Question

A radio transmitting station operating at a frequency of 115 MHzMHz has two identical antennas that radiate in phase. Antenna BB is 9.05 mm to the right of antenna AA. Consider point PP between the antennas and along the line connecting them, a horizontal distance xx to the right of antenna A For what values of x will constructive interference occur at point P?

Answer 1

lambda = c / f

= (3 x 10^8) / (115 x 10^)

lambda = 2.61 m

Constructive Interference happen when

path diff = n * lambda

n = 0, 1, 2, ......

path diff = 0 then its mid point,

so d = 9.05/2 = 4.525 m

path diff = 2.61 m

so d = 5.83 m Or 3.22

path diff = 2 lambda = 5.22 m

d = 7.135m Or 1.915 m

path diff = 3 lambda = 7.83 m

d = 0.61 m OR 8.44 m

Ans. x = 0.61, 1.915, 3.22, 4.525, 5.83, 7.135, 8.44

Step-by-step explanation: