Find the maximum directivity of an antenna whose power density is given by $$W_{rad}= \hat{a} \frac{A_{o} \sin \theta}{r^{2}}$$ $$\frac{W}{m^{2}}$$ where $$A_{o}$$ is peak value of power density $$\theta$$ is the usual spherical coordinate and $$hat{ar}$$ is the radial unit vector
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