GATE ECE 2026 | Question: 42

Question

A complex load (in $\Omega$ ) is represented as $\Gamma_{L}=0.5 \angle 30^{\circ}$ on the Smith chart. A co-axial cable with a characteristic impedance of $50 ~\Omega$ is connected to the load. The new input impedance of the load now moves to a diametrically opposite point on the same $\Gamma$ circle on the Smith chart.

Which option is the nearest input impedance of the cable connected load (in $\Omega)?$

• A. $20.7-j 5.1$
• B. $17.7-j 11.8$
• C. $97.5-j 65.0$
• D. $97.5+j 65.0$