1966
DOI: 10.1119/1.1972306
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Currents Induced by Moving Charges

Abstract: This note demonstrates how the principle of conservation of energy can be used to derive in a simple and correct way the Shockley-Ramo equation for currents induced by charged particles in electronic devices. The simplest form of this equation occurs for a charge q which moves with speed v between two plane-parallel electrodes separated by a distance d. For this case the induced current I is given by I = qv/d. A one-dimensional example, for which the calculations are quite simple, is considered in detail by th… Show more

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Cited by 27 publications
(12 citation statements)
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“…Similar to the concept of image charges, this redistribution induces a current in the external circuit which is measured as J ( t ). The amount of mobile or free charges N F is determined via the Shockley-Ramo theorem 39 41 : where e denotes the elementary charge and x mean the average distance the carriers have to travel during the charge redistribution process (here half of the total superlattice thickness, i.e., ~40 nm). Figure 4b shows the N F values of all samples as function of E. For samples P3 to P5 we observe a saturation behaviour at carrier densities in the low 10 17 cm −3 range.…”
Section: Resultsmentioning
confidence: 99%
“…Similar to the concept of image charges, this redistribution induces a current in the external circuit which is measured as J ( t ). The amount of mobile or free charges N F is determined via the Shockley-Ramo theorem 39 41 : where e denotes the elementary charge and x mean the average distance the carriers have to travel during the charge redistribution process (here half of the total superlattice thickness, i.e., ~40 nm). Figure 4b shows the N F values of all samples as function of E. For samples P3 to P5 we observe a saturation behaviour at carrier densities in the low 10 17 cm −3 range.…”
Section: Resultsmentioning
confidence: 99%
“…For simplicity, we assume the geometry in Fig. 2(a), where two electrodes form the two plates of a parallel plate capacitor, separated by a distance d. An important example (analyzed in [29,33]) is that of a single charged particle with charge q resulting in F = qV /d, i.e. β = q/d.…”
Section: Electrical Equivalent Of Mechanical Motionmentioning
confidence: 99%
“…The effect of ∆F can therefore be lumped into a (usually but not necessarily) small change of the system's mechanical properties, e.g. its spring constant in the case of a harmonic oscillator (for a rigorous derivation see [29,33]). Now assume that the mechanical system is harmonic, i.e.…”
Section: Electrical Equivalent Of Mechanical Motionmentioning
confidence: 99%
“…The resulting oscillation of the plasma induces a current in the pick-up electrode [17,18,19] and a voltage V r = v r (ω)e jωt is detected across the resistance R r [ Fig. 1(a)].…”
Section: Methodsmentioning
confidence: 99%