GATE EC 1999 Electromagnetics Solution Q 7

# GATE EC 1999 Electromagnetics Solution Q 7

A transmitting antenna radiates 251 W isotropically. A receiving antenna, located 100 m away from the transmitting antenna, has an effective aperture of 500 cm2. The total power received by the antenna is_____.

(a) 10 \mu W

(b) 1 \mu W

(c) 20 \mu W

(d) 100 \mu W

Ans :- (d)

Explanation

Intensity of EM wave at 100 m away is given as –

=\frac{251}{4\pi\times100^2}W/m^2

So Power is given as –

=\frac{251}{4\pi\times100\times100}\times500\times10^{-4}\;watt =100\;\mu W

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