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第二章习

第二章习. 2.1 已知 求 ： x=0, x=d 区域内的 Q, X=d/2, X=d 区域内的 Q. 2 ． 4 一个半径为 a 的导体球带电荷量为 Q ．同样以 ω 匀角速度。绕一个直径旋转，求球 表 面的面电流密度。.

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第二章习

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  1. 第二章习 2.1已知 求 ： x=0, x=d区域内的Q, X=d/2, X=d区域内的Q

  2. 2．4 一个半径为a的导体球带电荷量为Q．同样以ω匀角速度。绕一个直径旋转，求球表面的面电流密度。 2．6一个半圆环上均匀分布线电荷ρ，求垂直于圆平面的轴线 z=a 处的电场强度，设半圆环的半径也为a。

  3. 2．11 两个相同的半径为b，各有N匝的同轴线圈，相互隔开距离d，如题2．11图所示。电流I以相同方向流过两个线圈。(1)求两个线圈中点处的B＝exBx；(2)证明：在中点处dB/dx等于零；(3)使中点处 也要等于零，则b和d之间应有何种关系。 解： （1）据P36、2.7.4式，圆环在其轴线处产生 的场强大小为 将 代入得

  4. （2）证明： (3)解：

  5. 要使 则 2．12一条扁平的直导带．宽为2a，中心线与z轴重合．流过电流I，证明在第一象限内 式中r1和r2已在题2.12图中指明。

  6. 2．15 一个通电流I1的长直导线和一个通电流I2的圆环在同一平面上，圆心与导线的距离为d．证明：两电流间相互作用的安培力为 Fm=μ0I1I2(secα-1)这里α是圆环在直线最接近圆环的点所张的角。

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