If potential function is an electric field is given as
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Relation between Electric Intensity and Potential Gradient. The change of electric potential with respect to distance is called potential gradient. It is denoted by dv/dx. hence, the negative of potential gradient is equal with electric field intensity.
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The electric field is the force on a test charge divided by its charge for every location in space. Because it's derived from a force, it's a vector field. The electric potential is the electric potential energy of a test charge divided by its charge for every location in space. ... These two fields are related.
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