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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.
The following outline of proof states the derivation from the definition of electric potential energy and Coulomb's law to this formula. Outline of proof The electrostatic force F acting on a charge q can be written in terms of the electric field E as F = q E , {\displaystyle \mathbf {F} =q\mathbf {E} ,}
The electric field was formally defined as the force exerted per unit charge, but the concept of potential allows for a more useful and equivalent definition: the electric field is the local gradient of the electric potential. Usually expressed in volts per metre, the vector direction of the field is the line of greatest slope of potential, and ...
In advanced classical mechanics it is often useful, and in quantum mechanics frequently essential, to express Maxwell's equations in a potential formulation involving the electric potential (also called scalar potential) φ, and the magnetic potential (a vector potential) A. For example, the analysis of radio antennas makes full use of Maxwell ...
where () is the electric potential, and C is the path over which the integral is being taken. Unfortunately, this definition has a caveat. From Maxwell's equations , it is clear that ∇ × E is not always zero, and hence the scalar potential alone is insufficient to define the electric field exactly.
The starting point for McFadden and Pockett's theory is the fact that every time a neuron fires to generate an action potential, and a postsynaptic potential in the next neuron down the line, it also generates a disturbance in the surrounding electromagnetic field. McFadden has proposed that the brain's electromagnetic field creates a ...
One volt is defined as the electric potential between two points of a conducting wire when an electric current of one ampere dissipates one watt of power between those points. [2] It can be expressed in terms of SI base units ( m , kg , s , and A ) as
In solid-state physics, especially for metals and semiconductors, the screening effect describes the electrostatic field and Coulomb potential of an ion inside the solid. Like the electric field of the nucleus is reduced inside an atom or ion due to the shielding effect , the electric fields of ions in conducting solids are further reduced by ...