GATE EC 1996 Electromagnetics Solution Q 4

GATE EC 1996 Electromagnetics Solution Q 4

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

(a) 0

(b) 0.02 A

(c) ∞

(d) none of the these

Ans :- (a)

Explanation

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

\begin{array}{l}Z_{in}=\frac{Z_0^2}{Z_L}\\Z_L=0\;\Omega\end{array} Z_{in}=\frac{Z_0^2}0=\infty=open\;circuit

So the current would be zero.

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