Mesh Analysis

What is Mesh Analysis?

In circuit analysis, loop is an important term. Any closed path in a circuit is known as a loop. In mesh analysis, we solve the circuit by defining meshes in the circuit. A mesh is a loop that does not have any inner loop or it is the smallest possible loop in the circuit. Mesh analysis is only applicable to the planar network. A planar network is a network that can be drawn in a plane where none of its branches are crossing one another. A circuit network can be rearranged to make it planar but it can’t be simplified to make the network a planar network....

Mesh Current Diagram

Circuit Diagram of Mesh Analysis...

Steps to Conduct Mesh Analysis

To apply mesh analysis to a particular circuit network the following steps need to be followed :-...

Rules of Mesh Analysis

Direction of the flow of current inside the mesh can be in any direction either clockwise or anticlockwise. In most cases , it is taken to be clockwise as it is simpler.Direction should remain same for all the meshes.The number of equation required to sole an electrical network with the help of Mesh formula is:- e=M=b-(N-1)Where, e is the number of equationsM is the number of meshesb is the number of branchesN is the number of nodesWe can say, number of equations = number of meshesWhen a resistor is common to two meshes then the current of the mesh for which we are writing the equation that current is given high value and the current of the other mesh is subtracted from it....

Solved Examples on Mesh Analysis

Solved Examples on Mesh Analysis are given below for better understanding :...

What is a Supermesh?

It is special method of mesh analysis where the current source is common between two meshes. When two meshes shares a current source the number of equations and variables don’t match so we consider the supermesh. thus, with the help of KCL at one node we will be able to get another equation...

Nodal Analysis and Mesh Analysis

Mesh analysis is used for determining the current in meshes of planar circuit using KVL. Nodal analysis is used for determining voltages at nodes of the planar or non-planar circuits using KCL....

Difference between Mesh Analysis and Nodal Analysis

Mesh Analysis and Nodal Analysis are differentiated in detail below:...

Applications of Mesh Analysis

It used for solving complex electrical networks and to determine current, voltage drop at any point of the circuit.In power systems, it is used to understand the flow of current and voltage in complex power networks.In control systems it is used in the analysis of feedback systems.It is used in finding faults and correcting them....

Advantages of Mesh Analysis

It simplifies the circuit calculation and finding voltage and current at different points of the circuits.It has systematic and easy to implement approach.It reduces the number of equations in circuit solutions.It can be used in implementation of other network theorems like Thevenin, Norton, etc....

Disadvantages of Mesh Analysis

It is only applicable to planar circuits.In case of presence of dependent sources the number of equation increases.It is limited to use in linear circuitsIf mesh and mesh current is not correctly assigned then the solution becomes complex and sometimes wrong....

Conclusion

In conclusion, mesh analysis is a useful method for solving complex circuits with the help of KVL, KCL and Ohm’s law. It reduces the number of equations for solving electrical circuit networks. Supermesh is another method that is used when there is a common current source between two meshes. While is useful in many areas like control systems, power systems, electrical networks but it has some limitations as well. It is only applicable for planar and linear circuits and also if dependent sources are present then the number of equation increases and it becomes difficult to solve. Although it has these limitations but still it is used in many network theorems for calculations....

Mesh Analysis – FAQs

Which laws are used in Mesh Analysis?...