Question

Antenna B is 45.0 m to the right of antenna A. The two antennas emit electromagnetic waves that are in phase and have wavelength 6.00 m. Both antennas have the same polarization. At how many points along the line connecting A and B is the interference constructive? Express your answer as an integer. DE VO AEO ? N = 13 Submit Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining Part B What is the smallest distance to the right of antenna A for which is there a point of constructive interference? Express your answer with the appropriate units. μΑ ? I'min = Value Units

Answer 1

Use the condition of constructive interference to find the required number of points between the two antennas as shown below

45-20 B АР A) let interference be constructive at P, at pt x to the right of A, (45 - x)- x = na los n = 0, 1, 2, x<45-x 45- 220 = on {7=6m x = 45-6n 2 x = 22.5 in x = 19.5 m 20 = 16-5 m 20 z 13.5m for n=o, n=1, n= 21 u=3, 4, ท - S, n=6, n=7, x x x = 10.5m = 7.5m 20 =4.5. x = 1.5m x-(45-2) when x >45-22 {when = na 20-45 = 6n - common a = 45 ton 2 for n=o, FO, 2 = 22.5 m n=1, 2 = 25.5 m n 21 20 = 28.5 m c =31.5 m = 34-5 nas, =37.5 in n=6, x = 40.5 x=43.5m n=3, n=4, x x x n=7, z = So, there total 15 points. B xmin for A = 1:5 m