that it is out of phase with the direct radiation from back side at dipole and hence they cancel each other. 27. What is the function or action of director in Yagiuda antenna? (Remembering) For the radiation coming from the front, the director generates its own radiation in such a way that it adds with this radiation at dipole and increases signal strength. For radiations coming from the back side, director generates its own radiation such that it cancels the radiation from back at dipole. 28. List out the optimum specification of a three element of YagiUda antenna. (Analyzing) Length of driven element=0.45λ to 0.49 λ Length of director= 0.4 λ to 0.45 λ Length of reflector= 0.5 λ Spacing b/w reflector & driven element= 0.1 λ to 0.25 λ Spacing b/w director & driven element= 0.2 λ to 0.4 λ 29. List out the various design parameters in 3-element Yagi array antenna. (Remembering) Reflector length = 500/f (mHz) feet (or) 152/f(mHz) meters Driven element length = 475/f (mHz) feet (or) 143/f(mHz) meters Director length = 455/f (mHz) feet (or) 137/f(mHz) meters 30. List the merits & demerits of YagiUda antenna.(Analyzing) Merits: Light weight & low cost High directivity Unidirectional radiation Simple construction Demerits: It is sensitivity to frequency Bandwidth is reduced if we increase number of elements.
31. Show the various applications of YagiUda antenna.(Analyzing) Used in television reception Used as a transmitter for low frequency applications 32. Design a three element Yagi-Uda antenna to operate at a frequency of 200 MHA. (Creating) Given: f = 200MHZ λ = C/f
6
8
The length of the driven element Ld = 478/f(MHZ) = 478/200 = 2.39 feet Length of the reflector Lr = 492/f(MHZ) = 492/200 = 2.46 feet Length of the director Ld = 461.5/f(MHZ) = 461.5/200 = 2.30 feet Element spacing S = 142/f(MHZ) = 142/200 = 0.71 feet
33. What is a frequency independent antenna? (Remembering) (AU-June 2014) If the structure of the antenna is defined in terms of angles only, then it comes under the category of frequency independent antenna. In any frequency independent antenna, the characteristic like impedance, radiation pattern and directivity are independent of frequency. **Eg, Log periodic antenna, Spiral antenna
= = τ
n n
n
37. What are the different regions in log periodic antenna and how are they differentiated? (Remembering) Inactive transmission line region – L< λ/2 – high capacitive impedance Active region – L = λ/2 – offers resistive impedance Inactive reflective region – L>λ/2 – offers inductive impedance 38. List the design parameters of a Log periodic antenna. (Analyzing) (AUT-June 2017) Apex angle α Design ratio τ Spacing factor σ 39. Show the expression for α, τ, σ of Log periodic antenna. (Understanding) Design ratio: Relates the position of a dipole elements from the origin Spacing factor: Ratio of the separation b/w adjacent dipoles to the length of the dipole. σ=1- τ/4 tan α/2 or Ln /Ln+1=R (^) n /Rn+ Acute angle: α=2 tan-1^ (1- τ/4 σ) where τ=Design ratio= Sn/2L (^) n 40. What are the applications of log periodic antenna? (Remembering) HF communication Television reception All round monitoring 41. What is rhombic antenna? (Remembering) An antenna which consists of four straight wires arranged in the shape of diamond, suspended horizontally above the surface of the earth is called as a rhombic antenna. It is otherwise called as diamond antenna or traveling wave antenna. 42. List some special features of rhombic antenna. (Remembering) The terminating resistance used may have the value 600Ω to 800Ω. Terminating resistance is a non inductive with a negligible value of capacitance. For low power systems, the ordinary resistor can be used as the terminating resistor. The typical value of power loss is 35 to 50% in terminating resistor leading to a power gain of 50 to 60.