Question

can anyone help me with their supernode analysis I need a quick and detailed explanation

Answer 1

1.Redraw the circuit if possible.
2.Count the Number of Nodes in the circuit.
3.Design a Reference Node. This may be the node with the greatest number of branches. So that, we may minimize the number of of equations.
4.Label the Nodal Voltages. Which are (N-1), where N= number of Nodes.
5.Form a Supernode if the circuit or network contains voltage sources. This job is done by enclosing the source terminal, and other circuit element connected between the two terminals with the dotted line enclosure.
6.Write a KCL (Kirchhoff’s Current law) equation for each non-reference node as well as for each supernode which does not contain the reference node. On the first side, add the currents flowing into a supernode or node from the current sources. On the other hand, add the currents leaving the supernode or node through resistors. Take the “-“ sign in the account while writing KCL equations and solving the circuit.
7.One KCL (Kirchhoff’s Current Law) is needed for each defined Supernode which can be accomplished by simple application of KCL. In simple words, relate the voltage across each voltage source to nodal voltages.
8.If dependent sources appear in the circuit, In this case, express any additional unknown values and quantities like currents or voltages other than the Nodal voltages in terms of suitable nodal voltages.
9.Arrange and organize the system of equations.
10.At last, solve the system of equations for the Nodal voltages such as V1, V2, and V3 etc. there will be (N-1, where “N” = Number of Nodes) of them. If you find difficulties to solve the system of equations, refer to the above solved example.