GATE EC 2005 Electromagnetics Solution Q 6

GATE EC 2005 Electromagnetics Solution Q 6

Voltage standing wave pattern in a lossless transmission line with characteristic impedance 50Ω and a resistive load is shown in the figure.

GATE EC 2005 Electromagnetics Solution img5 - Grad Plus

The value of the load resistance is_____.

(a) 50 Ω

(b) 200 Ω

(c) 12.5 Ω

(d) 0 Ω

Ans :- (c)

Explanation

From the figure we can observe,

S=\frac{1+\Gamma}{1-\Gamma} \begin{array}{l}Z_{max}=Z_0\cdot S\\Z_{min}=Z_0/S\end{array}

From diagram, minima is at load,

\therefore Z_L=Z_{min}=\frac{50}4=12.5\Omega.

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