Solved Problems on Super-Node Analysis

Demonstrative Video


Problem-1

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Solution-1

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Problem-2

  • Using Nodal analysis, determine \(i_\phi\) ?

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Solution-2

  • \[\begin{aligned} \dfrac{V_1-20}{2}+\dfrac{V_1}{20}+\dfrac{V_1-V_2}{5} & = 0 \\ \dfrac{V_2-V_1}{5}+\dfrac{V_2}{10}+\dfrac{V_2-8i_\phi}{2}&=0\\ i_\phi & = \dfrac{V_1-V_2}{5} \end{aligned}\]
    Equations:


Problem-3

  • Determine \(i_B\) ?

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Solution-3

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Problem-4

  • Determine current flow through 6 V source?

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Solution-4

  • \[\dfrac{V_{1}-24}{150}+\dfrac{V_{1}}{100}+\dfrac{V_{2}}{75}-0.1=0\]
    Super-node equations:
  • \[V_{1}+6-V_{2}=0\]
    Constraint equation

Problem-5

  • Determine \(V_a\) and \(V_b\) ?

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Solution-5

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Problem-6

  • Determine \(V_1\) and \(V_2\) ?

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Solution-6

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