• The telegrapher's equations (or telegraph equations) are a set of two coupled, linear partial differential equations that model voltage and current along...
    34 KB (4,744 words) - 13:21, 3 June 2025
  • Thumbnail for Transmission line
    approximately constant. The telegrapher's equations (or just telegraph equations) are a pair of linear differential equations which describe the voltage...
    55 KB (7,766 words) - 17:10, 15 February 2025
  • Thumbnail for Characteristic impedance
    characteristic impedance. Applying the transmission line model based on the telegrapher's equations as derived below, the general expression for the characteristic...
    25 KB (3,580 words) - 04:58, 25 May 2025
  • Thumbnail for Oliver Heaviside
    way Maxwell's equations are understood and applied in the decades following Maxwell's death. His formulation of the telegrapher's equations became commercially...
    42 KB (4,663 words) - 10:21, 16 May 2025
  • Thumbnail for History of Maxwell's equations
    (Kirchhoff derived the telegrapher's equations in 1857 without using displacement current, but he did use Poisson's equation and the equation of continuity, which...
    36 KB (3,949 words) - 22:22, 24 May 2025
  • circuits Nonlinear Schrödinger equation in fiber optics Telegrapher's equations Van der Pol oscillator Differential game equations Euler–Bernoulli beam theory...
    13 KB (1,097 words) - 15:29, 28 May 2025
  • k={\frac {2\pi }{\lambda }}=\beta } For a transmission line, the telegrapher's equations tells us that the wavenumber must be proportional to frequency...
    16 KB (2,353 words) - 16:25, 20 October 2024
  • of signals on conducting lines Speed of gravity Speed of sound Telegrapher's equations Hayt, William H. (1989), Engineering Electromagnetics (5th ed.)...
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  • This is a list of equations, by Wikipedia page under appropriate bands of their field. The following equations are named after researchers who discovered...
    5 KB (103 words) - 09:21, 8 August 2024
  • is now known as the telegrapher's equations. The law of squares can be derived from a special case of the telegrapher's equations – that is, with L and...
    10 KB (1,416 words) - 20:40, 3 February 2025
  • Propagation delay Signal velocity Speed of electricity Speed of sound Telegrapher's equations Gottlieb, I.M., Practical RF power design techniques, TAB Books...
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  • the inductor without associating a specific equivalent circuit. Telegrapher's equations Distributed-element circuit Distributed-element filter Warren P...
    8 KB (1,069 words) - 18:15, 6 May 2025
  • area. This methodology is also used for the derivation of the telegrapher's equations which are used to describe the behaviour of transmission lines...
    28 KB (5,102 words) - 17:24, 26 September 2024
  • Thumbnail for Ferranti effect
    conducting lines Failure of the first trans-Atlantic telegraph cable Telegrapher's equations Characteristic impedance#Transmission line model J. F. Wilson,...
    3 KB (408 words) - 03:20, 17 June 2023
  • Thumbnail for Antenna (radio)
    single conductor transmission line, which can be solved using the telegrapher's equations. Solutions of currents along antenna elements are more conveniently...
    83 KB (10,949 words) - 22:44, 29 April 2025
  • Heaviside's works, in particular the first publication of the telegrapher's equations, still in wide use for radio engineering. After the periodical...
    6 KB (533 words) - 06:52, 24 November 2023
  • .[citation needed] This special case can be used to solve the Telegrapher's equations.[citation needed]} Source: The multidimensional Z transform is...
    24 KB (4,602 words) - 04:59, 25 March 2025
  • Thumbnail for Signal integrity
    still used today to analyze signal integrity problems, such as the telegrapher's equations. Products as old as the Western Electric crossbar telephone exchange...
    30 KB (3,904 words) - 13:30, 27 April 2025
  • Thumbnail for Submarine communications cable
    Oliver Heaviside had produced the modern general form of the telegrapher's equations, which included the effects of inductance and which were essential...
    110 KB (12,832 words) - 16:54, 28 May 2025
  • code. Multidrop bus Characteristic impedance Category 5 cable Telegrapher's equations Single-ended signaling Network segment CEBus KNX (EIB) "LIN Standards...
    7 KB (203 words) - 23:44, 11 May 2025
  • of lossless and low-loss, dispersion free, transmission lines. Telegrapher's equations § Lossless transmission reveals that signals propagate through...
    38 KB (5,780 words) - 01:48, 1 March 2025
  • Thumbnail for Electric power transmission
    parameters of the transmission matrix. This model applies the Telegrapher's equations. High-voltage direct current (HVDC) is used to transmit large amounts...
    82 KB (9,805 words) - 23:05, 2 June 2025
  • Thumbnail for Coaxial cable
    models developed for general transmission lines are appropriate. See Telegrapher's equation. In the following section, these symbols are used: Length of the...
    76 KB (7,766 words) - 07:01, 28 April 2025
  • which is the telegrapher's equation. Weiss, George H (2002-08-15). "Some applications of persistent random walks and the telegrapher's equation". Physica...
    1 KB (136 words) - 23:07, 23 May 2025
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    Waveguide (electromagnetism) Microstrip Stripline Post-wall waveguide Telegrapher's equations Via fence Forman, Michael A. (2006). "Low-loss LIGA-fabricated...
    11 KB (1,333 words) - 04:14, 25 May 2025
  • Communications – Telecommunications service – Teleconference – Telegrapher's equations – Telegraphy – Telemetry – Telephone tapping – Teletext – Teletraining...
    34 KB (2,802 words) - 02:36, 17 December 2024
  • Relativistic heat conduction (category Hyperbolic partial differential equations)
    (HHC) equation. Mathematically, the above equation is called "telegraph equation", as it is formally equivalent to the telegrapher's equations, which...
    10 KB (1,179 words) - 14:24, 28 May 2025
  • Thumbnail for RLC circuit
    {1}{\alpha }}\right)\,.} RC circuit RL circuit Linear circuit Telegrapher's equations RLC response to driving voltage occurs at the frequency for lossless...
    44 KB (6,658 words) - 14:55, 4 May 2025
  • Thumbnail for Green's function
    Green's function (category Differential equations)
    Green's functions are also useful tools in solving wave equations and diffusion equations. In quantum mechanics, Green's function of the Hamiltonian...
    39 KB (5,191 words) - 16:36, 10 May 2025
  • Thumbnail for Distributed-element circuit
    understood at the time. Heaviside's analysis, now known as the telegrapher's equations, identified the problem and suggested methods for overcoming it...
    48 KB (6,330 words) - 23:23, 22 May 2024