GATE EE 2016 Set 1 — Question 28
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Electric Circuits → Network Elements & Sources → Dependent Sources
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Question
In the given circuit, the current supplied by the battery, in ampere, is _______.
Correct answer
0.5 to 0.5
Solution
Let be the node voltage at the junction of the first resistor, the dependent source, and the second resistor. Let be the node voltage at the junction of the second and third resistors.
1.Current flows through the vertical resistor: .
2.By KCL at node C, the current through the horizontal resistor is also . Thus, .
3.By KCL at node B, the current from the source is .
4.From the source branch: .
5.Substituting and : .
6.The current supplied by the battery is .
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