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  2. Kirchhoff equations - Wikipedia

    en.wikipedia.org/wiki/Kirchhoff_equations

    In fluid dynamics, the Kirchhoff equations, named after Gustav Kirchhoff, describe the motion of a rigid body in an ideal fluid. = + + +, = + +, = (~ +) = ^, = ^ where and are the angular and linear velocity vectors at the point , respectively; ~ is the moment of inertia tensor, is the body's mass; ^ is a unit normal vector to the surface of the body at the point ; is a pressure at this point ...

  3. Kirchhoff's circuit laws - Wikipedia

    en.wikipedia.org/wiki/Kirchhoff's_circuit_laws

    The current entering any junction is equal to the current leaving that junction. i 2 + i 3 = i 1 + i 4. This law, also called Kirchhoff's first law, or Kirchhoff's junction rule, states that, for any node (junction) in an electrical circuit, the sum of currents flowing into that node is equal to the sum of currents flowing out of that node; or equivalently:

  4. Nodal analysis - Wikipedia

    en.wikipedia.org/wiki/Nodal_analysis

    Nodal analysis is essentially a systematic application of Kirchhoff's current law (KCL) for circuit analysis. Similarly, mesh analysis is a systematic application of Kirchhoff's voltage law (KVL). Nodal analysis writes an equation at each electrical node specifying that the branch currents incident at a node must sum to zero (using KCL). The ...

  5. Kirchhoff's laws - Wikipedia

    en.wikipedia.org/wiki/Kirchhoff's_laws

    Kirchhoff's laws, named after Gustav Kirchhoff, may refer to: Kirchhoff's circuit laws in electrical engineering; Kirchhoff's law of thermal radiation; Kirchhoff equations in fluid dynamics; Kirchhoff's three laws of spectroscopy; Kirchhoff's law of thermochemistry; Kirchhoff's theorem about the number of spanning trees in a graph

  6. Harmonic balance - Wikipedia

    en.wikipedia.org/wiki/Harmonic_balance

    Harmonic balance is a method used to calculate the steady-state response of nonlinear differential equations, [1] and is mostly applied to nonlinear electrical circuits. [2] [3] [4] It is a frequency domain method for calculating the steady state, as opposed to the various time-domain steady-state methods.

  7. Gustav Kirchhoff - Wikipedia

    en.wikipedia.org/wiki/Gustav_Kirchhoff

    Gustav Robert Kirchhoff (German: [ˈgʊs.taːf ˈkɪʁç.hɔf]; 12 March 1824 – 17 October 1887) was a German chemist, mathematician and physicist who contributed to the fundamental understanding of electrical circuits, spectroscopy and the emission of black-body radiation by heated objects.

  8. List of equations - Wikipedia

    en.wikipedia.org/wiki/List_of_equations

    Dirac–Kähler equation; Doppler equations; Drake equation (aka Green Bank equation) Einstein's field equations; Euler equations (fluid dynamics) Euler's equations (rigid body dynamics) Relativistic Euler equations; Euler–Lagrange equation; Faraday's law of induction; Fokker–Planck equation; Fresnel equations; Friedmann equations; Gauss's ...

  9. Reciprocity (electromagnetism) - Wikipedia

    en.wikipedia.org/wiki/Reciprocity_(electromagnetism)

    Under steady constant frequency conditions we get from the two curl equations the Maxwell's equations for the Time-Periodic case: = , = + . It must be recognized that the symbols in the equations of this article represent the complex multipliers of e j ω t {\displaystyle e^{j\omega t}} , giving the in-phase and out-of-phase parts with respect ...

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