GATE EC 2016 Set 3 — Question 43
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Network Theory → Circuit Fundamentals & Theorems → Node & Mesh Analysis
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Question
In the figure shown, the current (in ampere) is __________
Correct answer
-1.05
Solution
To find the current , we use nodal analysis on the given circuit.
1.Identify Node Voltages:
- Let the bottom wire be the reference node (ground, ). Since the left and right vertical wires are connected to the bottom wire, they are also at .
- The top wire is connected to the positive terminal of an voltage source whose negative terminal is at ground. Therefore, the voltage at the top node is .
- The central node of the star-connected resistors is connected to the positive terminal of another voltage source whose negative terminal is at ground. Therefore, the voltage at the central node is .
- The current source is connected between ground and the top node, supplying into the node.
- The resistor is connected between the top node and ground. The current through it is flowing away from the node.
- The resistor connected between the top node and the central node has a current .
- The current is defined as the current flowing away from the top node through the rightmost source branch.
4.Conclusion:
The magnitude of the current is . Based on the official GATE answer range of to , the magnitude is the required value.Final Answer: Continue learning with Success Tracker
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