One end of a lossless transmission line having the characteristic impedance of 75 and length of 1 cm is short circuited. At 3 GHz, the input impedance at the other end of the transmission line is
(a) 0
(b) Resistive
(c) Capacitive
(d) Inductive
Correct option (d) Inductive
Explanation:
f = 3GHz
β = 2π/λ
λ = c/f = (3 x 108)/(3 x 109) = 1/10m
βl = 2π x 10 x 1/100
= π/5
= 36°
Input impedance of short circuited line
zin = jz0tanβl
= jz0tan36°
= j75tan36°
= j54.49Ω
Input impedance is inductive
