L-07(GDR)(ET) ((EE)NPTEL) - Module 2 DC Circuit Version 2...

Info iconThis preview shows pages 1–5. Sign up to view the full content.

View Full Document Right Arrow Icon
Module 2 DC Circuit Version 2 EE IIT, Kharagpur
Background image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
Lesson 7 Superposition Theorem in the context of dc voltage and current sources acting in a resistive network Version 2 EE IIT, Kharagpur
Background image of page 2
Objectives Statement of superposition theorem and its application to a resistive d.c network containing more than one source in order to find a current through a branch or to find a voltage across the branch. L.7.1 Introduction If the circuit has more than one independent (voltage and/or current) sources, one way to determine the value of variable (voltage across the resistance or current through a resistance) is to use nodal or mesh current methods as discussed in detailed in lessons 4 and 5. Alternative method for any linear network, to determine the effect of each independent source (whether voltage or current) to the value of variable (voltage across the resistance or current through a resistance) and then the total effects simple added. This approach is known as the superposition. In lesson-3, it has been discussed the properties of a linear circuit that satisfy (i) homogeneity property [response of output due to input= () ut α equals to α times the response of output due to input= , (( ) Su t ) = (() ) Sut for all ; and = input to the system] (ii) additive property [that is the response of equals the sum of the response of and the response of , = 12 ut ut + 1 2 ) ( ) ) Su t u t + ) ) (( ) ) Su t + ]. Both additive and multiplicative properties of a linear circuit help us to analysis a complicated network. The principle of superposition can be stated based on these two properties of linear circuits. L.7.1.1 Statement of superposition theorem In any linear bilateral network containing two or more independent sources (voltage or current sources or combination of voltage and current sources ), the resultant current / voltage in any branch is the algebraic sum of currents / voltages caused by each independent sources acting along, with all other independent sources being replaced meanwhile by their respective internal resistances. Superposition theorem can be explained through a simple resistive network as shown in fig.7.1 and it has two independent practical voltage sources and one practical current source. Version 2 EE IIT, Kharagpur
Background image of page 3

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full DocumentRight Arrow Icon
One may consider the resistances 13 R and R are the internal resistances of the voltage sources whereas the resistance 4 R is considered as internal resistance of the current source. The problem is to determine the response I in the in the resistor 2 R . The current I can be obtained from 12 () || | s due to E alone due to E alone due to I alone II I I ′′ ′′′ =++ according to the application of the superposition theorem. It may be noted that each independent source is considered at a time while all other sources are turned off or killed.
Background image of page 4
Image of page 5
This is the end of the preview. Sign up to access the rest of the document.

Page1 / 15

L-07(GDR)(ET) ((EE)NPTEL) - Module 2 DC Circuit Version 2...

This preview shows document pages 1 - 5. Sign up to view the full document.

View Full Document Right Arrow Icon
Ask a homework question - tutors are online