All Problems

Constant Electric Field in a Vacuum

Problem 3.50

Determine the potential φ(x,y,z)\varphi(x, y, z) of an electrostatic field E=ayi+(ax+bz)j+byk,\mathbf{E}=a y \mathbf{i}+(a x+b z) \mathbf{j}+b y \mathbf{k}, where aa and bb are constants, i, j,k\mathbf{j}, \mathbf{k} are the unit vectors of the axes x,y,zx, y, z.

Reveal Answer
φ=−y(ax+bz)+ const. \varphi=-y(a x+b z)+\text { const. }
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