GATE EE 2024 Set 1 — Question 12
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Question
The number of junctions in the circuit is
Correct answer
(A) 6
Solution
A junction (principal node) is a point in a circuit where three or more branches meet. Points joined by ideal wire with no element between them form a single node.Inspecting the circuit:
1.Top-middle node: the two top resistors and the vertical branch (capacitor in series with resistor) going down — 3 branches.
2.Left-middle node: the upper-left capacitor, the lower-left inductor and the horizontal capacitor — 3 branches.
3.Central node (dot) together with the right-middle point: these are joined by a plain wire, so they are one node. It connects the horizontal capacitor, the upper vertical resistor branch, the lower vertical resistor, the upper-right inductor and the lower-right inductor — 5 branches.
4.Bottom-middle node: the bottom capacitor, the lower vertical resistor and the bottom-right resistor — 3 branches.
5.Top-right node: the top-right resistor, the upper-right inductor and the outer right capacitor — 3 branches.
6.Bottom-right node: the bottom-right resistor, the lower-right inductor and the outer right capacitor — 3 branches.
The top-left and bottom-left corners join only two elements each, so they are not junctions.Total number of junctions .Answer: (A) 6Continue learning with Success Tracker
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