### Overview

In nodal analysis, Kirchoff’s current law is used to write the equilibrium equations. A node is defined as a junction of two or more branches. If we define one node of the network as a reference node (a point of zero potential or ground), the remaining nodes of the network will have a fixed potential relative to this reference. Equations relating to all nodes except for the reference node can be written by applying KCL. Referring to the circuit we can see that there are four nodes including the ground which is the reference node. Hence number of equations based on KCL will be total number of nodes minus one. That is, in the present context, we will only have three KCL equations referred to as node equations. Solving these equations (use Cramer’s rule in the matrix form) to find the unknown node voltages.

1. Connect the circuit as shown.

2. Connect the labels at the nodes where the voltages are to be measured. Run DC Analysis without sweep.

Apply KCL to each of the nodes shown and obtain equations based on va, vb and vc. Solve the equations to obtain the voltages. The voltages can in turn also measured practically on DoCircuits as shown above. Verify the values obtained practically and also theoretically. Also check the same for different circuits.

### Circuit info

##### Author

Created on: 18 Sep 2013

<a href="http://www.docircuits.com/public-circuit/1461/node-voltage-analysis" >
Node Voltage Analysis <a/>

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## Overview

In nodal analysis, Kirchoff’s current law is used to write the equilibrium equations. A node is defined as a junction of two or more branches. If we define one node of the network as a reference node (a point of zero potential or ground), the remaining nodes of the network will have a fixed potential relative to this reference. Equations relating to all nodes except for the reference node can be written by applying KCL. Referring to the circuit we can see that there are four nodes including the ground which is the reference node. Hence number of equations based on KCL will be total number of nodes minus one. That is, in the present context, we will only have three KCL equations referred to as node equations. Solving these equations (use Cramer’s rule in the matrix form) to find the unknown node voltages.

1. Connect the circuit as shown.

2. Connect the labels at the nodes where the voltages are to be measured. Run DC Analysis without sweep.

Apply KCL to each of the nodes shown and obtain equations based on va, vb and vc. Solve the equations to obtain the voltages. The voltages can in turn also measured practically on DoCircuits as shown above. Verify the values obtained practically and also theoretically. Also check the same for different circuits.

## Circuit info

## Author

## DoCircuits

Created on: 18 Sep 2013