GATE EC 2018 Set 1 — Question 63
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Network Theory → Circuit Fundamentals & Theorems → Node & Mesh Analysis
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Question
Consider the network shown below with and . The network is connected to a constant voltage source of 11V.
The magnitude of the current (in amperes, accurate to two decimal places) through the source is _______.
Correct answer
7.9 to 8.1
Solution
The circuit is a symmetric bridge network. Let the nodes be:
(Top, connected to 11V source positive terminal),
(Bottom, connected to 11V source negative terminal),
(Top-Left junction),
(Top-Right junction),
(Bottom-Left junction),
(Bottom-Right junction).Based on the diagram labels:
Applying KCL at node :Applying KCL at node :Substituting (2) into (1):The total current from the source is the sum of currents through the top resistors:
(Top, connected to 11V source positive terminal),
(Bottom, connected to 11V source negative terminal),
(Top-Left junction),
(Top-Right junction),
(Bottom-Left junction),
(Bottom-Right junction).Based on the diagram labels:
- resistors are connected between and .
- resistors are connected between and .
- resistors are connected between and .
Applying KCL at node :Applying KCL at node :Substituting (2) into (1):The total current from the source is the sum of currents through the top resistors:
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