Question

A
space mission is launched and the spacecraft has been sent with a
half-wave dipole antenna operating at a frequency f. The ground
station has an identical antenna to communicate to the spacecraft.
After a period of time it is noticed that communication from the
space craft is lost when it is at a certain distance, R, from the
ground based antenna. As a solution to this, the ground station
antenna is replaced with an antenna of 120dB gain, transmitting the
same amount of power. Calculate the distance, D at which
communication from the space craft will be lost again? Assume both
antennas are ideal.

Answer #1

**Answer :**

**Given data :**

Ground station antenna is replaced by antenna of 12p dB gain.

We know that Intensity of a signal is the ratio of power and area as,

When we measure in decibal, then

where

I = Intensity at a distance D

*
= Intensity at a distance R*

*We know that, 120 dB gain*gain antenna is installed
then, putting in above data we can say that

so

So

Note that , Log is on base 10, so

So

**the distance, D at which communication from the space
craft will be lost again is**

** **

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scores.**

Thanks

Have a nice day

****

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