A radio transmitting station operating at a frequency of 125 MHz has two identical antennas that radiate in phase. Antenna B is 9.05 m to the right of antenna A. Consider point P between the antennas and along the line connecting them, a horizontal distance x to the right of antenna A. For what values of x will constructive interference occur at point P? Enter your answers in ascending order separated by a comma.

The answer is: 4.53 m, 4.03 m, 2.13 m, 0.93 m,..., are the values of x constructive interference occur at point P

Explanation:

The wavelength is:

Where

v = 3x10⁸m/s

f = 125 MHz = 125x10⁶Hz

Replacing:

The expression of path difference is equal:

9.05 - x - x = 9.05 -2x (exp. 1)

nλ (exp. 2)

Matching both expressions:

9.05 - 2x = nλ

9.05 - 2x = 2.4λ

Integers for n between 0 and 9.05

For n = 0

For n = 1

For n = 2

For n = 3

the entire statement is true and correct.  

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