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We are given this additional information:

Let antenna 1 be at x = 0. The wave that travels to the right is asin[2pi(x/lambda - t/T)]. The wave that travels to the left is asin[2pi(-x/lambda - t/T)]. Antenna 2 is at x = L. It broadcasts waves asin[2pi((x-L)/Lambda - t/T) + phi_20] to the right and asin[2pi(-(x-L)/lambda - t/T) + phi_20] to the left.

a) What is the smallest value of L for which you can create perfect constructive interference on the town side and perfect destructive interference on the country side? the answer should be a multiple or fraction of the wavelength lambda.

b) What phase constant phi_20 of antenna 2 is needed?