Identify the correct KCL equation at node A.

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Identify the correct KCL equation at node A.

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MPPGCL JE Electrical 28 April 2023 Shift 3 Official Paper

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\(5=\frac{V_{A}}{4}+\frac{V_{A}+10}{3}\)
\(-5=\frac{V_{A}}{4}+\frac{V_{A}-10}{2} \)
\(5=\frac{V_{A}}{4}+\frac{V_{A}-10}{3} \)
\(-5=\frac{V_{A}}{4}+\frac{V_{A}+10}{3} \)

Answer 1

Kirchhoff's Current Law

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According to Kirchhoff's Current Law, the total current entering a junction or a node is equal to the charge leaving the node. The algebraic sum of every current entering and leaving the node has to be zero.

Explanation

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From the figure, V_B = 10 V

Applying KCL at node A, we get:

\(5+{V_A\over 4}+{V_A-10\over 2}=0\)

\(-5=\frac{V_{A}}{4}+\frac{V_{A}-10}{2} \)

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Identify the correct KCL equation at node A.

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