Electric Field: Sheet of Charge电场:带电平面
![]() For an infinite sheet of charge, the electric field will be perpendicular to the surface. Therefore only the ends of a cylindrical Gaussian surface will contribute to the electric flux . In this case a cylindrical Gaussian surface perpendicular to the charge sheet is used. The resulting field is half that of a conductor at equilibrium with this surface charge density. 对于无限大的带电平面,电场将垂直于表面。因此,圆柱形高斯面的两端将对电通量做出贡献。在这种情况下,使用一个与带电平面垂直的圆柱形高斯面。所得的电场强度是该带电表面密度在平衡状态下导体上电场强度的一半。
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Electric Field: Parallel Plates电场:平行板
If oppositely charges parallel conducting plates are treated like infinite planes (neglecting fringing), then Gauss' law can be used to calculate the electric field between the plates. Presuming the plates to be at equilibrium with zero electric field inside the conductors, then the result from a charged conducting surface can be used: 若将相反电荷的平行导体板视为无限平面(忽略边缘效应),则可以利用高斯定律计算板间的电场。假设板处于平衡状态,导体内部的电场为零,则可以利用带电导体表面的电场结果:
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