All Problems

Constant Electric Field in a Vacuum

Problem 3.35

Find the electric field strength vector if the potential of this field has the form φ=\varphi= ar, where a is a constant vector, and r\mathrm{r} is the radius vector of a point of the field.

Reveal Answer
E=−a, i.e. the field is uniform. \mathbf{E}=-\mathbf{a}, \text { i.e. the field is uniform. }
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