I have just started learning about wireless systems and for some reason I'm hung up on what I feel is a fundamental idea.
Consider some transmitter-receiver pair with isotropic antennas. The receiver needs some minimum power (say, Pr), and knowing the transmit power (Pt) and the frequency, I can determine the maximum working distance R between the transmitter and the receiver via the path loss and link budget equations.
Now knowing R, I decide to set up two of the same receiver as before, each a distance R from the transmitter. Will my system still work, or does the transmit power Pt need to scale up with the number of receivers? What about for an arbitrarily large number of receivers?
I'm torn between thinking that the system couldn't possibly work because it does not seem to obey conservation of energy, and that it should work because the EM waves are radiating in all directions, so I was not "using" all of the power in the first place. Any clarifications would be welcome, especially if you can link sources. Thanks!