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点电荷系电场线绘制的误区

MISUNDERSTANDING IN DRAWING ELECTRIC FIELD LINES FOR POINT CHARGE SYSTEM

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【作者】 柴康敏何波

【Author】 Chai Kangmin1,2 He Bo2(1 Chinese Studio of Digitized Teaching,Shanghai 200030)(2 Department of Physics,Shanghai Jiaotong University,Shanghai 200030)

【机构】 中国数字教学工作室上海交通大学物理系

【摘要】 在平面上用电场线簇可视化电场时,仅考虑了电场线切线方向与电场方向一致的规定,忽视了电场线疏密的定量要求.本文对电场线的疏密予以定量,指出平面上出入点电荷的电场线条数应与其电量Q的平方根(|Q|)~(1/2)成正比,还指出绘制非等量异号点电荷对的电场时,点电荷的场线间等夹角发出(或进入)的要求不能满足.

【Abstract】 When electric field is shown by the electric field lines in a plane,generally,the definition of the tangent direction of the lines is considered,but the quantitative requirements of the electric field lines density are ignored.In this paper,we discuss the quantitative description of the electric field lines density,and point out that the number of the field lines from or to a point charge in a plane is proportional to the square root of its electric quantity.We also prove that the property of equal angle between the electric field lines around point charges cannot be satisfied in the case of a pair of point charges with different values and opposite signs.

  • 【文献出处】 物理与工程 ,Physics and Engineering , 编辑部邮箱 ,2009年06期
  • 【分类号】O441.1
  • 【被引频次】5
  • 【下载频次】205
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