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Electromagnetic theory miscellaneous

Electromagnetic Theory

  1. A transmitting antenna radiates 251 watt isotropically. A receiving antenna locating 100 m away from the transmitting antenna has an effective aperture of 500 cm2. The total received power by the antenna is—
    1. 10 µW
    2. 20 µW
    3. 1 µW
    4. 100 µW
Correct Option: D

PR = PT GT GR (λ/4πd)2
where
GR = 1
GT = 1 (for isotropic antenna)
PT = 251 watt (given)
Aeff = 500 cm2 = 500 × 10–4 m2
d = 100 m
Now,
PR = 251 × 1 × 1 × 4π/λ2

500 × 10–4
λ2
= 9.99 × 10–5 = 100 µW
(4π)2 × 100 × 100



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