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Magnetic Vector Potential01:15

Magnetic Vector Potential

629
In electrostatics, the electric field can be written as the negative gradient of the potential. In magnetostatics, the zero divergence of the magnetic field ensures that the magnetic field can be expressed as the curl of a vector potential. This potential is known as the magnetic vector potential.
Consider an ideal solenoid with n turns per unit length and radius R. If I is the current through the solenoid, the magnetic field inside the solenoid is expressed as the product of vacuum...
629
Magnetic Force Between Two Parallel Currents01:13

Magnetic Force Between Two Parallel Currents

3.5K
Two long, straight, and parallel current-carrying conductors exert a force of equal magnitude on one another. The direction of the force depends on the current direction in the conductors.
The force exerted by the magnetic field due to the first conductor over a finite length of the second conductor is given as the product of the current in the second conductor and  the vector product of the length vector along the current element and the field due to the first conductor. According to the...
3.5K
Magnetic Force On A Current-Carrying Conductor01:25

Magnetic Force On A Current-Carrying Conductor

4.1K
Moving charges experience a force in a magnetic field. Since the magnetic fields produced by moving charges are proportional to the current, a conductor carrying a current creates a magnetic field around it.
Consider a compass placed near a current-carrying wire. The wire experiences a force that aligns the needle of the compass tangentially around the wire. Thus, the current-carrying wire produces concentric circular loops of magnetic field. The magnetic field generated by a wire can be...
4.1K
Carrier Transport01:21

Carrier Transport

444
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:
444
Magnetic Force On Current-Carrying Wires: Example01:22

Magnetic Force On Current-Carrying Wires: Example

1.5K
In a magnetic field, moving charges encounter a force. If a wire contains these moving charges, i.e., if the wire is carrying a current, then a force acts on the wire as well. Consider a pair of flexible leads holding a wire that is 40 cm long and 10 g in weight in a horizontal position. The wire is placed in a constant magnetic field of 0.40 T, as shown in Figure 1(a). Determine the magnitude and direction of the current flowing in the wire needed to remove the tension in the supporting leads.
1.5K
Biot-Savart Law01:19

Biot-Savart Law

6.2K
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...
6.2K

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Video Experimental Relacionado

Updated: Jul 4, 2025

Chemotactic Response of Marine Micro-Organisms to Micro-Scale Nutrient Layers
22:38

Chemotactic Response of Marine Micro-Organisms to Micro-Scale Nutrient Layers

Published on: May 28, 2007

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Corrientes vectoriales de nanoescala impulsadas por la luz

Jacob Pettine1, Prashant Padmanabhan2, Teng Shi2

  • 1Center for Integrated Nanotechnologies, Los Alamos National Laboratory, Los Alamos, NM, USA. jacob.pettine@lanl.gov.

Nature
|February 7, 2024
PubMed
Resumen
Este resumen es generado por máquina.

Los científicos desarrollaron nuevas superficies vectoriales optoelectrónicas. Estos utilizan pulsos de luz para controlar los flujos de carga a nanoescala en los materiales, lo que permite nuevas aplicaciones en microelectrónica y ciencia de la información.

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Área de la Ciencia:

  • Optoelectrónica y sus derivados
  • Nanotecnología
  • Las plasmónicas

Sus antecedentes:

  • El flujo de carga controlado es crucial para la energía, la transferencia de información y las propiedades del material de sondeo.
  • El control óptico de corrientes ofrece ventajas sobre los sistemas tradicionales impulsados por voltaje, pero enfrenta desafíos a nanoescala.
  • Los sistemas optoelectrónicos escalables requieren una manipulación óptica precisa de las corrientes a escalas nanométricas.

Objetivo del estudio:

  • Introducir metasuperficies optoelectrónicas vectoriales para el control óptico de flujos de carga a nanoescala.
  • Para demostrar corrientes locales y globales sintonizables y con patrones arbitrarios utilizando la luz.
  • Para explorar la física subyacente de la dinámica de carga inducida por la luz en materiales como el grafeno.

Principales métodos:

  • Fabricación de metasuperficies optoelectrónicas vectoriales con nanoestructuras plasmónicas sin simetría.
  • Excitación de las nanoestructuras con pulsos de luz ultrarrápidos.
  • Caracterización mediante lectura eléctrica dependiente de la polarización y sensible a la longitud de onda y emisión en terahercios (THz).

Principales resultados:

  • Inducción óptica demostrada de flujos de carga direccionales locales a escalas nanométricas de difracción.
  • Se lograron respuestas sintonizables y patrones arbitrarios de corrientes a nanoescala.
  • Generar haces vectoriales de banda ancha en terahercios (THz) a través de corrientes globales adaptadas.
  • Interacción compleja observada de los efectos electrodinámicos, termodinámicos e hidrodinámicos en el grafeno.

Conclusiones:

  • Las metasuperficies optoelectrónicas vectoriales permiten el patrón óptico versátil y el control de las corrientes a nanoescala.
  • Los hallazgos allanan el camino para avances en el diagnóstico de materiales, espectroscopias THz, nanomagnetismo y procesamiento de información ultrarrápido.
  • Este trabajo establece un nuevo paradigma para los dispositivos optoelectrónicos a nanoescala.