Nodal Analysis Solved Problems

Nodal analysis produces a compact set of equations for the network, which can be solved by hand if small, or can be quickly solved using linear algebra by computer.Because of the compact system of equations, many circuit simulation programs (e.g. When elements do not have admittance representations, a more general extension of nodal analysis, modified nodal analysis, can be used. Even though the nodes cannot be individually solved, we know that the combined current of these two nodes is zero.

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In Nodal analysis, we will consider the node voltages with respect to Ground.

Hence, Nodal analysis is also called as Node-voltage method.

Therefore, we can choose Nodal analysis when the number of principal nodes (except reference node) is less than the number of meshes of any electrical circuit.

In electric circuits analysis, nodal analysis, node-voltage analysis, or the branch current method is a method of determining the voltage (potential difference) between "nodes" (points where elements or branches connect) in an electrical circuit in terms of the branch currents.

Nodal analysis is a circuit analysis technique that can be applied to any circuit.

The nature of nodal analysis allows you to perform circuit analysis on a circuit that has been generalized (no values, just variables).

In this Instructable, you will learn how to perform nodal analysis on the simple circuit (resistors only and a single voltage source) shown above in figure 1.

The circuit can not be completely solved without values, so this Instructable is more about the process rather than application.

Those are labelled as 1, 2, and 3 in the following figure.

In the above figure, consider node 3 as reference node (Ground).

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