# What is Supermesh and supernode?

## What is Supermesh and supernode?

The problem arises when the current source (independent or dependent) exists between two meshes. So, then to solve the circuit a supermesh is created by excluding the current source and any elements connected in series with it. Nodal analysis and supernode: In nodal analysis we use KCL.

How do you identify Supermesh?

Summary of Supermesh Analysis (Step by Step)

1. Evaluate if the circuit is a planer circuit.
2. Redraw the circuit if necessary and count the number of meshes in the circuit.
3. Label each of mesh currents in the circuit.
4. Form a supermesh if the circuit contains current sources by two meshes.

What is the difference between mesh and Supermesh analysis?

A super mesh is formed when two adjacent meshes share a common current source and none of these (adjacent) meshes contains a current source in the outer loop. In super mesh analysis technique, the current source is in the inner area of the super mesh.

### How do you use Supermesh analysis?

Procedure (steps) for applying mesh analysis:

1. Identify the total number of meshes.
2. Assign the mesh currents and check for supermesh in the circuit.
3. If supermesh found, develop the KVL equation for it.
4. Solve the equations to find the mesh currents.

Why do we use super mesh?

Usually you use “super mesh” analysis when there are current sources — dependent or independent — in the circuit, and still you want to use Kirchhoff voltage law (KVL) to analyze the circuit.

What is a supernode in a circuit?

In circuit theory, a supernode is a theoretical construct that can be used to solve a circuit. Each supernode contains two nodes, one non-reference node and another node that may be a second non-reference node or the reference node. Supernodes containing the reference node have one node voltage variable.

## What is Supermesh example?

Supermesh definition: A supermesh results when two meshes have a (dependent or independent) current source in common. The current source in the supermesh provides the constraint equation necessary to solve for the mesh currents. A supermesh has no current of its own.

What is the difference between mesh and loop?

A loop is any closed path through a circuit where no node more than once is encountered. A mesh is a closed path in a circuit with no other paths inside it.

What is a Supermesh?

A supermesh occurs when a current source is contained between two essential meshes. This leads to one equation that incorporates two mesh currents. Once this equation is formed, an equation is needed that relates the two mesh currents with the current source.

### How do you use Supermesh?

Procedure of Supermesh Current Analysis

1. Make sure the circuit is planar.
2. Redraw the circuit if we can simplify it.
3. Make meshes in every loop you can find and assign the labels.
4. Form a supermesh circuit if you find a current source between two meshes.
5. Use KVL and maybe some KCL to the supermesh branch.

How to define a supermesh in a circuit?

As a rule of thumb, defining all the mesh currents to flow clockwise result in a simpler circuit analysis. Form a supermesh if the circuit contains current sources by two meshes. So that, the supermesh would enclose both meshes.

How do I make a supermesh?

You make a supermesh for each pair of meshes where a current source lies on a branch shared by two meshes. For example, in your circuit, let’s call the left mesh (containing the 5 V source) #1, the upper right mesh (containing the \\\$2 I_x\\\$ CCVS) #2, and the lower right mesh (containing the 7 V source) #3.

## How to reduce number of meshes in a circuit?

In supermesh circuit analysis technique, the current source is in the inner area of the supermesh. Therefore, we are able to reduce the number of meshes by one (1) for each current source which is present in the circuit. The single mesh can be ignored, if current source (in that mesh) lies on the perimeter of the circuit.

What is supermesh analysis?

Supermesh or Supermesh Analysis is a better technique instead of using Mesh analysis to analysis such a complex electric circuit or network, where two meshes have a current source as a common element.

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