Physics: An airplane flying at a distance of 9.9 km from a radio transmitter receives a signal of intensity 12 μw/m2. what is the amplitude of the (a) electric and (b) magnetic component of the signal at the airplane? (c) if the transmitter radiates uniformly over a hemisphere, what is the transmission power?

3 - aquifers are permeable rock so they contain groundwater...

An airplane flying at a distance of 9.9 km from a

Ответ:

cfigueroablan

09.01.2022

Physics

0.09511 V/m

$3.17033\times 10^{-10}\ T$

7389.7799 W

Explanation:

I = Intensity of signal = $12\times 10^{-6}\ W/m^2$

$\epsilon_0$ = Permittivity of free space = $4\pi \times 10^{-7}\ H/m$

c = Speed of light = $3\times 10^8\ m/s$

A = Area of the hemisphere

Intensity of Electric field

$I=\frac{E^2}{2\times \epsilon_0 c}\\\Rightarrow E=\sqrt{2 \epsilon_0 c I}\\\Rightarrow E=\sqrt{2\times 4\pi \times 10^{-7}\times 3\times 10^8\times 12\times 10^{-6}}\\\Rightarrow E=0.09511\ V/m$

Electric field of the wave is 0.09511 V/m

Magnetic field

$B=\frac{E}{c}\\\Rightarrow B=\frac{0.09511}{3\times 10^8}\\\Rightarrow B=3.17033\times 10^{-10}\ T$

Magnetic field of the wave is $3.17033\times 10^{-10}\ T$

Power

$P=IA\\\Rightarrow P=I\times 2\pi r^2\\\Rightarrow P=12\times 10^{-6}\times 2\pi \times 9900^2\\\Rightarrow P=7389.7799\ W$

The transmitter radiates 7389.7799 W of power

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