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# Solution: How much power reaches the antenna?

#### Problem Statement: Transmission and Antenna Systems

Antenna Problem Solving

A transmitter has an output power of 50 W. It is connected to its antenna by a feed line that is 25 m long and properly matched. The loss in the feedline is 5 dB/100m. The antenna has a gain of 8.5 dBi.

a) How much power reaches the antenna?

b) What is the EIRP in the direction of maximum antenna gain?

c) What is the power density 1 km from the antenna, in the direction of maximum gain, assuming free-space propagation?

a) The power reaches the antenna is equal to 54.23 dBm

b) The EIRP in the direction of maximum antenna gain is equal to 133 W

c) The power density 1 km from the antenna, in the direction of maximum gain, is equal to 10.58 ยตW/m^2.

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