Parallel to serial converter rc network
![parallel to serial converter rc network parallel to serial converter rc network](https://aaronscher.com/Circuit_a_Day/Resonant_coupling_networks/documents/parallel_series_RC.jpg)
The circle is centered on the x-axis at a distance of half of the parallel resistance with a radius of the same.Īlso, note that the slope of a line drawn from the origin and a point on the circle is the Q of the circuit. As the reactive impedance is reduced, the curve tends toward zero.
![parallel to serial converter rc network parallel to serial converter rc network](http://1.bp.blogspot.com/-DXZOJXFcWtk/UOKlVhrNGCI/AAAAAAAAAMQ/WfMvvJvVY0M/s1600/P2S1.png)
It will go positive with an inductive component and negative with a capacitive component. As the reactance is reduced, the path of the curve follows a circle toward the origin. When the reactance is a near open circuit, the impedance is equal to the parallel resistance. The constant resistance line is symmetric around the x-axis. There are two circles here, one for a constant parallel resistance and a second for a constant reactance.
#Parallel to serial converter rc network series#
The x-axis represents the series resistance and the y-axis represents the series reactance.įigure 2: Constant parallel resistance maps as a circle. Figure 2 shows examples of these variations. The variation can be either from the component value changing or from the impedance of components changing with frequency. Interestingly, these expressions create circles in the Rs/Xs series plane, if one of the paralleled components is held fixed and the other is varied from an open to a short. Figure 1 shows the transformation equations for converting a parallel circuit into a series circuit (see Appendix 1 for the derivation).įigure 1: These circuits are equivalent at one frequency. This tip is useful in simplifying transformer equivalent circuits or filter networks down to two terminal devices. It also shows that a graphical representation of this transformation as a function of frequency looks much like a Smith Chart ( Editor's note : the Smith Chart is a graphical technique developed in the 1920s for analysis of transmission lines, impedance matching, antennas and more, and still used extensively in RF-related design).
#Parallel to serial converter rc network how to#
This Power Tip shows you how to do a quick conversion of parallel-to-series complex impedances (and vice versa). ( Editor's Note: To see a linked list of all entries in this series, click here.)