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The electric potential and the magnetic vector potential together form a four-vector, so that the two kinds of potential are mixed under Lorentz transformations. Practically, the electric potential is a continuous function in all space, because a spatial derivative of a discontinuous electric potential yields an electric field of impossibly ...
Voltage, also known as (electrical) potential difference, electric pressure, or electric tension is the difference in electric potential between two points. [ 1 ] [ 2 ] In a static electric field , it corresponds to the work needed per unit of charge to move a positive test charge from the first point to the second point.
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
where r is the distance between the point charges q and Q, and q and Q are the charges (not the absolute values of the charges—i.e., an electron would have a negative value of charge when placed in the formula). The following outline of proof states the derivation from the definition of electric potential energy and Coulomb's law to this formula.
There are various types of potential energy, each associated with a particular type of force. For example, the work of an elastic force is called elastic potential energy; work of the gravitational force is called gravitational potential energy; work of the Coulomb force is called electric potential energy; work of the strong nuclear force or weak nuclear force acting on the baryon charge is ...
Extending this definition, an isopotential is the locus of all points that are of the same potential. Gravity is perpendicular to the equipotential surfaces of the gravity potential , and in electrostatics and steady electric currents , the electric field (and hence the current, if any) is perpendicular to the equipotential surfaces of the ...
The work per unit of charge is defined by moving a negligible test charge between two points, and is expressed as the difference in electric potential at those points. The work can be done, for example, by electrochemical devices (electrochemical cells) or different metals junctions [clarification needed] generating an electromotive force ...
The electric field () at any point is the gradient (rate of change) of the electrostatic potential : ∇ V = E {\displaystyle \nabla V=\mathbf {E} \,} Since there can be no electric field inside a conductive object to exert force on charges ( E = 0 ) {\displaystyle (\mathbf {E} =0)\,} , within a conductive object the gradient of the potential ...