Question

A lossless transmission line having 50 $\Omega$ characteristic impedance and length $\lambda /4$ is short circuited at one end and connected to an ideal voltage source of 1 V at the other end. The current drawn from the voltage sources is

• A. $\infty$
• B. 0.02 A
• C. none of the these
• D. 0

Answer 1

The correct option is D 0

Ans : (a)

For quarter wave transformer $\left(\lambda /4\right)$

$Z_{in}=\frac{Z_0^2}{Z_L}$

$Z_L=0\Omega$

$Z_{in}=\frac{Z_0^2}{0}=\infty =opencircuit$

$I_s=\frac{V_s}{Z_{in}}=\frac{V_s}{\infty }=0$