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 /6 ≤0 ≤/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)2] of the patch [in square radians/steradians and in (degrees)²]. • Exact. . Approximate using 2 = AO AD= (0₂-0₁) - (₂-₁). Compare with the exact.

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2.1. 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 /6 ≤0 </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)²] of the patch [in square radians/steradians and in (degrees)²].
• Exact.
●
Approximate using 2 = AO AD= (0₂-0₁)-(₂-₁). Compare with the exact.
(b) Corresponding antenna maximum directivities of part a (dimensionless and in dB).
Transcribed Image Text:2.1. 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 /6 ≤0 </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)²] of the patch [in square radians/steradians and in (degrees)²]. • Exact. ● Approximate using 2 = AO AD= (0₂-0₁)-(₂-₁). Compare with the exact. (b) Corresponding antenna maximum directivities of part a (dimensionless and in dB).
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