Answer:
[tex]2.761\times 10^{-10}\ T[/tex]
Explanation:
[tex]\mu_0[/tex] = Vacuum permeability = [tex]4\pi \times 10^{-7}\ H/m[/tex]
I = Intensity = [tex]9.1\ \mu W/m^2[/tex]
r = Radius = 8.6 km
c = Speed of light = [tex]3\times 10^8\ m/s[/tex]
Electric field is given by
[tex]E=\sqrt{2I\mu_0c}\\\Rightarrow E=\sqrt{2\times 9.1\times 10^{-6}\times 4\pi \times 10^{-7}\times 3\times 10^8}\\\Rightarrow E=0.0828\ V/m[/tex]
The electric component is 0.0828 V/m
Magnetic field is given by
[tex]B=\dfrac{E}{c}\\\Rightarrow B=\dfrac{0.0828325923501}{3\times 10^8}\\\Rightarrow B=2.761\times 10^{-10}\ T[/tex]
The magnetic field is [tex]2.761\times 10^{-10}\ T[/tex]
Power is given by
[tex]P=IA\\\Rightarrow P=I2\pi r^2\\\Rightarrow P=9.1\times 10^{-6}\times \pi\times 8600^2\\\Rightarrow P=2114.404\ W[/tex]
The power of transmission is 2114.404 W
