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Equivalent Resistance01:16

Equivalent Resistance

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In circuit analysis, situations often arise where resistors are neither in series nor parallel configurations. To tackle such scenarios, three-terminal equivalent networks like the wye (Y) (Figure 1 (a)) or tee (T) and delta (Δ) (Figure 1 (b)) or pi (π) networks come into play. These networks offer versatile solutions and are frequently encountered in various applications, including three-phase electrical systems, electrical filters, and matching networks.
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The generation of electrical current in semiconductors is fundamentally driven by two mechanisms: drift and diffusion. These processes are essential for the functionality and performance of semiconductor-based devices.
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A conductor's DC resistance at a given temperature is influenced by its resistivity, length, and cross-sectional area. Resistivity is an inherent property of the conductor material, with annealed copper serving as the international standard for measurement. For instance, the resistivity of hard-drawn aluminum at 20 degrees Celsius is 61% of the standard conductivity of annealed copper.
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When a solid cylinder rolls steadily on a rigid surface, the normal force applied by the surface on the cylinder is perpendicular to the tangent at the contact point. However, since no materials are entirely rigid, the surface's reaction to the cylinder involves a range of normal pressures.
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Differential Relays01:20

Differential Relays

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Differential relays are used to protect generators, buses, and transformers by comparing electrical quantities at different points. When a fault occurs, the difference in current between the two points triggers the relay to operate, opening the circuit breaker. Under normal conditions, the current entering (i1) and leaving (i2) a generator are equal. When a fault occurs, however, these currents become unequal, and the difference current flows in the relay operating coil, causing the relay to...
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Rolling Resistance: Problem Solving01:17

Rolling Resistance: Problem Solving

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Rolling resistance, also known as rolling friction, is the force that resists the motion of a rolling object, such as a wheel, tire, or ball, when it moves over a surface. It is caused by the deformation of the object and the surface in contact with each other, as well as other factors like internal friction, hysteresis, and energy losses within the materials. Rolling resistance opposes the object's motion, requiring additional energy to overcome it and maintain movement. In practical...
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Updated: Apr 18, 2026

Recombination Dynamics in Thin-film Photovoltaic Materials via Time-resolved Microwave Conductivity
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Microscopic theory for negative differential mobility in crowded environments.

O Bénichou1, P Illien1, G Oshanin1

  • 1Sorbonne Universités, UPMC Univ Paris 06, UMR 7600, LPTMC, F-75005 Paris, France and CNRS, UMR 7600, Laboratoire de Physique Théorique de la Matiére Condensée, F-75005 Paris, France.

Physical Review Letters
|January 24, 2015
PubMed
Summary
This summary is machine-generated.

We found that a driven particle

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Area of Science:

  • Physics
  • Statistical Mechanics
  • Condensed Matter Physics

Background:

  • Transport phenomena in crowded environments are crucial in various physical systems.
  • Negative differential mobility (NDM) is an intriguing phenomenon observed in diverse physical contexts.
  • Understanding the factors controlling NDM is essential for designing advanced materials and devices.

Purpose of the Study:

  • To analytically investigate the stationary velocity of a driven particle in a system with mobile hard-core obstacles.
  • To elucidate the conditions under which negative differential mobility (NDM) occurs.
  • To unify and extend existing numerical and analytical findings on NDM in crowded environments.

Main Methods:

  • Utilizing a lattice gas model to represent the system.
  • Employing analytical techniques to derive the drift velocity dependence on applied force.
  • Quantitatively analyzing the influence of obstacle density and diffusion timescale.

Main Results:

  • Demonstrated analytically that drift velocity can show nonmonotonic dependence on applied force.
  • Quantitatively showed that NDM is controlled by obstacle density and diffusion timescale.
  • Identified the full parameter space where NDM occurs.

Conclusions:

  • NDM can be a generic feature of biased transport in crowded environments.
  • The findings provide a unified framework for understanding NDM in such systems.
  • Suggests potential for controlling transport properties by tuning obstacle characteristics.