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  2. 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:

  3. 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 ...

  4. Mesh analysis - Wikipedia

    en.wikipedia.org/wiki/Mesh_analysis

    For problems more general than those including current and voltage sources, the voltage drops will be the impedance of the electronic component multiplied by the mesh current in that loop. [ 4 ] If a voltage source is present within the mesh loop, the voltage at the source is either added or subtracted depending on if it is a voltage drop or a ...

  5. Discrete calculus - Wikipedia

    en.wikipedia.org/wiki/Discrete_calculus

    An example of the use of discrete calculus in mechanics is Newton's second law of motion: historically stated it expressly uses the term "change of motion" which implies the difference quotient saying The change of momentum of a body is equal to the resultant force acting on the body and is in the same direction.

  6. Piola–Kirchhoff stress tensors - Wikipedia

    en.wikipedia.org/wiki/Piola–Kirchhoff_stress...

    Because it relates different coordinate systems, the first Piola–Kirchhoff stress is a two-point tensor. In general, it is not symmetric. The first Piola–Kirchhoff stress is the 3D generalization of the 1D concept of engineering stress. If the material rotates without a change in stress state (rigid rotation), the components of the first ...

  7. Kirchhoff integral theorem - Wikipedia

    en.wikipedia.org/wiki/Kirchhoff_integral_theorem

    Kirchhoff's integral theorem (sometimes referred to as the Fresnel–Kirchhoff integral theorem) [1] is a surface integral to obtain the value of the solution of the homogeneous scalar wave equation at an arbitrary point P in terms of the values of the solution and the solution's first-order derivative at all points on an arbitrary closed surface (on which the integration is performed) that ...

  8. Wheatstone bridge - Wikipedia

    en.wikipedia.org/wiki/Wheatstone_bridge

    Wheatstone bridge circuit diagram.The unknown resistance R x is to be measured; resistances R 1, R 2 and R 3 are known, where R 2 is adjustable. When the measured voltage V G is 0, both legs have equal voltage ratios: R 2 /R 1 = R x /R 3 and R x = R 3 R 2 /R 1.

  9. 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, mathematican and physicist who contributed to the fundamental understanding of electrical circuits, spectroscopy and the emission of black-body radiation by heated objects.