An AM radio transmitter broadcasts 50.0 kW of power uniformly in all directions. I live 10 km from this station. What is the maximum strength of Electric Field in my house

Answer :

Answer:

[tex]E_0=0.173N/C[/tex]

Explanation:

From the question we are told that:

Power [tex]P=50kw=>50*10^3w[/tex]

Distance [tex]d=10km=10000m[/tex]

Generally the equation for Intensity is mathematically given by

[tex]I=\frac{P}{4\pi d^2} w/m^2[/tex]

[tex]I=\frac{50*10^3}{4 \pi 10000^2} w/m^2[/tex]

[tex]I=3.98*10^{-5}w/m^2[/tex]

Generally Intensity is also

[tex]I=\frac{1}{2}cE_0^2e[/tex]

Where

[tex]e=8.854*10^{-12}Nm^2/c^2[/tex]

Therefore

[tex]E_0=\sqrt{\frac{2I}{c *e}}[/tex]

[tex]E_0=\sqrt{\frac{2*3.98*10^{-5}}{3*10^8 *8.854*10^{-12}}}[/tex]

[tex]E_0=0.173N/C[/tex]

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