We consider physical consequences, resulting from Coulomb’s and Ohm’s laws for the case of an anisotropic medium. First, we derive and analyze the expression for Coulomb’s force in the case of uniaxial crystals. We find that this force is a non-central force. At certain conditions its absolute value depends non-monotonically on the direction in the crystal. We also obtain the relation for the transverse electric field (Sasaki field) in that case. It also demonstrates a non-monotonic dependence on the direction in the crystal. The issues outlined in this article will be useful for undergraduate students studying the advanced topics of electricity.

中文翻译：

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各向异性介质中的库仑定律和欧姆定律

对于各向异性介质，我们考虑由库仑定律和欧姆定律产生的物理后果。首先，我们推导并分析了单轴晶体情况下库仑力的表达式。我们发现这个力是一个非中心力。在某些条件下，它的绝对值非单调地取决于晶体中的方向。在这种情况下，我们还获得了横向电场（Sasaki 场）的关系。它还证明了对晶体方向的非单调依赖性。本文中概述的问题将对学习电力高级主题的本科生有用。