A radio transmitting station operating at a frequency of 170 MHz has two identic

Question

A radio transmitting station operating at a frequency of 170 MHz has two identical antennas that radiate in phase. Antenna B is 7.20 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 from smallest to largest starting with the first answer blank. Enter NONE in any remaining answer blanks.)

Explanation / Answer

f = 170 MHz

lambda = c/f = 3 x 10^8 / 170 x 10^6 Hz = 1.76 m

for constructive

r1 - r2 = m*lambda

r1 + r2 = 7.2

r2 = 7.2 - r1

2r1 - 7.2 = m(1.76)

here m = 0 , +-1 , +-2 , +-3 ,.......

for m = 0

r1 = 3.6 m

if m = 1

r1 = 4.48

if m = 2

r1 = 5.36

if m = 3

r1 = 6.24

if m = 4

r1 = 7.12

m = 5 is not possible

now m = -1

r1 = 2.72 m

if m = -2

r1 = 1.84 m

if m = -3

r1 = 0.96 m

if m = -4

r1 = 0.08 m

if m = -5

no =t possible for this range

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