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1、第 8 章 稳恒磁场习题及答案6.如图所示，AB、CD为长直导线，CB为圆心在O点的一段圆弧形导线，其半径为R。若通以电流I，求O点的磁感应强度。解：O点磁场由AB、CB、CD三部分电流产生，应用磁场叠加原理。AB在O点产生的磁感应强度为01BCB在O点产生的磁感应强度大小为RIB402RIRI123400，方向垂直纸面向里CD在O点产生的磁感应强度大小为)cos(cos421003rIB)180cos150(cos60cos400RI)231(20RI，方向垂直纸面向里故)6231(203210RIBBBB，方向垂直纸面向里7.如图所示，两根导线沿半径方向引向铁环上的A，B两点，并在很远处与
2、电源相连。已知圆环的粗细均匀，求环中心O的磁感应强度。解：圆心O点磁场由直电流A和B及两段圆弧上电流1I与2I所产生，但A和B在O点产生的磁场为零。且21221RRII电阻电阻1I产生的磁感应强度大小为）（24101RIB，方向垂直纸面向外2I产生的磁感应强度大小为RIB4202，方向垂直纸面向里所以，1)2(2121IIBB环中心O的磁感应强度为0210BBB8.如图所示，一无限长载流平板宽度为a，沿长度方向通过均匀电流I，求与平板共面且距平板一边为b的任意点P的磁感应强度。解：将载流平板看成许多无限长的载流直导线，应用叠加原理求解。以P点为坐标原点，垂直载流平板向左为x轴正方向建立坐标系。
3、在载流平板上取dxaIdI，dI在P点产生的磁感应强度大小为xdIdB20dxaxI20，方向垂直纸面向里P点的磁感应强度大小为abbxdxaIdBB20babaIln20方向垂直纸面向里。9.如图所示，真空中有两个点电荷A,B,分别带有电量q和q，相距为d。它们都以角速度绕轴OO转动，轴OO与AB连线相互垂直，其交点为C，距A点为3d。求C点的磁感应强度。解：q电荷运动形成电流大小为21qTqI1I在C点产生的磁感应强度大小为3/2210101dIRIBdq430方向沿OO方向同理，q电荷运动形成电流的电流2I在C点产生的磁感应强度大小为3/22202dIBdq830方向沿OO的反方向所以，
4、C点的磁感应强度大小为21BBBdq830方向沿OO方向10.已知磁感应强度大小0.2BWbm-2的均匀磁场，方向沿x轴正方向，如图所示。试求：(1)通过图中abcd面的磁通量；(2)通过图中befc面的磁通量；(3)通过图中aefd面的磁通量。解：(1)通过abcd面积1S的磁通量为24.0cos4.03.00.211SBWb(2)通过befc面积2S的磁通量为022SB(3)通过aefd面积3S的磁通量为cos5.03.0233SB24.0545.03.02Wb11如图所示，真空中一半径为r的金属小圆环，在初始时刻与一半径为R（rR）的金属大圆环共面且同心，在大圆环中通以恒定的电流I，如果
5、小圆环以匀角速度绕其直径转动，求任一时刻t通过小圆环的磁通量m。解：载流大圆环在圆心处产生的磁感应强度大小为RIB20，方向垂直纸面向外任一时刻t通过小圆环的磁通量为trBSBmcos2文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F
6、1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编
7、码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10
8、U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1
9、M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3
10、R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8
11、B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4
12、V10X5F1I712.如图所示，电流III21，求沿回路1L、2L以及3L的磁感应强度的环流。解：由安培环路定理得IIldBL0101IIldBL02020)(2103IIl dBL13.一根很长的同轴电缆，由一导体圆柱(半径为a)和一同轴的导体圆管(内、外半径分别为b,c)构成，横截面如图所示。使用时，电流I从一导体流去，从另一导体流回，设电流都是均匀地分布在导体的横截面上。求：(1)导体圆柱内(ra)；(2)两导体之间(arb)；（3）导体圆筒内(brc)以及(4)电缆外(rc)各点处磁感应强度的大小。解：磁场分布具有轴对称性，在横截面内取同心圆为回路，应用安培环路定理，有iIrBldB
13、02(1)当ar时，22raIIi，所以202 aIrB(2)当bra时，IIi，所以rIB20(3)当crb时，)()(2222brbcIIIi，所以)(2)(22220bcrrcIB(4)当cr时，0iI，所以0B14.有一长直导体圆管，内外半径分别为R1和 R2，如图所示，它所载的电流1I均匀分布在其横截面上。导体旁边有一绝缘“无限长”直导线，载有电流2I，且在中部绕了一个半径为R的圆圈。设导体管的轴线与长直导线平行，相距为d，而且它们与导体圆圈共面，求圆心O点处的磁感应强度。解：应用磁场叠加原理求解。长直载流导体圆管产生的磁场分布具有轴对称性，在横截面内取圆心在轴线上、过O点的圆周为回
14、路，应用安培环路定理，有iIdRBldB01)(210I所以，长直载流导体圆管在O点产生的磁感强度大小为dRIB1012，方向垂直纸面向里电流2I的长直导线在O点产生的磁感强度大小为RIB2022，方向垂直纸面向外电流2I的圆线圈在O点产生的磁感强度大小为d R O I1I2I2文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V
15、10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1
16、I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码
17、:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U
18、1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M
19、6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R
20、4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B
21、4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7RIB2203，方向垂直纸面向外所以，O点的磁感强度大小为)1(2120132dRIRIBBBB方向垂直纸面向外。15.在半径为R的长直圆柱形导体内部，与轴线平行地挖成一半径为r的长直圆柱形空腔，两轴间距离为a,且ar，横截面如图所示。现在电流I沿导体管流动，电流均匀分布在管的横截面上，而电流方向与管的轴线平行。求：(1)圆柱轴线上的磁感应强度的大小；(2)空心部分轴线上的磁感应强度的大小。解：在空腔处补上沿导体管流动、在横截面均匀分布的电流2I和2I，应用补偿法求解。电流2I和2I
22、在空间产生的磁场相互抵消，因此空间各点磁场可看作半径为R、电流21III均匀分布在横截面上的圆柱导体和半径为r、电流2I均匀分布在横截面上的圆柱导体产生的磁场的叠加。2I和1I的大小为2222)(rrRII222rRIr21III222rRIR1I和2I产生的磁场分布具有轴对称性，应用安培环路定理求磁感应强度。（1）电流1I在O点产生的01B，电流2I在O点产生的磁感应强度满足IaBldB022I222020222rRIraaIB圆柱轴线上的O点B的大小为)(22220210rRaIrBBB(2)电流2I在O点产生的02B，电流1I在O点产生的磁感应强度满足iIaBldB0122210aRI2
23、21012RaIaB)(2220rRIa空心部分轴线上O点磁感应强度的大小为)(2220210rRIaBBB16.通以电流I的导线abcd形状如图所示，lcdab，bc弧是半径为R的半圆周，置于磁感应强度为B的均匀磁场中，B的方向垂直纸面向里。求此导线受到安培力的大小和方向。解：应用安培定律求解。ab边受力大小为BIlFab，方向：向左cd边受力大小为yxldFd文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4
24、V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F
25、1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编
26、码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10
27、U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1
28、M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3
29、R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8
30、B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7BIlFcd，方向：向右对于bc边，建立图示坐标系。在bc边上取电流元lId，BIRdBIdldF根据对称性有0 xFdBIRdFdFysinsin0sin dBIRdFFyyBIR2此导线受到安培力的大小为BIRF2，方向沿y轴正向。17.在长直导线AB内通以电流1I，在矩形线圈CDEF中通有电流2I，AB与线圈共面，且CD，EF都与AB平行，线圈的尺寸及位置均如图所示。求：导线AB的磁场对矩形线
31、圈每边所作用的力及矩形线圈所受合力。解：CDF方向垂直CD向左，大小dIbIFCD2102同理，FEF方向垂直FE向右，大小)(2102adIbIFFECFF方向垂直CF向上，大小为addCFdadIIrrIIFln2d2210210EDF方向垂直ED向下，大小为CFEDFF线圈所受合力EDCFFECDFFFFF方向向左，大小为)(2210addaIbIFFFFECD18.有圆线圈直径8cm，共 12 匝，通电流 5A，将此线圈置于磁感应强度为0.6T 的匀强磁场中。试求：（1）作用在线圈上的最大磁力矩；（2）线圈法线方向与磁场方向夹角多大时，力矩是线圈上最大力矩的一半？（取最小角度）解：(1
32、)NIRNISPm2mNNIBRBPMm18.090sin20(2)BPBPMmm21sin，所以619.一线圈由半径为R的1/4圆弧和相互垂直的二直线组成，通以电流I，把它放在磁感应强度大小为B的均匀磁场中(磁感应强度 B的方向如图所示)。求：(1)线圈平面与磁场垂直时，圆弧 AB 所受的磁力；(2)线圈平面与磁场成60 角时，线圈所受的磁力矩大小。解：（1）建立图示坐标系。在圆弧上取电流元lIdBIRdBIdldF根据对称性有0 xFyxldFd文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 Z
33、Z4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X
34、5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文
35、档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC
36、10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2
37、W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 H
38、Q3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9
39、R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7dBIRdFdFycoscos44cos dBIRdFFyyIRB2圆弧 AB 所受的磁力的大小为BIRF2，方向与直线AB垂直，且与OB的夹角为045；（2）线圈的磁矩大小为IRISPm241线圈所受的磁力矩大小为030sinBPMmIBR28120.电子在TB3100.7的匀强磁场中作圆周运动，圆周半径cmr
40、0.3。已知B垂直于纸面向外，某时刻电子在A点，速度向上，如图所示。（1）试画出这电子运动的轨道；（2）求这电子速度的大小；（3）求这电子的动能kE。解：(1)轨迹如图(2)由牛顿第二定律得，rmBe2故7107.3meBr1sm(3)162K102.621mEJ21.如图所示的三条线表示三种不同磁介质的HB关系曲线，虚线是B=H0关系的曲线，试指出哪一条是表示顺磁质?哪一条是表示抗磁质?哪一条是表示铁磁质?解：曲线是顺磁质，曲线是抗磁质，曲线是铁磁质。22.一长直同轴电缆线由半径为1R的导体和套在它外面的半径为2R的同轴薄导体圆筒组成。已知导体内的相对磁导率为1r，导体与薄导体圆筒之间的绝缘
41、材料的相对磁导率为2r。若电流由导体流入(电流在截面上均匀分布)而从薄导体圆筒流出，求：（1）磁介质内、外的磁场强度的分布；（2）磁介质内外的磁感应强度的分布。解：（1）磁场分布具有轴对称性，在横截面内取圆心在轴线上、半径为r的圆周为回路，应用介质中的安培环路定理，有iIrHldH2当1rR时，221rRIIi，所以1212rIHR当12RrR时，IIi，所以22IHr当2Rr时，0IIIi，所以30H（2）HBr0，所以当1rR时，011212rIrBR文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B
42、4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V
43、10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1
44、I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码
45、:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U
46、1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M
47、6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R
48、4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7当12RrR时，0222rIBr当2Rr时，30B23.细螺绕环中心周长cmL10，环上线圈匝数200N匝，线圈中通有电流mAI100。求：(1)当管内是真空时，管中心的磁场强度H和磁感应强度0B；(2)若环内充满相对磁导率4200r的磁性物质，则管内的B和H各是多少?解：(1)取同心圆周为回路，应用介质中
49、的安培环路定理IlHld，有NIHL200LNIH1mA400105.2HBT(2)200H1mA05.1HHBorT文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 Z
50、Z4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X5F1I7文档编码:CC10U1C2W1M6 HQ3R4R9R8B4 ZZ4V10X