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(2013年第30届全国物理竞赛决赛第4题)一电路包含内阻为RE、电动势为E的直流电源和N个阻值均为R的相同电阻,有N+1个半径为r的相同导体球通过细长导线与电路连接起来.为消除导体球之间的相互影响,每个导体球的外边都用内半径为r0(>r)的同心接地导体薄球壳包围起来,球壳上有小缺口容许细长导线进入但与其绝缘,如图1所示.把导体球按照从左向右的顺序依次编号为1到N+1,所有导体球起初不带电,开关闭合并达到
(2013 30th National Physics Competition finals No. 4) A circuit contains the resistance of the RE, the electromotive force E of the DC power supply and N resistance are the same resistance R, there are N + 1 the same radius r The conductor ball is connected to the circuit by an elongated conductor To eliminate the interaction between the conductor balls, the outer edges of each conductor ball are surrounded by a concentrically grounded conductor thin spherical shell with an inner radius r0 (> r) A small notch allows the elongated wire to enter but is insulated from it, as shown in Figure 1. The conductor balls are numbered 1 to N + 1 in order from left to right, all conductor balls are initially de-energized, the switch closes and reaches