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Thévenin's theorem and its dual, Norton's theorem, are widely used to make circuit analysis simpler and to study a circuit's initial-condition and steady-state response. [ 8 ] [ 9 ] Thévenin's theorem can be used to convert any circuit's sources and impedances to a Thévenin equivalent ; use of the theorem may in some cases be more convenient ...
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, and does not contain dependent ...
If the network is particularly simple or only a specific current or voltage is required then ad-hoc application of some simple equivalent circuits may yield the answer without recourse to the more systematic methods. Nodal analysis: The number of voltage variables, and hence simultaneous equations to solve, equals the number of nodes minus one ...
Thévenin's theorem Léon Charles Thévenin ( French: [tev(ə)nɛ̃] ; 30 March 1857, Meaux , Seine-et-Marne – 21 September 1926, Paris ) was a French telegraph engineer who extended Ohm's law to the analysis of complex electrical circuits .
A theorem which states that any network of current sources, voltage sources, and resistors can be simplified to an equivalent network with only a current source and shunt admittance; the dual of Thevenin's theorem. notch filter A filter with a narrow reject band, used to block, for example, a pilot tone out of a communications network. NTSC
The Extra Element Theorem (EET) is an analytic technique developed by R. D. Middlebrook for simplifying the process of deriving driving point and transfer functions for linear electronic circuits. [1] Much like Thévenin's theorem, the extra element theorem breaks down one complicated problem into several simpler ones.
TPTP (Thousands of Problems for Theorem Provers) [1] is a freely available collection of problems for automated theorem proving. It is used to evaluate the efficacy of automated reasoning algorithms. [2] [3] [4] Problems are expressed in a simple text-based format for first order logic or higher-order logic. [5]
Because of this, different methods need to be used to solve BVPs. For example, the shooting method (and its variants) or global methods like finite differences, [3] Galerkin methods, [4] or collocation methods are appropriate for that class of problems. The Picard–Lindelöf theorem states that there is a unique solution, provided f is ...