## Related questions with answers

What is the Poynting vector at a distance of $12.0 \mathrm{~km}$ from a radio tower that transmits $3.00-10^4 \mathrm{~W}$ of power? Assume that the radio waves that hit the Earth are reflected back into space. a) Are the radio waves coming from this transmitter polarized or not? b) What is the root-mean-square value of the electric force on an electron at this location?

Solution

VerifiedWe will use equation for magnitude of Poynting vector at distance $r$ from the source of electromagnetic waves to solve first part of the problem. We will discuss whether the radio waves emitted from the radio tower are polarized in part $a)$ of the problem. We will calculate root-mean-square value of electric field from the determined magnitude of Poynting vector (intensity) of the electromagnetic waves at mentioned distance. We will multiply obtained rms value of electric field by charge of the electron to obtain root-mean-square value of force on electron on that distance.

The given values are:

$P=3 \cdot 10^{4} \mathrm{~W}$

$r=12 \mathrm{~km}$

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