What is the relationship between electric potential and the electric field?

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Andy Resnick
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The electric field is the gradient of the electric potential.
 
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The electric field is the gradient of the electric potential.

However, if there is a time-varying magnetic field present, the electric field is not fully described by the electric potential. In that case, the electric field also has a contribution from the time-derivative of the magnetic vector potential.

Torquil
 

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