# Nodal Analysis Solved Problems

For instance, for a resistor, I * G, where G (=1/R) is the admittance (conductance) of the resistor.

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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.

$$I_ = \frac$$ $$\Rightarrow I_ = 2A$$ Therefore, the current flowing through 20 Ω resistor of given circuit is 2 A.

Note − From the above example, we can conclude that we have to solve ‘n’ nodal equations, if the electric circuit has ‘n’ principal nodes (except the reference node).

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.Figure 3 shows the selections of node D as the reference node.The ground symbol, denoted by GND, has been placed at node D as well.In Nodal analysis, we will consider the node voltages with respect to Ground.Hence, Nodal analysis is also called as Node-voltage method.There are two basic methods that are used for solving any electrical network: Nodal analysis and Mesh analysis.In this chapter, let us discuss about the Nodal analysis method.If you're seeing this message, it means we're having trouble loading external resources on our website.If you're behind a web filter, please make sure that the domains *.and *.are unblocked.Follow these steps while solving any electrical network or circuit using Nodal analysis.Now, we can find the current flowing through any element and the voltage across any element that is present in the given network by using node voltages.