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Problems 2

The document outlines a tutorial for a course on Antenna and Wave Propagation, focusing on problems related to fundamental parameters of antennas and dipole antennas. It includes various calculations involving radiation efficiency, beamwidth, power delivery, and received power in different scenarios. The tutorial is prepared by Dr. Rishi Prakash from the Department of ECE at Graphic Era University.

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15 views1 page

Problems 2

The document outlines a tutorial for a course on Antenna and Wave Propagation, focusing on problems related to fundamental parameters of antennas and dipole antennas. It includes various calculations involving radiation efficiency, beamwidth, power delivery, and received power in different scenarios. The tutorial is prepared by Dr. Rishi Prakash from the Department of ECE at Graphic Era University.

Uploaded by

shivamkumarrr15
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
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Download as PDF, TXT or read online on Scribd
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Course on Antenna and Wave Propagation (TEC 504)

Tutorial (Problems related to fundamental parameters of antenna and Dipole Antenna)

1. Calculate the radiation efficiency of an antenna if the input power is 100 W and power dissipated in it is 1
W.

2. Calculate the beamwidth in the x-y and y-z planes of an antenna the power pattern of which is given by
 sin 2  sin  0     ; 0    
U  ,   
0 0     ;     2

3. The output power of a 900 MHz mobile phone base station transmitter is 100 W. It is connected to an
antenna having a gain of 15 dBi by a cable that has loss of 3 dB. Calculate the power delivered to the
receiver kept at a distance of 25 km. Gain of the receiver antenna is -1 dB. Assume that the system is
impedance matched as well as polarization matched.

4. Two X-band (8.2–12.4 GHz) rectangular horns, with aperture dimensions of 5.5 cm and 7.4 cm and each
with a gain of 16.3 dB (over isotropic) at 10 GHz, are used as transmitting and receiving antennas.
Assuming that the input power is 200 mW, the VSWR of each is 1.1, the conduction-dielectric efficiency
is 100%, and the antennas are polarization-matched, find the maximum received power whenthe horns are
separated in air by (a) 5 m (b) 50 m (c) 500 m

5. In a long-range microwave communication system operating at 9 GHz, the transmitting and receiving
antennas are identical, and they are separated by 10,000 m. To meet the signal-to-noise ratio of the
receiver, the received power must be at least 10 μW. Assuming the two antennas are aligned for maximum
reception to each other, including being polarization-matched, what should the gains (in dB) of the
transmitting and receiving antennas be when the input power to the transmitting antenna is 10 W?

6. A λ/2 dipole situated with its center at the origin radiates a time-averaged power of 600 W at a frequency
of 300 MHz. A second λ/2 dipole is placed with its center at a point P (r, θ, φ), where r = 200 m, θ =
90◦, φ = 40◦. It is oriented so that its axis is parallel to that of the transmitting antenna. What is the
available power at the terminals of the second (receiving) dipole?

7. A half-wave dipole is radiating into free-space. The coordinate system is defined so that the origin is at the
center of the dipole and the z-axis is aligned with the dipole. Input power to the dipole is 100 W.
Assuming an overall efficiency of 50%, find the power density (in W/m2) at r = 500 m, θ = 60◦, φ = 0◦.

8. A 6 cm long z-directed dipole carries a current of 1 A at 2.4 GHz. Calculate the electric and magnetic
strengths at a distance of 50 cm along θ = 60°.

9. Two half-wave dipole operating at 2.4 GHz are used to establish a wireless communication link. The
antennas are matched to the transmitter and the receiver, respectively. The maximum transmit power is
100 mW and for reliable communication the received power has to be at least -80 dBm. Calculate the
maximum possible distance over which reliable communication can be established using this system.

10. Calculate the radiation efficiency of a half wave dipole if the loss resistance is 1 Ω. What is its maximum
effective aperture if the frequecy of operation is 145 MHz.
11. An infinitesimal magnetic dipole of constant current Im and length l is symmetrically placed about the
originalon g the z-axis. Find the
(a) spherical E- and H-field components radiated by the dipole in all space
(b) directivity of the antenna

Prepared by: Dr. Rishi Prakash, Associate Professor, Dept. of ECE, Graphic Era University, Dehradun

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