GATE 2023 EE – Question 52
The admittance parameters of the passive resistive two-port network shown in the figure are
$y_{11}=5\ S,\ y_{22}=1\ S,\ y_{12}=y_{21}=-2.5\ S$
The power delivered to the load resistor $R_L$ in Watt is ___________ (Round off to 2 decimal places).
Practise this question in The GATE Grind →
Show answer and explanation
Correct answer: 236.67 to 239.05
Explanation
The 20 V source is at port 1 ($v_1=20$ V), and a 3 Ω resistor joins the two port terminals. At port 2 the network current is $i_2=-2.5v_1+v_2=-50+v_2$. KCL at the load node: current through the 3 Ω plus network current equals load current: $\dfrac{20-v_2}{3}=i_2+\dfrac{v_2}{6}=-50+v_2+\dfrac{v_2}6$. Then $40-2v_2=-300+7v_2$, so $v_2=\dfrac{340}9=37.78$ V. The load power is $\dfrac{v_2^2}{6}=237.86$ W.