Television Broadcast Antenna A radio broadcast antenna is located at the top of
ID: 1793671 • Letter: T
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 5.00 kilowatts. What is the peak intensity of the signal at a receiving antenna located 14.0 km away? 2.03x10-6 w/m*2 4pts You are correct. Your receipt no. is 154-4946evious Tries What is the peak voltage generated in a straight wire antenna which is 1.40 m long (also located 14.0 km away)? 1.9e-2 V 4pts Submit Answer Incorrect. Tries 4/12 Previous Tries What is the peak voltage generated in a circular loop antenna which is 18.0 cm in radius (also located 14.0 km away)? 0.003 V 4pts Submit Answer Incorrect. Tries 1/12 Previous TriesExplanation / Answer
a) I = P / A = 5000 / (4 pi * 140002)
= 2.03 * 10-6 W/m2
b) I = Emax2 / 2 c mu0
Emax = sqrt [2 * 2.03 * 10-6 * 3 * 108 * 4 pi * 10-7] = 0.0391 V/m
peak voltage = E d = 0.039 * 1.4
= 0.0547 V
c) B = E / c = 0.0391 / (3 * 108) = 1.3 * 10-10 T
w = 2 pi f = 2 pi * 104.3 * 106 = 6.55 * 108 rad/s
peak voltage = B A w = pi * 0.18 * 1.3 * 10-10 * 6.55 * 108
= 8.66 * 10-3 V = 0.00866 V
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