Television Broadcast Antenna A radio broadcast antenna is located at the top of

Question

Television Broadcast Antenna A radio broadcast antenna is located at the top of a steep tall mountain. The antenna is broadcasting 104.3 FM (in Megahertz) with a power of 6.00 kilowatts.

What is the peak intensity of the signal at a receiving antenna located 23.0 km away? 9.03×10-7 W/m^2 4pts You are correct.

What is the peak voltage generated in a straight wire antenna which is 0.90 m long (also located 23.0 km away)? 2.35×10-2 V 4pts You are correct.

What is the peak voltage generated in a circular loop antenna which is 18.0 cm in radius (also located 23.0 km away)?

I just need help finding the peak voltage generated in the circular loop. Thanks!

Explanation / Answer

for circular loop,

induced emf e Vpeak = AB W

here Bmax = Emax/C

also Intensity I = Emax^2/2uo C

Emax^2 = 2* 9.03e- 7 * 4*3.14 e-7 * 3e8

Emax = 0.026 N/C

Bmax = 0.026/3e8

Bmax = 8.69 e -11 tesla

so

VPeak = 3.14 * 23000*23000*8.69e-11

VPeak = 0.144 Volts

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