Solved Problems on Super-Node Analysis

Solution-1

Problem-2

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

Solution-2

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

Problem-3

• Determine \(i_B\) ?

Solution-3

Problem-4

• Determine current flow through 6 V source?

Solution-4

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

• Constraint equation \[V_{1}+6-V_{2}=0\]

Problem-5

• Determine \(V_a\) and \(V_b\) ?

Solution-5

Problem-6

• Determine \(V_1\) and \(V_2\) ?

Solution-6