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Only question 4.3-3

Only question 4.3-3

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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Only question 4.3-3

expression reduces to (4-12) for a conjugate match. dem. (b) Show that the 4.2-4 (a) Write an equation in dB form for antenna factor based on (4-13), and (b) Use the formula to calculate the antenna factor value in dB/m of a receiving antenna connected to a spectrum analyzer by a cable with 8 dB loss. The voltage measured at the spectrum analyzer (with a 50-Ohm input impedance) is 40 dBµV. The incident wave is matched to the antenna and has an intensity of 60 dBµV/m. 4.3-1 An Earth-based radiometer has an antenna beamwidth of HP = 0.079° that when centered on Mars measures an antenna temperature of 0.8 K at 9.5 GHz. Mars appears as a circular disk subtending an angle of 0.005°. Find the equivalent source temperature of Mars. 4.3-2 The main beam of an antenna with directivity of 40 dB is aimed and centered on the sun, which subtends an angle of 0.5°. Calculate the contribution to antenna temperature from the sun at 12 GHz, where the noise temperature of the sun is about 6,000 K. 4.3-3/Calculate the noise power in dBW out of an antenna at 5 GHz in a bandwidth of 1.5 MHz for the limiting conditions of elevation angles of 0° and 90°. 4.4-1 Derive an expression for the maximum effective aperture for an isotropic antenna. Compare to that for a short dipole. 4.4-2 (a) Derive an expression for antenna effective length based on (4-12) that uses direc- tivity instead of maximum effective aperture. Note that antenna ohmic losses are included by using gain in place of directivity. (b) Evaluate the expression for an ideal dipole. (c) Evaluate the effective length of a half-wave dipole at 100 MHz. Compare to the actual physical length. 4.4-3 (a) Find the effective aperture expression in terms of 1 for a lossless isotropic antenna. (b) Repeat (a) for a short dipole and compare to the Example 4.2 result. (c) Repeat (a) for a half-wave dipole. (d) Evaluate the effective aperture for a half-wave dipole at 100 MHz and compare to its physical area assuming a 3-mm wire diameter. 4.4-4 Calculate the beam solid angle 2, for an ideal dipole in steradians (square radians) and in square degrees. Use the fact that Aem = 0.119 2² for an ideal dipole. 4.4-5 Suppose a transmitting antenna produces a maximum far-zone electric field in a certain The input
Transcribed Image Text:expression reduces to (4-12) for a conjugate match. dem. (b) Show that the 4.2-4 (a) Write an equation in dB form for antenna factor based on (4-13), and (b) Use the formula to calculate the antenna factor value in dB/m of a receiving antenna connected to a spectrum analyzer by a cable with 8 dB loss. The voltage measured at the spectrum analyzer (with a 50-Ohm input impedance) is 40 dBµV. The incident wave is matched to the antenna and has an intensity of 60 dBµV/m. 4.3-1 An Earth-based radiometer has an antenna beamwidth of HP = 0.079° that when centered on Mars measures an antenna temperature of 0.8 K at 9.5 GHz. Mars appears as a circular disk subtending an angle of 0.005°. Find the equivalent source temperature of Mars. 4.3-2 The main beam of an antenna with directivity of 40 dB is aimed and centered on the sun, which subtends an angle of 0.5°. Calculate the contribution to antenna temperature from the sun at 12 GHz, where the noise temperature of the sun is about 6,000 K. 4.3-3/Calculate the noise power in dBW out of an antenna at 5 GHz in a bandwidth of 1.5 MHz for the limiting conditions of elevation angles of 0° and 90°. 4.4-1 Derive an expression for the maximum effective aperture for an isotropic antenna. Compare to that for a short dipole. 4.4-2 (a) Derive an expression for antenna effective length based on (4-12) that uses direc- tivity instead of maximum effective aperture. Note that antenna ohmic losses are included by using gain in place of directivity. (b) Evaluate the expression for an ideal dipole. (c) Evaluate the effective length of a half-wave dipole at 100 MHz. Compare to the actual physical length. 4.4-3 (a) Find the effective aperture expression in terms of 1 for a lossless isotropic antenna. (b) Repeat (a) for a short dipole and compare to the Example 4.2 result. (c) Repeat (a) for a half-wave dipole. (d) Evaluate the effective aperture for a half-wave dipole at 100 MHz and compare to its physical area assuming a 3-mm wire diameter. 4.4-4 Calculate the beam solid angle 2, for an ideal dipole in steradians (square radians) and in square degrees. Use the fact that Aem = 0.119 2² for an ideal dipole. 4.4-5 Suppose a transmitting antenna produces a maximum far-zone electric field in a certain The input
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