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GATE 2026 EE – Question 44

Electric Circuits · Network Theorems: Thevenin, Norton, Superposition and Maximum Power Transfer theorem · 2 marks · Multiple choice

The terminal voltage and current of a linear electrical network shown in Figure (a) are given in the table.

Terminal voltage ($v_t$)Terminal current ($i_t$)
18 V−0.5 A
30 V0.5 A
36 V1.0 A

The correct choice for the parameters ($I_N$, $R_N$) of the Norton equivalent circuit shown in Figure (b) is:

Diagram for GATE 2026 EE question 44
  1. $I_N=3.0$ A, $R_N=24.0\ \Omega$
  2. $I_N=12.0$ A, $R_N=2.0\ \Omega$
  3. $I_N=2.0$ A, $R_N=12.0\ \Omega$
  4. $I_N=2.0$ A, $R_N=24.0\ \Omega$

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Correct answer: (C) $I_N=2.0$ A, $R_N=12.0\ \Omega$

Explanation

The table is linear: $\dfrac{\Delta v}{\Delta i}=\dfrac{30-18}{0.5-(-0.5)}=12\ \Omega$ and $\dfrac{36-30}{1.0-0.5}=12\ \Omega$. So the equivalent resistance is $R_N=12\ \Omega$. The open-circuit voltage (where $i_t=0$) is $24$ V, and the short-circuit magnitude is $24/12=2$ A, so $I_N=2$ A.