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Chapter 23

ガウスの法則

Chapter 23

Gauss’s Law

The concept of flux describes how much of something goes through a given area. More formally, it is the dot product of a vector field within an area. For …
Consider the electric field of an oppositely charged, parallel-plate system and an imaginary box between those plates. Let the bottom face of the box be …
If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one …
Gauss's law helps determine electric fields even though the law is not directly about electric fields but electric flux. In situations with certain …
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In …
A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along …
A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane …
When a conductor is placed in an external electric field, the free charges in the conductor redistribute and very quickly reach electrostatic equilibrium. …
An interesting property of a conductor in static equilibrium is that extra charges on the conductor end up on its outer surface, regardless of where they …
Consider a conductor in electrostatic equilibrium. The net electric field inside a conductor vanishes, and extra charges on the conductor reside on its …
Gauss's law states that the electric flux through any closed surface equals the net charge enclosed within the surface. This law is beneficial for …
Gauss' law relates the electric flux through a closed surface to the net charge enclosed by that surface. Gauss's law can be applied to find the …
The divergence of a vector is a measure of how much the vector spreads out (diverges) from a point. For example, an electric field vector diverges from …
Solid oxide fuel cells (SOFCs) are potentially the most efficient and cost-effective solution to utilization of a wide variety of fuels beyond hydrogen …
Stretchable electronics are identified as a key technology for electronic applications in the next generation. One of the challenges in fabrication of …
A neuron will fire an action potential when its membrane potential exceeds a certain threshold. In typical activity of the brain, this occurs as a result …
Here, the authors report the embedded metal-mesh transparent electrode (EMTE), a new transparent electrode (TE) with a metal mesh completely embedded in a …