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Connecting electric potential and field using calculus | AP Physics | Khan Academy

Khan Academy Video 1 months ago

Description

At a given location in an electrostatic field, the electric field component in a particular direction equals the negative derivative of electric potential with respect to position in that direction. The change in electric potential between two points equals the negative integral of the dot product of the electric field and the displacement along a path connecting them. This change is independent of the path chosen.

Sections:
00:00 - Finding electric field from potential
00:45 - From average field to field at a point
02:07 - Field components in two and three dimensions
03:31 - Finding potential difference from field
06:14 - Worked example with uniform electric field

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