Question
Download Solution PDFFind the value of current I in the following circuit.
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe Correct option is 1
Concept:
- Total no of nodes is 2
- node 1 and node 2
Apply KCL at node 1
\(\ {\frac{18-V_{1}}{6} + 1 = \frac{V_{1}}{6} + \frac{V_{1}-V_{2}}{3}}\) (1)
Apply KCL at node 2
\(\ {\frac{V_{1}-V_{2}}{3} = 1 + \frac{V_{2}}{6} + \frac{V_{2}-12}{6}}\) (2)
Calculation
\(4V_{1}-2V_{2}=24\) (3)
\(4V_{2}-2V_{1}=6\) (4)
Solving equations 3 and 4
V1 = 9 V
V2 = 6 V
\(I=\frac{9-6}{3}=1\) A
Last updated on Jul 18, 2025
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