Illustration Equipotential Lines of a Homogeneous E-Field of a Plate Capacitor

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Plate capacitor with sketched electric field lines running homogeneously from one plate to the other. The equipotential lines (i.e. lines on which the potential energy of a test charge is equal) are exactly perpendicular to the electric field lines of a homogeneous E-field.

As an example, some equipotential lines with potentials $$\varphi_0$$ to $$\varphi_5$$ were sketched, where the electric voltage between the capacitor plates corresponds to the potential difference $$U = \varphi_5 - \varphi_0$$.