Answer:
a) λ = 2 meters
b) λ = 1.76 meters
c)In free space: length of phasing section = 0.5 meters and in dielectric medium: length of phasing section =0.44 meter
Step-by-step explanation:
Given that:
velocity factor = 0.88
operating frequency = 150 MHz = 150 × 10⁶ Hz
phasing section is a quarter-wavelength = λ/4
a) Wavelength of free space:
λ = c/f
where c is the speed of light = 3×10⁸
λ = (3×10⁸)/150 × 10⁶
λ = 2 meters.
b) Wavelength of dielectric:
Velocity of dielectric = speed of light (c) × velocity factor
Velocity of dielectric = 3×10⁸ × 0.88 = 2.64 × 10⁸ m/s
wavelength dielectric = Velocity of dielectric /f = (2.64 × 10⁸)/150 × 10⁶ =1.76
wavelength dielectric = 1.76 meters
c) length of the phasing section in meters:
l = λ/4
In free space:
l = 2/4 = 0.5 meter
In dielectric
l = 1.76/4 = 0.44 meter