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Loop and Mesh

In-circuit topology any closed path with only one node is termed as a loop. On the contrary, the mesh has no other branches inside it.

Table of Content

What is a Loop?

Loops can include other branches inside it in a circuit. It is a closed path that exhibits the traversal of two nodes at the initial position. We encounter no other nodes inside the loop. To ensure this, beginning from a specific point the loop travels round to complete the circuit. The loops within a circuit having at least one branch independent of other loops are said to be independent loops. While calculating the sum of a loop, the voltage polarity between two points converts the sign of the voltage.

Description of Mesh

Mesh can be understood as a form of a loop that houses no other loop within it. When we implement Kirchoff’s Voltage Law on a circuit, we require mesh. KVL states that the total of voltages within a closed path or loop is zero. The KVL method helps us to point out unknown currents present in a network. Meshes are not used in the complex loop analysis of a circuit. They find use in more simple planar circuits where the wires do not cross one another.

Loop analysis and KVL

In an electrical circuit, networks are formed by several interconnected elements. Loop analysis is applied to determine the current and voltages across these elements and record the readings obtained. Each component in the linear network has two terminals connected to the circuit through which current can flow. In loops, we can locate only one point where the terminals of more than two components meet each other. To calculate the voltage and current across each component we use Ohm’s Law. According to the law, voltage is calculated by multiplying the induced current and resistance of the component. Similarly, if the value of passed current is unknown we can determine that by dividing the potential difference with the resistance of the component. Proper understanding of single circuit elements and single circuit loop is essential before analyzing the KVL. In a single circuit, no current will be conducted through the components if there is an interruption at any node. Kirchhoff’s Voltage Law clearly states that the total input current in a node is equivalent to the current leaving it. This happens because the conducting loop is a closed path circuit so the energy returns to the point from where it was supplied. This theory supports the law of conservation of charge. While calculating the total current one must take a note of the algebraic signs preceding voltages.

Mesh Analysis

When current is passed through essential meshes, we can apply the mesh current method. Quite similar to the loop analysis, this method also applies Ohm’s Law to determine current, resistance, and the potential difference between two given points. Essential meshes are those parts in an electrical circuit that do not have any loops within them. A mesh current is any physical form of current that circulates through the mesh. In planar circuits, the mesh current method is used to measure current at any given point. The theory tells us that current in any branch is equivalent to the total mesh current. To verify this, at first one needs to locate all the meshes and assign ampere variables to each of them in a definite direction. The calculation is made by using KVL across all the meshes.

What are planar circuits?

Wires in a planar circuit can be represented on a 2D surface without passing them over one another. Flat strip conductors are used in these densely integrated loops which makes them more reliable. Planar circuits are cost-effective to install and follow a simple design.

Difference between Loop and Mesh

A loop is a closed path inside a circuit that may be independent if the current flowing through its components does not depend on other independent loops of that circuit. On the other hand, the mesh is a special type of loop that does not house any other loops inside. Therefore it has only one node. The visual representation in a circuit diagram is different for loop and mesh. Mesh analysis is used to measure current in planar circuits while the loop current method measures current in more generalized circuits that also include planar circuits.

Conclusion

A circuit is formed of both loop and mesh. A loop is a closed network with not more than one node. A mesh is a special form of a loop that has no other loops in it. There are various components in these networks through which current is passed. Similar to mesh analysis we also notice the wide implementations of Kirchhoff’s Voltage Law in nodal analysis. Mesh analysis is used to measure current in planar circuits. The process of the mesh current method depends on the voltage source. To identify meshes and calculate the current flowing through them we need Ohm’s Law and the KVL.

Frequently asked questions

Get answers to the most common queries related to the IIT JEE Examination Preparation.

What is nodal analysis?

Answer: Nodal analysis is a process that evaluates the voltage distribution among the nodes in a circuit....Read full

What is capacitance?

Answer: The ratio between stored current in a conducting circuit and its potential difference is termed capacitance....Read full

In which circuits KVL can be used?

Answer: KVL can be used in independent circuits that have essential current sources.

What is the benefit of the mesh current method?

Answer: Mesh analysis is possible with limited equations and variables. It helps to find current easily in large net...Read full

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Loop and Mesh

Table of Content

What is a Loop?

Description of Mesh

Loop analysis and KVL

Mesh Analysis

What are planar circuits?

Difference between Loop and Mesh

Conclusion

Frequently asked questions

What is nodal analysis?

What is capacitance?

In which circuits KVL can be used?

What is the benefit of the mesh current method?

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