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Electric and magnetic fields can store energy and its density relates to the strength of the fields within a given volume. This (volumetric) energy density is given by u = ε 2 E 2 + 1 2 μ B 2 {\displaystyle u={\frac {\varepsilon }{2}}\mathbf {E} ^{2}+{\frac {1}{2\mu }}\mathbf {B} ^{2}} where E is the electric field , B is the magnetic field ...
Summary of electrostatic relations between electric potential, electric field and charge density. Here, r = x − x ′ {\displaystyle \mathbf {r} =\mathbf {x} -\mathbf {x'} } . If the electric field in a system can be assumed to result from static charges, that is, a system that exhibits no significant time-varying magnetic fields, the system ...
The energy density, or energy per unit volume, , of the electrostatic field of a continuous charge distribution is: = = | |. Outline of proof One may take the equation for the electrostatic potential energy of a continuous charge distribution and put it in terms of the electrostatic field .
In short, an electric potential is the electric potential energy per unit charge. This value can be calculated in either a static (time-invariant) or a dynamic (time-varying) electric field at a specific time with the unit joules per coulomb (J⋅C −1) or volt (V). The electric potential at infinity is assumed to be zero.
Energy densities table Storage type Specific energy (MJ/kg) Energy density (MJ/L) Peak recovery efficiency % Practical recovery efficiency % Arbitrary Antimatter: 89,875,517,874: depends on density: Deuterium–tritium fusion: 576,000,000 [1] Uranium-235 fissile isotope: 144,000,000 [1] 1,500,000,000
When the electrostatic discharge energy is high enough, it can ignite a fuel vapor and air mixture. Different fuels have different flammable limits and require different levels of electrostatic discharge energy to ignite. Electrostatic discharge while fueling with gasoline is a present danger at gas stations. [24]
However, any type of energy has its direction of movement in space, as well as its density, so energy flux vectors can be defined for other types of energy as well, e.g., for mechanical energy. The Umov–Poynting vector [ 11 ] discovered by Nikolay Umov in 1874 describes energy flux in liquid and elastic media in a completely generalized view.
Electric field infinitely close to a conducting surface in electrostatic equilibrium having charge density at that point is ^ since charges are only formed on the surface and the surface at the infinitesimal scale resembles an infinite 2D plane. In the absence of external fields, spherical conductors exhibit a uniform charge distribution on the ...