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Related Concept Videos

The Y-to-Y Circuit01:19

The Y-to-Y Circuit

In a balanced four-wire wye-to-wye system, the arrangement involves wye-connected sinusoidal voltage sources and loads, connected through a neutral wire that links the neutral nodes of the source and load. The load impedance is connected across each phase of the load. The wye-connected source can be connected to the wye-connected load in four-wire and three-wire arrangements. A three-phase system is considered balanced when the load on each phase is equal, leading to uniform current flow and...
Mesh Analysis with Current Sources01:10

Mesh Analysis with Current Sources

Mesh analysis becomes simpler when analyzing circuits with current sources, whether independent or dependent. The presence of current sources reduces the number of equations required for analysis. Two cases illustrate this:
Current Source in One Mesh: The analysis process is straightforward when a current source is found in only one mesh within the circuit. Mesh currents are assigned as usual, with the mesh containing the current source excluded from the analysis. Kirchhoff's voltage law (KVL)...
Kirchhoff's Current Law01:04

Kirchhoff's Current Law

In the realm of electrical engineering, physicist Gustav Robert Kirchhoff made a significant contribution in 1847 by introducing Kirchhoff's laws for electric circuit analysis. These laws, particularly Kirchhoff's Current Law (KCL), have become foundational principles in understanding and analyzing electrical circuits.
Kirchhoff's Current Law is based on the principle of charge conservation. It states that at any node (a point where two or more circuit elements meet) in an electrical circuit,...
Debye–Huckel–Onsager Conductance Equation01:28

Debye–Huckel–Onsager Conductance Equation

The Debye-Hückel-Onsager equation is a cornerstone of physical chemistry, providing a method to determine the molar conductance (Λm) and molar conductance at infinite dilution (Λ°m) for uni-univalent electrolytes.Uni-univalent electrolytes are electrolytes that dissociate in solution to produce one cation with a +1 charge and one anion with a –1 charge per formula unit.This equation addresses two crucial phenomena: the asymmetry effect and the electrophoretic effect. According to this equation,...
Biot-Savart Law01:19

Biot-Savart Law

The Biot-Savart law gives the magnitude and direction of the magnetic field produced by a current. This empirical law was named in honor of two scientists, Jean-Baptiste Biot and Félix Savart, who investigated the interaction between a straight, current-carrying wire and a permanent magnet.
A current-carrying wire creates a magnetic field in its vicinity. Consider an infinitesimal current element dl in a wire. The direction of vector dl is along the direction of the current. The total magnetic...
Carrier Transport01:21

Carrier Transport

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.
Drift Current:
The drift of charge carriers is started by an external electric field (E). Charged particles, such as electrons and holes, experience an acceleration between collisions with lattice atoms. For electrons, this results in a drift velocity (vd) given by:

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Related Experiment Video

Updated: Jul 4, 2026

Contribution of the Na+/K+ Pump to Rhythmic Bursting, Explored with Modeling and Dynamic Clamp Analyses
08:34

Contribution of the Na+/K+ Pump to Rhythmic Bursting, Explored with Modeling and Dynamic Clamp Analyses

Published on: May 9, 2021

Symmetrized general hopping current equation.

Ilan Riess1, Joachim Maier

  • 1Max-Planck-Institut für Festkörperforschung, Heisenbergstrabe 1, 70569 Stuttgart, Germany. riess@techunix.technion.ac.il

Physical Review Letters
|June 4, 2008
PubMed
Summary
This summary is machine-generated.

A new current equation simplifies understanding electrical and compositional effects. It uses a local nonequilibrium conductivity and a sinh function, applicable even with strong driving forces.

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Application of Electrophysiology Measurement to Study the Activity of Electro-Neutral Transporters
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Application of Electrophysiology Measurement to Study the Activity of Electro-Neutral Transporters

Published on: February 3, 2018

Related Experiment Videos

Last Updated: Jul 4, 2026

Contribution of the Na+/K+ Pump to Rhythmic Bursting, Explored with Modeling and Dynamic Clamp Analyses
08:34

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Published on: May 9, 2021

Application of Electrophysiology Measurement to Study the Activity of Electro-Neutral Transporters
11:51

Application of Electrophysiology Measurement to Study the Activity of Electro-Neutral Transporters

Published on: February 3, 2018

Area of Science:

  • Physics
  • Materials Science
  • Chemistry

Background:

  • Understanding charge transport is crucial in materials science.
  • Local thermal equilibrium (LTE) is a common assumption in transport models.
  • Non-equilibrium conditions present challenges for existing transport equations.

Purpose of the Study:

  • To develop a generalized current equation valid under LTE.
  • To incorporate both electrical and compositional driving forces.
  • To account for complex phenomena like interactions and structural variations.

Main Methods:

  • Formulation of a simple current equation.
  • Expression of current using local nonequilibrium conductivity.
  • Utilizing a sinh function of normalized electrochemical potential drop.

Main Results:

  • A simple current equation is derived within the LTE validity range.
  • The equation is independent of the driving force magnitude.
  • The derived relation accounts for electrical and compositional effects.

Conclusions:

  • The proposed current equation offers a unified approach to charge transport.
  • It provides a framework for including interactions and structural variations.
  • This model enhances the understanding of transport phenomena in various materials.