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Question

A radio transmitter emits a time-average power of 5.0 kW5.0 \mathrm{~kW} in the form of a radio wave with uniform intensity in all directions. What are the amplitudes of the electric and magnetic fields of this radio wave at a distance of 10 km10 \mathrm{~km} from the transmitter?

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Understanding the Problem:

We are given the following quantities:

  • the power emitted by the transmitter (Pˉ=5.0×103 W\bar{P} = 5.0 \times 10^{3} \text{ W}), and
  • the distance from the transmitter (r=10×103 mr = 10 \times 10^{3} \text{ m}).

Given that the transmitter radiates power uniformly in all directions, we are asked to find the electric (E0E_{0}) and magnetic field amplitudes (B0B_{0}).

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