China
Africa
Explore chapters and articles related to this topic
Capacitors and capacitance
Published in John Bird, Electrical and Electronic Principles and Technology, 2017
It follows that for n series-connected capacitors: 1C=1C1+1C2+1C3+⋯+1Cn i.e. for series-connected capacitors, the reciprocal of the equivalent capacitance is equal to the sum of the reciprocals of the individual capacitances. (Note that this formula is similar to that used for resistors connected in parallel.)
Circuits and Circuit Laws
Published in Richard Cadena, Electricity for the Entertainment Electrician & Technician, 2021
If a circuit has resistors connected both in series and in parallel, the equivalent resistance can be found by replacing the parallel resistors with the equivalent resistance and then calculating the equivalent resistance of the remaining network of resistors. First, calculate the equivalent resistance of the parallel resistors and then replace them with the equivalent value. Then, redraw the network using the equivalent resistance of the parallel network of resistors and calculate the equivalent resistance of the series resistors.
Capacitors, Inductors, and Duality
Published in Nassir H. Sabah, Circuit Analysis with PSpice, 2017
Summary:In a series connection of initially uncharged inductors, (i) the equivalent series inductance is the sum of the individual inductances, (ii) voltages divide directly as the inductances, and (iii) the flux linkage of the equivalent series inductance is the sum of the flux linkages of the individual inductors.
Equivalent Circuit Based Modeling of Multiple Winding Transformers
Published in Electric Power Components and Systems, 2023
The transformer is also considered as a 2-port or 4-terminal circuit element. As the number of windings increases, the number of terminals and the number of ports increase in the same proportion. Due to their winding structure, it is not easy to obtain circuit equations in systems containing multiple winding transformers. Generally, in current analysis techniques, the solution of circuits with multiple winding transformers is based on equations without using any equivalent circuits. The main contribution of this study is to propose a physical equivalent circuit model that facilitates the derivation of circuit equations of systems with multiple winding transformers. The use of equivalent circuit simplifies analysis and makes solutions more understandable. The model is based on a combination of ideal transformer representations consisting dependent sources. The transition to equivalent circuit representation, especially as the number of windings increases, is an important originality of the proposed model.
Analysis of GP-designed metamaterial using equivalent circuit model and Prony’s method
Published in Electromagnetics, 2021
Gui Chao Huang, Scott Clemens, Magdy F. Iskander, Zhengqing Yun
A simple AMC structure is shown in Figure 1a, which consists of uniform metallic square patches on top of a dielectric substrate and a ground plane on the other side of the substrate. This structure has regular shapes and it is not difficult to figure out its equivalent circuit, as shown in Figure 1b (Costa, Genovesi, and Monorchio 2009; Feresidis et al. 2005). Each component of the circuits has its role in representing the electromagnetic characteristic of the original structure. Using equivalent circuits can then help us better understand how the design works. The transmission line model in the circuit represents the dielectric medium where the characteristic impedance and length of the transmission line represent the characteristic impedance and thickness of the dielectric medium, respectively. The RLC component represents the resistance and inductance of the patches, as well as the fringing capacitance between the patches. The two capacitors attached to both ends of the transmission line represent the capacitance between the patches and ground plane. Note that the capacitances between the patches and the ground plane are often ignored in an equivalent model of AMC designs; see the examples of Feresidis et al. 2005 and Costa, Genovesi, and Monorchio 2009. However, under certain conditions, these capacitances are needed, and an example will be shown in Section IV in this paper.