《静电场IB》ppt课件

1、n()0A ()0 旋无散梯无旋SVA dsAdVCSA dlA dsGauss公式Stokes公式假设知一个矢量场散度和旋度能否独一确定该矢量场？FA 304q q RFRmF /1036110854. 8912030()( )4|q qrrF rrr,|Rrr Rrr易知( ) iqFiriqniiiinqqqqrrrrqqFFFrF130)()2()1( )(4)(61212310 C10Cqqq ，12311222yxxrarara ，11223112231122yxyxrraarrrraarr，3311223301293120()()431319 3 1042222qyxyxyqq

2、rrq rrFrrrrqqaaqaaa 32000( )lim(C/m ) lim(C/m ) lim(C/m)slVslqdqqdqqdqrrrVdVsdsldl 0( )limVqdqrVdV 0limssqdqrsds 0limllqdqrldl Vd Vd r dqr dVdq VdrrrrrqrFdq304 VqVdrrrrrqrF304 regionqqdrrrrqrF304 线电荷面电荷体电荷l drsdrVdrqdlsr qrFrEq rFqrir (1)inqrriqrE(r)E(r)E(r) 304rrrrqrE 31014niirrE rqrr regionqdrrrrr

3、E30412cossinlzxyQardaraaaa 302302202332222220014cossin1424llxyzllzzrrE rdlrraaaadaadaddadQaaadadzyxEdzEdyEdx51q1q2sdcosdsdscosdEdsE dssE dssE ds304rrqEsssdrrqsdE30422222000000011sin44444ssqdsqqdsrd drrrqq 0q0q0ssdE外在内在sqsqqsdE000QsdEs0ES12300sqqqQE dssdE/Eds0E sQEQsEdsEdsEsdEsss0000sssssE dsE dsE ds

4、E dsQQEdsE sEs只能求出S处EsdE/131043srE ds321111100044,()333rrrE sErEEra232043saEds3332222200044333aaaErEErrarr12302ssssE dsE dsE dsE dsQErL 200230232rrQr r dr dLr dr Lr L 20rrEa30raEar202303 r ()53r ()22aErarErrEraaa0E22(sin)()111sinsinrAAr AArrrr22030 (ra)15() (ra)2oEara31rrrrrr 30001( )()11( )( )4411(

5、 )4VVVrrrE rdVrdVrrrrrdVrr 0EE VdVrrrr) (41)(04)(0rrqr0lE dl000()( )PPPPE dldlPP 0( )PPPE dl( )PPE dl0EE 02202222222zyx场。lldlEql dFWcos0rarqE204BArrlrrdrqqdrrqqdWWBA114400200,(c)c是常量E 022 1/2222 1/200022 1/20( )1( )4a , cos asina(),( )4() ()|2SSzxyaSSrrdSrrrzrrrzdSddzdzazz 0r320 ()33rraEararradrradrErrr030203033220023arrrarE drE dra020122drdrdrdr12Cdrdr22