"Detail the solution to the question with an explanation of the integration." The normalized far-zone power pattern of an antenna is given by for 0≤0≤ and 0≤≤/2,3/2≤≤2, U(0,0)=sine (cos0)2 elsewhere Find the directivity using the exact expression, HPBW in both azimuth and elevation

Find cut.off frequency.

A plane wave of frequency 1 GHz is travelling through a block of Teflon having & = 2.1, μr = 1 and o = 0. Find out the following. a) Phase velocity. b) Intrinsic impedance. c) Wavelength. d) Wavenumber.

The antenna current produced by an unmodulated carrier is 2.4 A into an antenna with a resistance of 75 ohms. When amplitude- modulated, the antenna current rises to 2.7 A. What is the percentage of modulation?

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Q7. A sinusoid wave of frequency vm = 10 kHz is used to frequency modulate a carrier wave of frequency ve = 96 MHz with a a peak frequency deviation Av = 24 kHz. (a) Does this modulation correspond to narrowband or wideband FM? (b) Using the plots of Bessel functions in figure Q7 and the recursive relation for Bessel functions of the first kind, 2n Jn-1(B) + Jn+1(ß) Jn(B) or otherwise, determine the relative amplitude of the the carrier and the significant sidebands. (c) Sketch the power spectrum of this FM waveform. (d) State Carson's rule for determining the number of significant sidebands. (e) What is the maximum bandwidth given by Carson's rule for this modulated waveform? (f) Compare the bandwidth of your calculated power spectrum in part (c) with the maxi- mum bandwidth given by Carson's rule. (g) What is the equivalent AM modulation index obtained if this signal is demodulated with a high-pass RC filter discriminator? 1.0 Jo(x) 0.8 - J1(x) 0.6 0.4 0.2 0.0 6. 7. 10 () -0.2 1 -0.4…

Handwrite and step by step solutions

The directivity of an antenna is 12 dB. What will be the beam solid angle of the antenna? Express the answer in steradian.

Q2 You are an antenna engineer and you are asked to design a high directivity/gain antenna for a space-borne communication system operating at 10 GHz. The specifications of the antenna are such that its pattern consists basically of one major lobe and, for simplicity, no minor lobes (if there are any minor lobes they are of such very low intensity and you can assume they are negligible/zero). Also it is desired that the pattern is symmetrical in the azimuthal plane. In order to meet the desired objectives, the main lobe of the pattern should have a half-power beamwidth of 10 degrees. In order to expedite the design, it is assumed that the major lobe of the normalized radiation intensity of the antenna is approximated by U (0, p) = cos" (0) And it exists only in the upper hemisphere (0 ≤ 0 ≤+2,0≤p≤ 2л). Determine the: (a) Value of n (not necessarily an integer) to meet the specifications of the major lobe. Keep 5 significant figures in your calculations. (b) Exact maximum directivity of…

Q7. A sinusoid wave of frequency vm = 10 kHz is used to frequency modulate a carrier wave of frequency vc = 96 MHz with a a peak frequency deviation Ay = 24 kHz. (a) Does this modulation correspond to narrowband or wideband FM? (b) Using the plots of Bessel functions in figure Q7 and the recursive relation for Bessel functions of the first kind, 2n Jn-1(B) + Jp+1 (B) = (6) or otherwise, determine the relative amplitude of the the carrier and the significant sidebands. (c) Sketch the power spectrum of this FM waveform. (d) State Carson's rule for determining the number of significant sidebands. (e) What is the maximum bandwidth given by Carson's rule for this modulated waveform? (f) Compare the bandwidth of your calculated power spectrum in part (c) with the maxi- mum bandwidth given by Carson's rule. (g) What is the equivalent AM modulation index obtained if this signal is demodulated with a high-pass RC filter discriminator? 1.0 Jo(x) 0.8 J1 (x) - 0.6 0.4 - 0.2 0.0 5/ 7 8 () -0.2 1 3…