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 (also known as a principal node) is defined as a point in an electrical circuit where three or more circuit elements or branches are connected.By inspecting the given circuit diagram, we can identify the following junctions:
1.Top-Middle Node: Connects two resistors and one vertical capacitor branch (3 branches).
2.Left-Middle Node: Connects one capacitor, one inductor, and one horizontal capacitor branch (3 branches).
3.Bottom-Middle Node: Connects one capacitor, one resistor, and one vertical resistor branch (3 branches).
4.Top-Right Node: Connects a resistor, an inductor, and the outer capacitor branch (3 branches).
5.Bottom-Right Node: Connects a resistor, an inductor, and the outer capacitor branch (3 branches).
6.Central/Right-Middle Node: This is a single electrical node. It includes the central cross-point (connecting the horizontal capacitor and two vertical resistors) and the connection point on the right vertical branch (connecting two inductors). Since these points are connected by an ideal wire with no intervening elements, they constitute a single junction (connecting 4-5 branches in total).
Counting these distinct points, the total number of junctions is .Therefore, the correct option is (A).Continue learning with Success Tracker
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