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The Shockley–Ramo theorem is a method for calculating the electric current induced by a charge moving in the vicinity of an electrode. Previously named simply the "Ramo Theorem",the modified name was introduced by D.S. McGregor et al. in 1998 to recognize the contributions of both Shockley and Ramo to understanding the influence of mobile charges in a radiation detector. The theorem appeared in William Shockley's 1938 paper titled "Currents to Conductors Induced by a Moving Point Charge" and in Simon Ramo's 1939 paper titled "Currents Induced by Electron Motion".It is based on the concept that the current induced in the electrode is due to the instantaneous change of electrostatic flux lines that end on the electrode, rather than the amount of charge received by the electrode per second (n

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  • Teorema di Shockley-Ramo (it)
  • Shockley–Ramo theorem (en)
  • Теорема Шокли — Рамо (ru)
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  • The Shockley–Ramo theorem is a method for calculating the electric current induced by a charge moving in the vicinity of an electrode. Previously named simply the "Ramo Theorem",the modified name was introduced by D.S. McGregor et al. in 1998 to recognize the contributions of both Shockley and Ramo to understanding the influence of mobile charges in a radiation detector. The theorem appeared in William Shockley's 1938 paper titled "Currents to Conductors Induced by a Moving Point Charge" and in Simon Ramo's 1939 paper titled "Currents Induced by Electron Motion".It is based on the concept that the current induced in the electrode is due to the instantaneous change of electrostatic flux lines that end on the electrode, rather than the amount of charge received by the electrode per second (n (en)
  • Il Teorema di Shockley-Ramo è uno strumento molto utile nell' che permette di calcolare facilmente i segnali di corrente elettrica indotta da una carica che si muove con una certa velocità vicino ad un elettrodo. Il teorema è basato sul concetto di variazione istantanea delle linee di flusso del campo elettrico prodotte dalla carica, che arrivano all'elettrodo. Apparve per la prima volta sull'articolo di William Shockley "Currents to Conductors Induced by a Moving Point Charge", del 1938, e un anno dopo, nel 1939, nell'articolo di Simon Ramo "Currents Induced by Electron Motion". dove (it)
  • Теорема Шокли — Рамо — это метод расчёта электрического тока, индуцированного зарядом, движущимся вблизи электрода. Он основан на идее, согласно которой ток, индуцируемый в электроде, возникает из-за мгновенного изменения линий электростатического поля, которые заканчиваются на электроде, а не количества заряда, получаемого электродом в секунду. Теорема появилась в статье Уильяма Шокли 1938 года «Токи в проводниках, индуцированные движущимся точечным зарядом» (англ. Currents to Conductors Induced by a Moving Point Charge) и годом позже в 1939 года, озаглавленной «Токи, индуцированные движением электрона» (англ. Currents Induced by Electron Motion). (ru)
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  • The Shockley–Ramo theorem is a method for calculating the electric current induced by a charge moving in the vicinity of an electrode. Previously named simply the "Ramo Theorem",the modified name was introduced by D.S. McGregor et al. in 1998 to recognize the contributions of both Shockley and Ramo to understanding the influence of mobile charges in a radiation detector. The theorem appeared in William Shockley's 1938 paper titled "Currents to Conductors Induced by a Moving Point Charge" and in Simon Ramo's 1939 paper titled "Currents Induced by Electron Motion".It is based on the concept that the current induced in the electrode is due to the instantaneous change of electrostatic flux lines that end on the electrode, rather than the amount of charge received by the electrode per second (net charge flow rate). The Shockley–Ramo theorem states that the instantaneous current induced on a given electrode due to the motion of a charge is given by: where is the charge of the particle; is its instantaneous velocity; and is the component of the electric field in the direction of at the charge's instantaneous position, under the following conditions: charge removed, given electrode raised to unit potential, and all other conductors grounded. The theorem has been applied to a wide variety of applications and fields, including semiconductor radiation detection and calculations of charge movement in proteins. (en)
  • Il Teorema di Shockley-Ramo è uno strumento molto utile nell' che permette di calcolare facilmente i segnali di corrente elettrica indotta da una carica che si muove con una certa velocità vicino ad un elettrodo. Il teorema è basato sul concetto di variazione istantanea delle linee di flusso del campo elettrico prodotte dalla carica, che arrivano all'elettrodo. Apparve per la prima volta sull'articolo di William Shockley "Currents to Conductors Induced by a Moving Point Charge", del 1938, e un anno dopo, nel 1939, nell'articolo di Simon Ramo "Currents Induced by Electron Motion". Il teorema di Shockley-Ramo afferma che la corrente elettrica istantanea im indotta sull'm-esimo elettrodo in un sistema a più elettrodi è data da: dove q è la carica della particella che si muove vicino all'elettrodo;v(t) è la velocità della stessa;Epm è detto "campo peso", ed è il campo elettrico ottenuto mettendo a 1 il potenziale dell'm-esimo elettrodo e a 0 il potenziale di tutti gli altri, nel vuoto. Il segno negativo è scelto in base ad una convenzione, ovvero che il verso della corrente indotta sia uscente dall'elettrodo, cioè dall'elettrodo verso il cavo a cui è collegato. (it)
  • Теорема Шокли — Рамо — это метод расчёта электрического тока, индуцированного зарядом, движущимся вблизи электрода. Он основан на идее, согласно которой ток, индуцируемый в электроде, возникает из-за мгновенного изменения линий электростатического поля, которые заканчиваются на электроде, а не количества заряда, получаемого электродом в секунду. Теорема появилась в статье Уильяма Шокли 1938 года «Токи в проводниках, индуцированные движущимся точечным зарядом» (англ. Currents to Conductors Induced by a Moving Point Charge) и годом позже в 1939 года, озаглавленной «Токи, индуцированные движением электрона» (англ. Currents Induced by Electron Motion). Теорема Шокли — Рамо утверждает, что мгновенный ток i, индуцируемый на данном электроде из-за движения заряда, определяется выражением: где q — заряд частицы ;v — его мгновенная скорость; иEv — составляющая электрического поля в направлении v в точке положения заряда при следующих условиях: заряд удалён, потенциал данного электрода увеличен до единичного потенциала и все другие проводники заземлены. Эта теорема нашла применение в самых разных приложениях и областях, включая детектирование излучения полупроводниками и расчёты движения заряда в белках. (ru)
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