Answer:
a. negligible
b. Border
c. Non negligible
d. Non negligible
Explanation:
On a transmission line, the velocity is expressed as
V=fλ
Hence we can write the wavelength as
λ=v/f
experimentally, a transmission line is negligible when
l/λ ≤ 0.01
hence we can write the above equation as
fl/v ≤0.01
a. for when l = 20 cm= 0.2m, f = 20 kHz=20000Hz, and v=speed of light=3*10⁸m/s
we have
(0.2*20000)/3*10⁸=1.33*10⁻⁵·
since 1.33*10⁻⁵ < 0.01 it is negligible
b. for when l = 50km= 50000m, f = 60Hz and v=speed of light=3*10⁸m/s
we have
(50000*60)/3*10⁸=0.01·
since 0.01 = 0.01 it is On the border.
c. for when l = 20 cm= 0.2m, f = 600 MHz=6*10⁸Hz, and v=speed of light=3*10⁸m/s
we have
(0.2*6*10⁸)/3*10⁸=0.40
since 0.40 > 0.01 it is nonnegligible.
d. for when l = 1mm= 0.001m, f = 100GHz and v=speed of light=3*10⁸m/s
we have
(0.001*100*10⁹)/3*10⁸=0.83
since 0.83 > 0.01 it is nonnegligible
