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若均匀带电无限长直线与均匀带电半圆弧相切于顶点,则带电直线在圆心产生的电场与带电半圆弧在圆心产生的电场完全等效;若均匀带电无限大平面与均匀带电半球面相切于顶点,则均匀带电无限大平面在球心产生的电场与带电半球面在球心产生的电场并不完全等效.这是为什么呢?1均匀带电无限长直线的电场与均匀带电半圆弧的电场问题1.一无限长直线均匀带电,电荷线密度为λ,试求离直线R处的场强的大小.解析:如图1所示,直线AB表示均匀带电直线,以O点为圆心,作一半径为R、与直线相切的圆弧,认为圆弧上的电荷分布与直线上的电荷分布密
If the uniformly charged infinite straight line and the uniformly charged semicircular arc are tangent to the apex, the electric field produced by the straight line at the center of the charged line is completely equivalent to the electric field generated by the semicircular arc at the center of the circle. If the uniformly charged infinitely large plane and the uniformly charged hemispherical plane Cut at the apex, the uniform charged infinitely large plane in the center of the electric field and the charged hemispherical electric field generated in the center of the ball is not fully equivalent. This is why? 1 uniformly charged infinite straight line electric field and uniformly charged semicircle Arc electric field problem 1. An infinitely long linear uniform charge, charge density linear density, try to find the size of the field strength from the straight line R. Analysis: As shown in Figure 1, the straight line AB said uniformly charged straight line, O point is Center of the circle, making a radius R, arc tangent to the straight line, that the arc charge distribution and the distribution of the charge on the line