Energy in Lossless and Low-loss Networks, and Foster's Reactance Theorem
Document Type
Article
Publication Date
1-1-1989
Abstract
Energy stored in a lossless network driven by a voltage (current) source is related to a frequency derivative of the network susceptance (reactance). This relation is proven to be valid also for Low-loss networks at frequencies far from the network resonance frequencies. Close to the resonance frequency, the stored energy is expressed in terms of the network susceptance (reactance) and the bandwidth of the resonance. A simple and lucid proof of Foster's Reactance theorem follows from this consideration. It is also proven that Foster's theorem is a direct consequence of causality. © 1989 IEEE
Publication Title
IEEE Transactions on Circuits and Systems
Recommended Citation
Nedlin, G.
(1989).
Energy in Lossless and Low-loss Networks, and Foster's Reactance Theorem.
IEEE Transactions on Circuits and Systems,
36(4), 561-567.
http://doi.org/10.1109/31.92888
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/10226