Solved Problems on Nodal Analysis

Demonstrative Video


Problem-1

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Solution-1

  • \(R=0\) means short circuit and the top node voltage is same as ref. node (0V)


Problem-2

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Solution-2


Problem-3

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Solution-3


Problem-4

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Solution-4

  • Combining super-nodes \(v_1\) - \(v_2\) \[\begin{aligned} -2+\dfrac{v_1}{2}+\dfrac{v_2}{4}+7&=0 \end{aligned}\]


Problem-5

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Solution-5

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Problem-6

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Solution-6


Problem-7

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Solution-7


Problem-8

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Solution-8


Problem-9

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Solution-9

  • Applying KCL at node \(v_1\) \[\begin{aligned} -15+\dfrac{v_1-v_2}{1}+\dfrac{v_1}{2} & = 0 \end{aligned}\]

  • Applying KCL at node \(v_2\) \[-3i_1+\dfrac{v_2}{3}+\dfrac{v_2-v_1}{1} = 0\]

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Problem-10

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Solution-10