Question

Characteristic impedance of a transmission line is 50Ω. Input impedance of the open circuited line is Z_OC = 100 + j150Ω. When the transmission line is short circuited then the value of the input impedance will be 

(a) 50Ω 

(b) 100 + j 50Ω 

(c) 7.69 + j 11.54Ω 

(d) 7.69 − j 11.54Ω

Answer 1

  (b) 100 + j 50Ω

Z₀ = \(\sqrt{Z_{oc}\,Z_{sc}}\)

\(Z_0^2\) = z_oc z_sc

z_sc = \(\frac{Z_0^2}{Z_{oc}}\)