Relationships Between Force, Field, Energy, Potential Video Lessons

Concept

# Problem: The electric potential in a certain region is plotted in the following graph1. At which point is the magnitude of the E-field greatest?2. At which point is the direction of the E-field along the negative x-axis?

###### FREE Expert Solution

The electric field is given by:

$\overline{){\mathbf{E}}{\mathbf{=}}{\mathbf{-}}\frac{\mathbf{d}\mathbf{V}}{\mathbf{d}\mathbf{x}}}$

The electric field is the slope of the curve.

(1)

The magnitude of the electric field is greatest where the slope is greatest.

The slope is greatest at point B.

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###### Problem Details

The electric potential in a certain region is plotted in the following graph

1. At which point is the magnitude of the E-field greatest?

2. At which point is the direction of the E-field along the negative x-axis?