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Show that for an isotropic radiator, the directive gain is equal to unity.

Show that for an isotropic radiator, the directive gain is equal to unity.

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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Show that for an isotropic radiator, the directive gain is equal to unity. 

Expert Solution
Step 1

An isotropic radiator radiates efficiently in all possible directions. 

The directive gain of an isotropic radiator depends on the beam solid angle and it can be expressed as

D=4πΩA--->(1) where ΩA is the beam solid angle in steradians. 

Since an isotropic radiator radiates in all possible directions, the beam solid angle for an isotropic radiator will be

ΩA=4π steradian

 

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