1) An antenna has a beam solid angle that is equivalent to a trapezoidal patch (patch with 4 sides, 2 of which are parallel to each other) on the surface of a sphere of radius r. The angular space of the patch on the surface of the sphere extends between л/6≤0≤л/3 (30 ≤0≤60') in latitude and / 4≤≤/3 (45≤≤60") in longitude. Find the following: (a) Equivalent beam solid angle [which is equal to number of square radians/steradians or (degrees)] of the patch [in square radians/steradians and in (degrees)²]. - Exact. - Approximate using ₁ = AO AO = (02-01) (21). Compare with the exact. (b) Corresponding antenna maximum directivities of part a (dimensionless and in dB).

Delmar's Standard Textbook Of Electricity
7th Edition
ISBN:9781337900348
Author:Stephen L. Herman
Publisher:Stephen L. Herman
Chapter14: Basic Trigonometry And Vectors
Section: Chapter Questions
Problem 1RQ: 1. Which trigonometric function is used to find the angle if the length of the hypotenuse and of the...
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1) An antenna has a beam solid angle that is equivalent to a trapezoidal patch (patch with 4 sides, 2
of which are parallel to each other) on the surface of a sphere of radius r. The angular space of the
patch on the surface of the sphere extends between л/6≤0≤л/3 (30 ≤0≤60') in latitude and /
4≤≤/3 (45≤≤60") in longitude. Find the following:
(a) Equivalent beam solid angle [which is equal to number of square radians/steradians or
(degrees)] of the patch [in square radians/steradians and in (degrees)²].
- Exact.
- Approximate using ₁ = AO AO = (02-01) (21). Compare with the exact.
(b) Corresponding antenna maximum directivities of part a (dimensionless and in dB).
Transcribed Image Text:1) An antenna has a beam solid angle that is equivalent to a trapezoidal patch (patch with 4 sides, 2 of which are parallel to each other) on the surface of a sphere of radius r. The angular space of the patch on the surface of the sphere extends between л/6≤0≤л/3 (30 ≤0≤60') in latitude and / 4≤≤/3 (45≤≤60") in longitude. Find the following: (a) Equivalent beam solid angle [which is equal to number of square radians/steradians or (degrees)] of the patch [in square radians/steradians and in (degrees)²]. - Exact. - Approximate using ₁ = AO AO = (02-01) (21). Compare with the exact. (b) Corresponding antenna maximum directivities of part a (dimensionless and in dB).
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