GATE EE 2023 Set 1 — Question 32
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Electric Circuits → Network Solution Methods → Node & Mesh Analysis
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Question
For the circuit shown in the figure, and . The voltage in Volts is _________ (Round off to 1 decimal place).
Correct answer
5.9 to 6.1
Solution
Label the nodes from the figure: is the top-left node (top of , left end of the resistor and one end of ), and are as marked. The lower end of the vertical resistor, the other end of and the right end of the middle resistor meet at one node, and that node is wired straight across to - so it is node . The left rail (bottom of ) is a fourth node , connected to through the two resistors.Take . The battery's long (positive) plate faces node , soBecause is fixed by the ideal voltage source, the current source and the two resistors (between , and ) cannot change or ; they only alter the current through .Node is connected to through and to through the two resistors in parallel, . KCL at :
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