Answer :
Answer:
[tex]4.72491\ \mu W/m^2[/tex]
[tex]2\times 10^{-3}\ mW[/tex]
[tex]6.10993\times 10^{-13}\ W/m^2[/tex]
[tex]2.1454\times 10^{-5}\ N/C[/tex]
[tex]7.15133\times 10^{-14}\ T[/tex]
Explanation:
A = Area of hemispher = [tex]2\pi r^2[/tex]
r = Distance
P = Power
I = Intensity
[tex]\epsilon_0[/tex] = Permittivity of free space = [tex]8.85\times 10^{-12}\ F/m[/tex]
c = Speed of light = [tex]3\times 10^8\ m/s[/tex]
Intensity is given by
[tex]I=\frac{P}{A}\\\Rightarrow I=\frac{190\times 10^3}{2\pi 80000^2}\\\Rightarrow I=4.72491\times 10^{-6}\ W/m^2=4.72491\ \mu W/m^2[/tex]
The intensity is [tex]4.72491\ \mu W/m^2[/tex]
Power is given by
[tex]P=IA\\\Rightarrow P=4.72491\times 10^{-6}\times 0.52\\\Rightarrow P=2.45695\times 10^{-6}=2\times 10^{-3}\ mW[/tex]
The power is [tex]2\times 10^{-3}\ mW[/tex]
[tex]I=\frac{P}{A}\\\Rightarrow I=\frac{2.45695\times 10^{-6}}{2\pi 80000^2}\\\Rightarrow I=6.10993\times 10^{-13}\ W/m^2[/tex]
The intensity is [tex]6.10993\times 10^{-13}\ W/m^2[/tex]
Maximum electric field is given by
[tex]E_0=\sqrt{\frac{2I}{c\epsilon_0}}\\\Rightarrow E_0=\sqrt{\frac{2\times 6.10993\times 10^{-13}}{3\times 10^8\times 8.85\times 10^{-12}}}\\\Rightarrow E_0=2.1454\times 10^{-5}\ N/C[/tex]
Maximum value of electric field is [tex]2.1454\times 10^{-5}\ N/C[/tex]
Magnetic field is given by
[tex]B=\frac{E_0}{c}\\\Rightarrow B=\frac{2.1454\times 10^{-5}}{3\times 10^8}\\\Rightarrow B=7.15133\times 10^{-14}\ T[/tex]
The rms value of magnetic field is [tex]7.15133\times 10^{-14}\ T[/tex]