Source transformation: Difference between revisions

Revision as of 07:04, 4 January 2021

Revision as of 07:42, 15 January 2021

Line 4:

== Process ==

Performing a source transformation consists of using [[Ohm's law]] to take an existing [[voltage source]] in [[series circuit|series]] with a [[resistor|resistance]], and replacing it with a [[current source]] in [[parallel circuit|parallel]] with the same resistance, or vice versa. The transformed sources are considered identical and can be substituted for one another in a circuit.<ref name="Nilsson">Nilsson, James W., & Riedel, Susan A. (2002). ''Introductory Circuits for Electrical and Computer Engineering''. New Jersey: Prentice Hall.</ref>.

Source transformations are not limited to resistive circuits. They can be performed on a circuit involving [[capacitors]] and [[inductors]] as well, by expressing circuit elements as impedances and sources in the [[frequency ___domain]]. In general, the concept of source transformation is an application of [[Thévenin's theorem]] to a [[current source]], or [[Norton's theorem]] to a [[voltage source]]. However, this means that source transformation is bound by the same conditions as Thevenin's theorem and Norton's theorem; namely that the load behaves linearly{{Citation needed|reason=I'm not sure what "load" means here, but if it refers to the external network connected to the practical source, then I haven't read anywhere that it must be linear. More over, even in Thévenin and Norton theorems the extenal network CAN be non-linear, although it is true the network you're finding the equivalent Thévenin/Norton network must be linear|date=January 2021}}, and does not contain dependent voltage or current sources{{Citation needed|reason=If "load" means external network connected to the practical source, then I have never read it must not contain dependent sources; in Thévenin and Norton theorems the external circuit CAN have dependent sources.|date=January 2021}}.

Line 14:

:: <math> V = I\cdot Z, \qquad I = \cfrac VZ</math>

[[Image:Sourcetrans.jpg|frame|left|Figure 1. An example of a DC source transformation. Notice that the impedance Z is the same in both configurations.]]