KERA radio transmits at a frequeney of 90.1 MHz The station broadcasts its signa

Question

KERA radio transmits at a frequeney of 90.1 MHz The station broadcasts its signal withs power of 100 MW a) What is the wavelength of this radio station's radio signal? b) Assume that KERA broadcasts omnidirectionally Git doesn't, really). Knowing this, what is the intensity of the radio signal for KERA received by a radio a distance of 34.2 kilometers from the broadcast tower? What is the strength of the electric and magnetic fields of the radio signal a distance of 34.2 kilometers from the broadcast tower? What capacitor paired with a 7.25 mH inductor would have a resonant frequency equal to the 90.1 MHz of the KERA signal? d)

Explanation / Answer

Wavelength= c/f= 3*10^8/(10^6)= 300 m

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Intensity, I= P/area= 100*10^6/(4*3.14* (34.2*10^3)^2)= 6.807*10^-3

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Rms value of electric field,

I= epsilon_not* c* E^2

E^2= = 6.807*10^-3 /(8.85*10^-12*3*10^8)

E= 1.6 N/C

For magnetic field(rms)

B= E/c= 5.337*10^-9 T

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(2*3.14*f)^2= (LC)^-1

(2*3.14* 90.1*10^6)^2= ( 7.25*10^-3*C)^-1

C= 4.308*10^-16 F

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Comment in case any doubt.. good luck

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