GATE EC 2023 Set 1 — Question 32
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Network Theory → Circuit Fundamentals & Theorems → Node & Mesh Analysis
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Question
In the circuit shown below, the current flowing through resistor is ______ mA (rounded off to two decimal places).
Correct answer
1.3 to 1.4
Solution
Let be the voltage at the main top node and be the voltage at the node above the resistor. Let be the node between the source and the first resistor. From the diagram, .Applying KCL at node :
(where is the current from in mA)Applying KCL at node :
Applying KCL at node :
Solving equations (1) and (2):
From (1), . Substituting this into (2):
Then, .The current is:
.Rounding to two decimal places, .
(where is the current from in mA)Applying KCL at node :
Applying KCL at node :
Solving equations (1) and (2):
From (1), . Substituting this into (2):
Then, .The current is:
.Rounding to two decimal places, .
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