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If the distance between the transmitting and receiving antenna is decreased by a factor 2 while other factors remain same, then the new power received by the antenna _______(a) increases by factor 2(b) decreases by factor 2(c) increases by factor 4(d) decreases by factor 4This question was posed to me during an interview.I want to ask this question from Friis Transmission Equation topic in division Antenna Parameters of Antennas

Answer»

Right option is (c) INCREASES by FACTOR 4

The explanation: From Friss transmission equation, \(P_r=P_t\frac{G_t G_r \lambda^2}{(4πR)^2}\)

\(\frac{P_{r1}}{P_{r2}} = \frac{R_2^2}{R_1^2} = \frac{(R/2)^2}{R^2} = \frac{1}{4}\)

Pr2=4Pr1.



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