Nodal Analysis Solved Problems

A nodal analysis can be performed by examining each node in a circuit.The goal is to find out what the voltages are in each node with respect to our reference node.We need to know the currents flowing in the circuit and the resistances between each nodes. Kirchhoff’s current law (KCL) states that for any electrical circuit, the algebraic sum of all the currents at any node in the circuit is zero.

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In analyzing a circuit using Kirchhoff's circuit laws, one can either do nodal analysis using Kirchhoff's current law (KCL) or mesh analysis using Kirchhoff's voltage law (KVL).

Nodal analysis writes an equation at each electrical node, requiring that the branch currents incident at a node must sum to zero.

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.

The branch currents are written in terms of the circuit node voltages.

As a consequence, each branch constitutive relation must give current as a function of voltage; an admittance representation.

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

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

Step 2 − The node voltages, V is the voltage from node 2 with respect to ground.

Step 3 − In this case, we will get two nodal equations, since there are two principal nodes, 1 and 2, other than Ground.

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