-1178-PH Y2084 n\' RUI Chapter 23 Part B Chapter 26 × search Textbook Solutions
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-1178-PH Y2084 n' RUI Chapter 23 Part B Chapter 26 × search Textbook Solutions l c × × C o Secure https://session.masteringphysics.com/myct/fit ProblemiD-80834651 Chacte 26 Problem 26.03: Radio interference Problem 26.03: Radio interference. Part A Two radio antennas A and B radiate in phase at a frequency of 15 MHs Antenna B is 115 m to the right of antenna A. Consider point Q along the ine connecting the antennas, a horizontal distance z to the right of antenna A What is the smalest nonzero value of z for which there will be constructive interference at point Q Express your answer in meters to two significant figures Submit My Answers Give Part B What is the smalest nonzero value of z for which there will be destructive interference at point Q bbress your answer in meters to two significant figures.Explanation / Answer
wavelength of the radios waves produced by the two antenna,
lamda = c/f
= 3*10^8/(15*10^6)
= 20 m
A)
let r1 = x,
r2 = 115 -x
for constructive interefrence,
path diffrence, r2 - r1 = N*lamda
(115 - x) - x = N*lamda
115 - 2*x = N*lamda
2x = 115 - N*lamda
x = (115 - N*20)/2 (N = 1,2,3....)
= 47.5 m (when N = 1)
= 37.5 m (when N = 2)
= 27.5 m (when N = 3)
= 17.5 m( when N = 4)
= 7.5 m (when N = 5) <<<<<<<------------Answer
b)
for distructive interefrence,
path diffrence, r2 - r1 = (N - 1/2)*lamda
(115 - x) - x = (N - 1/2)*lamda
115 - 2*x = (N - 1/2)*lamda
2x = 115 - (N - 1/2)*lamda
x = (115 - (N - 1/2)*20)/2 (N = 1,2,3....)
= 52.5 m (when N = 1)
= 42.5 m (when N = 2)
= 32.5 m (when N = 3)
= 22.5 m( when N = 4)
= 12.5 m (when N = 5)
= 2.5 m (when N = 6) <<<<<<<------------Answer
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