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I made a mistake at 6 : 00 the equation will be
I3 + I2 = I4 +I5
A supernode is an extended or combined node that is formed by connecting two or more essential nodes together. This technique is commonly used to simplify the analysis of complex circuits by reducing the number of equations that need to be solved.
In nodal analysis, nodes are points in a circuit where multiple components or branches are connected together. Each node has a voltage associated with it, and Kirchhoff's Current Law (KCL) is applied to each node to set up the nodal equations. KCL states that the sum of currents entering a node is equal to the sum of currents leaving the node.
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