Nodal Analysis Solved Problems

Nodal Analysis Solved Problems-75
Find the current flowing through 20 Ω resistor of the following circuit using Nodal analysis.Step 1 − There are three principle nodes in the above circuit.Follow these steps while solving any electrical network or circuit using Nodal analysis.

Find the current flowing through 20 Ω resistor of the following circuit using Nodal analysis.Step 1 − There are three principle nodes in the above circuit.

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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.

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 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.

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.

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