Answer to Question #239573 in Electrical Engineering for amalkhan

Question #239573
Assume an isotropic antenna operating at 10 GHz, find the effective area and antenna gain.
1
Expert's answer
2021-09-21T02:06:09-0400

The effective area 

"A_e=k \\frac{\\pi D^2}{4}\\\\\n46=10 \\log_{10} k(\\frac{\\pi D^2}{\\lambda})^2\\\\\n\\frac{\\pi D^2}{\\lambda}=269.04\\\\\nD=\\frac{269.04* \\lambda}{\\pi}=\\frac{269.04* 0.025}{3.14}=2.14\\\\\n\\therefore A_e=k \\frac{\\pi D^2}{4}= \\frac{0.55*3.14*2.14^2}{4}=1.98 m^2\\\\"


Antenna gain

"G=10 \\log_{10} k(\\frac{\\pi D^2}{\\lambda})^2\\\\\nG=10 \\log_{10} *0.55*(\\frac{3.14* 30}{0.075})^2\\\\\nG=59.38dB"


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