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L-04(GDR)(ET) ((EE)NPTEL)

# L-04(GDR)(ET) ((EE)NPTEL) - Module 2 DC Circuit Version 2...

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Module 2 DC Circuit Version 2 EE IIT, Kharagpur

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Lesson 4 Loop Analysis of resistive circuit in the context of dc voltages and currents Version 2 EE IIT, Kharagpur
Objectives Meaning of circuit analysis; distinguish between the terms mesh and loop. To provide more general and powerful circuit analysis tool based on Kirchhoff’s voltage law (KVL) only. L.4.1 Introduction The Series-parallel reduction technique that we learned in lesson-3 for analyzing DC circuits simplifies every step logically from the preceding step and leads on logically to the next step. Unfortunately, if the circuit is complicated, this method (the simplify and reconstruct) becomes mathematically laborious, time consuming and likely to produce mistake in calculations. In fact, to elevate these difficulties, some methods are available which do not require much thought at all and we need only to follow a well-defined faithful procedure. One most popular technique will be discussed in this lesson is known as ‘mesh or loop’ analysis method that based on the fundamental principles of circuits laws, namely, Ohm’s law and Kirchhoff’s voltage law. Some simple circuit problems will be analyzed by hand calculation to understand the procedure that involve in mesh or loop current analysis. L.4.1.1 Meaning of circuit analysis The method by which one can determine a variable (either a voltage or a current) of a circuit is called analysis. Basic difference between ‘mesh’ and ‘loop’ is discussed in lesson-3 with an example. A ‘mesh’ is any closed path in a given circuit that does not have any element (or branch) inside it. A mesh has the properties that (i) every node in the closed path is exactly formed with two branches (ii) no other branches are enclosed by the closed path. Meshes can be thought of a resembling window partitions. On the other hand, ‘loop’ is also a closed path but inside the closed path there may be one or more than one branches or elements. L.4.2 Solution of Electric Circuit Based on Mesh (Loop) Current Method Let us consider a simple dc network as shown in Figure 4.1 to find the currents through different branches using Mesh (Loop) current method.

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L-04(GDR)(ET) ((EE)NPTEL) - Module 2 DC Circuit Version 2...

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