The classic image problem in electromagnetism involves a grounded infiniteconducting plane and a point charge. The force of attraction between the pointcharge and the plane is identified using an equivalent-field picture of animage charge with opposite sign equidistant behind the plane resulting in a1/{\it r}$^{\rm 2}$ force of attraction between the original charge and theplane. If the point charge is released from rest it will reach the plane in atime $\tau$. This time $\tau$ has not been calculated correctly up to now.Clarification of the inconsistency is presented along with a correct solutionto the classic image problem. Other electromagnetism problems are mentionedwith attractive 1/{\it r}$^{\it n}$ forces (where {\it n} $\ge$ 1). Suchsituations arise between a point charge and a line charge (1/{\it r}), betweena line charge and a point dipole (1/{\it r}$^{2}$), between a point charge anda point dipole (1/{\it r}$^{3})$, and between a point dipole and a second pointdipole (1/{\it r}$^{4}$).
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机译:电磁学中的经典图像问题涉及接地的无限导电平面和点电荷。点电荷与平面之间的吸引力是使用等价的图像电荷的等效场图片来确定的,该电荷在平面后方等距具有相反的符号,从而导致点电荷与平面之间的吸引力为a1 / {\ it r} $ ^ {\ rm 2} $。原始电荷和飞机。如果点电荷从静止状态释放,它将在$ \ tau $时间内到达飞机。这次$ \ tau $到目前为止尚未正确计算。对不一致性的说明以及对经典图像问题的正确解决方案进行了介绍。以有吸引力的1 / {\ it r} $ ^ {\ it n} $力(其中{\ it n} $ \ ge $ 1)提到了其他电磁问题。这种情况出现在点电荷和线电荷(1 / {\ it r})之间,线电荷和点偶极子(1 / {\ it r} $ ^ {2} $)之间,点电荷和点偶极之间。 (1 / {\ it r} $ ^ {3})$,并且在一个点偶极子与另一个点偶极子(1 / {\ it r} $ ^ {4} $)之间。
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