Superposition theorem

Superposition theorem

The superposition theorem for electrical circuits states that the total current in any branch of a bilateral linear circuit equals the algebraic sum of the currents produced by each source acting separately throughout the circuit.

To ascertain the contribution of each individual source, all of the other sources first must be "killed" (set to zero) by:

# replacing all other voltage sources with a short circuit (thereby eliminating difference of potential. i.e. V=0)
# replacing all other current sources with an open circuit (thereby eliminating current. i.e. I=0)

This procedure is followed for each source in turn, then the resultant currents are added to determine the true operation of the circuit. The resultant circuit operation is the superposition of the various voltage and current sources.

The superposition theorem is very important in circuit analysis. It is used in converting any circuit into its Norton equivalent or Thevenin equivalent.

External links

* [http://www.allaboutcircuits.com/vol_1/chpt_10/7.html All About Circuits] - gives its own explanation of the superposition theorem.

References

*Electronic Devices and Circuit Theory 9th ed. by Boylestad and Nashelsky


Wikimedia Foundation. 2010.

Игры ⚽ Поможем написать реферат

Look at other dictionaries:

  • Superposition principle — In physics and systems theory, the superposition principle, also known as superposition property, states that, for all linear systems,: The net response at a given place and time caused by two or more stimuli is the sum of the responses which… …   Wikipedia

  • Superposition — The term superposition can have several meanings:* the superposition principle in physics, mathematics, and engineering, describes the overlapping of waves and can show how either constructive, or destructive Interference will occur. Particular… …   Wikipedia

  • Superposition calculus — The superposition calculus is a calculus for reasoning in equational first order logic. It has been developed in the early 1990s and combines concepts from first order resolution with ordering based equality handling as developed in the context… …   Wikipedia

  • Thévenin's theorem — In electrical circuit theory, Thévenin s theorem for linear electrical networks states that any combination of voltage sources, current sources and resistors with two terminals is electrically equivalent to a single voltage source V and a single… …   Wikipedia

  • Automated theorem proving — (ATP) or automated deduction, currently the most well developed subfield of automated reasoning (AR), is the proving of mathematical theorems by a computer program. Decidability of the problem Depending on the underlying logic, the problem of… …   Wikipedia

  • Fourier theorem — In mathematics, the Fourier theorem is a theorem stating that a periodic function f ( x ), which is reasonably continuous, may be expressed as the sum of a series of sine and cosine terms (called the Fourier series), each of which has specific… …   Wikipedia

  • Helmholtz-Theorem — Das Helmholtz Theorem, auch Helmholtz Zerlegung, (nach Hermann von Helmholtz) besagt, dass für gewisse Gebiete der Lp Raum als direkte Summe von divergenzfreien Funktionen und Gradientenfeldern geschrieben werden kann. Inhaltsverzeichnis 1… …   Deutsch Wikipedia

  • No-cloning theorem — Quantum mechanics Uncertainty principle …   Wikipedia

  • Lee–Yang theorem — In statistical mechanics, the Lee Yang theorem states that if partition functions of certain models in statistical field theory with ferromagnetic interactions are considered as functions of an external field, then all zeros are purely imaginary… …   Wikipedia

  • Adiabatic theorem — The adiabatic theorem is an important concept in quantum mechanics. Its original form, due to Max Born and Vladimir Fock (1928),cite journal |author=M. Born and V. A. Fock |title=Beweis des Adiabatensatzes |journal=Zeitschrift für Physik A… …   Wikipedia

Share the article and excerpts

Direct link
Do a right-click on the link above
and select “Copy Link”