GATE EE 2026 Set 1 — Question 44
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Electric Circuits → Network Theorems → Norton's Theorem
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Question
The terminal voltage and current of a linear electrical network shown in Figure (a) are given in the table.
The correct choice for the parameters (, ) of the Norton equivalent circuit shown in Figure (b) is:
| Terminal voltage () | Terminal current () |
|---|---|
| 18 V | A |
| 30 V | 0.5 A |
| 36 V | 1.0 A |
Correct answer
(C) I_N = 2.0 A, R_N = 12.0 Ω
Solution
In Figure (a) the terminal current is marked into the network at terminal X, and is the terminal voltage with its sign at X. A linear network therefore obeys a straight-line terminal relationStep 1 - find and from two data pointsSubtracting the first from the second:Step 2 - check with the third data pointwhich is exactly the measured value, so all three readings lie on the same line.Step 3 - convert to the Norton form of Figure (b)The other options are inconsistent with the slope of the measured - line (which fixes ) or with its intercept (which fixes V).Answer: (C) A,
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