All Problems

Constant Electric Field in a Vacuum

Problem 3.48

Find the potential φ(x,y)\varphi(x, y) of an electrostatic field E=\mathbf{E}= =a(yi+xj),=a(y \mathbf{i}+x \mathbf{j}), where aa is a constant, i\mathbf{i} and j\mathbf{j} are the unit vectors of the xx and yy axes.

Reveal Answer
φ=−axy+ const. \varphi=-a x y+\text { const. }
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