GATE EC 2021 Set 1 — Question 28
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Network Theory → Circuit Fundamentals & Theorems → Node & Mesh Analysis
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Question
Consider the circuit shown in the figure.
The current flowing through the resistor between P and Q (rounded off to one decimal place) is ________ A.
Correct answer
0.5 to 0.5
Solution
To find the current through the resistor, we analyze the circuit diagram:
The current is .
1.Identify the nodes: Let the top horizontal wire be node T and the bottom horizontal wire be node B.
2.Observe the short circuit: On the far right, there is a vertical connection between the top and bottom wires, effectively shorting them together. Thus, . We can set this common node as ground ().
3.Source connection: The current source is connected between ground and node Q.
4.Parallel resistors:
- The and resistors are connected in parallel between node P and ground. Their equivalent resistance is:
- The two resistors are connected in parallel between node Q and ground. Their equivalent resistance is:
5.Simplified circuit: The circuit simplifies to a source at node Q, with two parallel paths to ground:
- Path 1: Through .
- Path 2: Through the resistor in series with .
The current is .
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