工程电磁场与电磁波基础参考答案-张惠娟

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3.3 b 0 0 U b 2- 16 a b c 0 a b c 0 a b c 0 0 3322 0 )( 3 4 4arar4E )(bra )( 3 )( 2 3 0 0 2 0 2 r a r r a rE )(bra )( 2 3 )( d)( 3 d)( 222 0 0 0 2 3 0 0 2 0 2 0 b abaab b aba r r a r r a rrEU b a b a )2( 6)( 22000 aabb aaba bU )( 2 3 )( d)( 3 d)()( 322 0 0 0 2 2 3 0 0 2 0 2 br rbarb br rba r r a r r a rrr b r b rE 2- 16C/m2,ab c2.6 0 )(abc 3.6 a 0 b 0 a 0 )(b Prr, br 2- 15 a U0 ( 3 3 0 0 0 ( 0 2 2 222 0 aaaa 22 ( d 2(2 dr 2.62.6 2- 152- 15 2 0 2 0 0 0 2 1 2 0 2 0 0 0 2 1 2 2 , 22r aa r bb rr r e r E r e r E P ) ( 2 2 2 2 2 0 11 r a r brr EEE brarP 2 0 2 0 2 2 00 2 2 2 2 , 22r aar rr r e r E r e r E P ) ( 2 2 2 0 0 22 r a r rEEE arP 0 0 0 0 2 3 0 0 0 0 2 3 2 2 , 22 r e r E r e r E rr rr P crrEEE 0 0 0 0 33 2 )( 2 2- 17bUb a a min E min E aa l r rE l 0 2 )( a b r r rEU l b a l b a ln 2 d 2 d 00 )ln( 2 0 ab U l )ln( )( abr U rE ar )ln( )( aba U aE )(aEa 0 )(ln 1)ln(1)( 22 ab ab aa aE 1)/ln(ab 718. 2 b e b a b U U b e E718. 2 min U U U minmin r l l 0 2 ) b b a a rE b a a d drE min E 2- 18R r r K ePK(1) (2)(3) P P p n eP p PED 0 D (1) 2 2 2 2 2 d d1 d d1 r K r K r rr Pr rr rp P Rr R K P Rrrpn eP (2)PED 0 0 P E 2 0 2 2 0 2 2 d d1 d d1 r K Pr rr Dr rr rr D 0 2 0 2 0 4 d4 1 d RK rr r K q R (3) r r K e P E )( 00 1 )(Rr rr r RK r q eeE 2 00 2 0 2 )(4 )(Rr r r RK r r K rErEl R R rRr R r d )( d )( ddd 2 000 211 E )( ln )( 000 K r RK )(Rr r RK r r RK drE rr)( d )( 00 2 00 22 )(Rr P 2- 19x)1 (xKK 0 xdxU )1ln(d K C 2- 20 1 r 2 r 00 r K K r rE Er r d dElE r 0 0 0 0( R R E E R R R d dElEd dl K R r R E2 )( r r r r e e 2 2 0)0 rdErrE ( ln 0(0 K K r r R r K eE 2 0 Kr p 2 00 1 00 1 1 2 )( rK r p Kr r p 0 2 0 2 1 2 )( 2- 21 (1) (2) 0 Ed4 r 1 45 1 1 (1) 3.9 0 E 0 E 0 E 2 1 2- 21 0 2 1 tan tan 14 4 1 tantan tan tan 101201 1 (2)E nn EE0 0 n EE 100 cos 14cos 4 1 cos 010 0 EEEn 00000 728. 014cos 4 3 )(EEEn p 00000 728. 014cos 4 3 )(EEEn p 2- 222 1r 3 2r 0z1 2 zyx zxyeeeE)5(32 12 E 2 D 20z0)( 21z eEE0eDD z )( 212 E 2 D 0z 2 zzyyxx yxEyxEyxEyxeeeE)0 ,()0 ,()0 ,()0 ,( 2222 202202 3EED r 0z0)( 21z eEE0eDD z )( 21 )0 ,(352 )0 ,()0 ,(32 200 22 yxE yxEyxExy z yyxxyx eeee 310)0 ,(,3)0 ,(,2)0 ,( 222 yxExyxEyyxE zyx 2 2 E 2 D0z )1096()0 ,( ) 310(32)0 ,( 02 2 zyx zyx xyyx xyyx eeeD eeeE y y y y y 5(5e ex x () ) 21 1 2- 21 000 E0 0 0 0 728. 0E E0 2 1r r z e ) ) ) ) 2- 240 xax C/m2 )0 00 axxx 0 0 xx 0 xx 0 xx )0(0 d )(d 0 2 1 2 xx x x )(0 d )(d 0 2 2 2 axx x x )0()( 0111 xxDxCx )()( 0222 axxDxCx )( 1 x)( 2 x 0)(, 0)0( 21 a 0 012 0201 0 )()( ),()( xx x x x x xx 0 0 12 202101 22 1 0 0 CC DxCDxC DaC D x 0 x y 2( ) x 1( ) x 0, )( 1 0 00 1 D a ax C 0 00 2 0 00 2 , x D a x C )0( )( )( 0 0 00 1 xxx a xa x )()()( 0 0 00 2 axxxa a x x )0( )( d )(d )( 0 0 001 11 xx a xa x x x xx eeE )( d )(d )( 0 0 002 22 axx a x x x x xx eeE 2- 27b (1)(2) (3) a 12 q 12 21 EE 21 DD)(brarE (1) 0 o 2- 24 2 2 D D )( ) 0 0 0 0( ( y 0 0(0(x0(0( )( ( 0 )( ( )()(2d 21 2 braqDDr S SDb 111 ED 222 EDEEE 21 )( )(2 )( 2 21 bra r q r r eE )( )(2 )( d 1 )(2 )( 21 2 21 bra br rbq r r q r b r (2) r r q eEP 2 21 01 1011 )(2 )( )( r r q eEP 2 21 02 2022 )(2 )( )( 0) 1 ( d d1 )(2 )( , 0) 1 ( d d1 )(2 )( 2 2 2 21 02 22 2 2 2 21 01 11 r r rr q r r rr q pp PP 2 21 02 22 2 21 01 11 )(2 )( , )(2 )( a q b q ar rpa br rpb ePeP 2 21 02 22 2 21 01 11 )(2 )( , )(2 )( b q b q br rpb br rpb ePeP 0)( 2112 ePP p (3) 2 21 2 22 2 21 1 11 )(2 , )(2a q a q ar ra ar ra eEeE 2 21 2 22 2 21 1 11 )(2 , )(2b q b q br rb br rb eEeE DE 111 ED 222 EDEEE 21 2- 28 0 00 , 0 byyaxx axby y axy byax byx byax yx 0, 0, 0,0 0,0 0, 0,0 0,0,0 0 2 2 2 2 2- 30a )0,0(sinsin),( 01 ayax b y a x Uayx )0,0(sinsin),( 02 azax b y a x Uzax 0 U 1 a 2 2- 27 z y x a 1 2 a a 2- 30 0 0 x x 0 0 0 0 0 0 0 0 2 1 2 (2 1 1 2 ( 1 1 2 ar ar r r e 2 2 2 2b2 2b b E 1 1 ED D 11 11 0 0 yay y y 0 2 2 2 2 2 2 a y a z a z a y a xU zyx 2 sinhsin 2 sinhsinsin )2sinh( ),( 0 2- 31 (kg qmhq 3 102m02. 0hm) 2 0 2 )2(4h q mg 82 0 109 . 516mghq C 2- 32 (1) (2) 01 02 2 1 q 2 qh2 1 q 1 q 111111 21 21 1 3 4 3 1 qqqqqqq 222222 12 12 2 3 2 3 1 qqqqqqq h qq h qq h q A 1 21 1 21 1 1 9 4 )2/3(4)2/(4 h qqq h qq h qq qEqF qq 1 21 2 1 2 1 21 2 1 21 11 9 2 48)2(4 11 2- 33Rq h R b 2 , q h R q 2222222 0 2 222 0 4 1 )()(4)2()()(4hRh Rh Rh Rhq h q bh q bh qq qEF qq q h 2 1 q1 q2 h h 2 1 q1 + 21 qq 2 1 A q2 = 21 qq h h h q h h b b h - q +q -q A A 4 EqFEqFq qF F F 1 1 Eq 111 4 4 q q1 1 q1 2222 qqq2 222 q q2 2 qq q1 1q ()2/ ) qqqq q 21 2(4 1 2- 38RqbRb qqq1 qq2 q 1 q 2 q 2 qq 1 q 1 q t q1 t q1d bRd 2 q t q1 t q1 q b R q R d qt 1 q t q1 q t q1 2 q 2 q 2- 41a(1)q E(2)(3) 2- 41 1Er Earr9 ESd 0 2 4dd q ErSES ro S ro E 2 0 4r q Ero )( 4 2 0 ar r q ro eE arr q ErSE ri S ri 2 4ddSE q 3 3 3 33 ) 3/4 ( 3 4 3 4 a qr a q rrq )( 44 33 ar a qr a qr E riri eE ar o a max E (a)(b) a0 0 r a ar r 2- 412- d 2 max 4a q Eri 2 0 max 4a q Ero 1 2 ri a rq eEP 3 0 0 4 )( )( 3 02 2 4 )(3 )( 1 a q Pr rr rp P 2 0 0 4 )( )( a q EE ar rirop 3 21 2 2 01 2 e d 2 1 d 2 1 V o V i VEVEW 0 2 1 5 1 8 a q 2- 42ba 0 a b Wln 4 2 0 )( 2 0 bra r E a b r r VEVW b a ln 4 d2) 2 ( 2 d 2 d 2 1 2 0 2 02 DE 2- 43 V b a)(abba a b V F ln )( 2 0 a b r V Er ln a b zV dzr r a b rE VEW zb av ln )( d )(ln 2 )( 2 1 d)( 2 1 2 0 0 22 2 0 2 0 a b V z W F constV ln )( 2 0 d d a a ) ) b E b 2 d 2 )()b( 2- 44mA ( B 0 l 1 l 2 lK Kg/m) Bmg TK )( 01 llKTmg (1) A, BBmg )( 02 llKT 2 l 2 2 2 0 4 1 l Q F )( 4 1 02 2 2 2 0 llK l Q mg (2) (1)(2) 01 12 01 02 2 2 2 0 1 4 1 ll ll mg ll ll mg l Q A B 2- 4401 12 02 4 ll ll mglQ A 1 3- 1aq r sinvr= 3 (4/3) Q a = 3 3sin 4 Q r Jv a = 2 2 3 00 3 3 0 3sin 2 4 3 2 ( cos ) 432 a S Q r IJ dSrdrd a QaQ a = = u vu v 3- 1 3- 2 2222 A/m2210 zyx zxyxzyeeeJ+=1)3=x 32 y2 . 58 . 3 z x e2) 3)x x J (1) x dSdydze= uu v 22 (102 xy J dSy zex ye= u vuu vuu v 2)10 zx x zedydzey zdydz+= uvuu v 35.23 2222 23.82 105(5.23.8 )399(A) z S IJ dSy dyzdzydy= u vu v (2)3x =2.5y =4.5z =J u v 2 281.254581 (A/m ) xyz Jeee=+ u vuu vuu vuv 2222 (281.5)( 45)(81)296.121 A/m )J =+ + u v (3) x J x J 2 399 285(A/m ) 1 1.4 x x I J S = 32 3 3 2 3.8 5.2 x y z r O Q a 2 . 5 2 . 5 x x dy yd d dzezex xd d u uu v u v u u u 10e u u u 2 2 2 y xy y 2 2 2 2 y (1J dS Sd=( 10y y z zdy 2 2 y y d 2 J u v x 3- 32.0 cm2.5 cm 20A 0.01m )02 . 0 025 . 0 ( 107 . 8 22 8 S R 2 02 . 0 01 . 0 S R 20A 5 105 . 1 R R I I (1) AII20(2) (1)(2) 0IAI20 3- 4Iz0z =z S J600 3- 4 0z = 2 sr I Je r = uu vuv 60o 60 0 26 s II IJ dld r = o s J A/m 60o r z I Iz z S S A A20 3 s IJ dl=IJdS= 3- 5() )(= E 0=J 0)(=+=EEEJ EE = EEED+=)( )(= =EEE 3- 6 12 12 U0(1)JE (2) 1Jr=1E1rarbJr=2E2rbrc r I Jr 2 = drEdrEU c b r b a r += 21 )lnln( 12 02 1 b c a b r U E + =arb )lnln( 12 01 2 b c a b r U E + =brc )lnln( 12 021 b c a b r U eJ r + = r r arc 11 a b c 22 3- 6 E1r 1r a a r r 00 ()r r E 0 U 0 ,ha ar, r ( )F= (1) 2 2 1 (sin) sin dd rdd = (sin)0 dd dd = 1 sin d C d = 12 ln(tan) 2 CC=+ 0R V = = 2 2R dd 2 2R2 2R R ) ) z z z d d d 01 1 0 R R J0+ + 0 h 0 7 1 C 2 C 0 = 0 U= 0 10 ln(tan) 2 CU= 90=0= 2 0C = 0 0 ln(tan) 2 ln(tan) 2 U (1)E uv E = uv 0 2 1 ln(tan) 2 ln(tan) 2 U Eee r r = = uvuu vuu v 0 0 ln(tan) sin 2 U e r = uu v 0 0 ln(tan) sin 2 U E r = 3- 12z l (0,d) 1 1 sin n z a n n n Aye a = =(0)x 2 1 sin n z a n n n Bye a = =(0)x a h 0 r 0 3- 11 h r0 0 1 1 x a d 2 0= 0= y 3- 12 1 1 x a d 2 0= 0= y a 8 , nn A B 12 0,x = 12 0 S xx += ( )() Sl yyd= ()yd 0 ()1 a yd dy= 0 ( ) ()( ) a f yyd dyf d= (0)da 2 1 0 1 sin()sin() n x l a n nn dy e nnaa = = (0)x 3- 13Sd1d2 12 U0 I S J JJJ= 21 , 1 1 1 J E =, 2 2 2 J E =, +=+=)( 2 2 1 1 22110 dd S I dEdEEdlU n n Ad n 1= = 0)0)0) 1 1 xnxn n Ay xn aa nnnnnnnn = = 0 s n 0 1 0 0 1 1 si l n n n 0 = = 2= = 9 2 2 1 1 dd SU I + = 2112 20 1 dd U E + = 2112 10 2 dd U E + = )( 1 2 2 1 10 dd SI U R+= 3- 14a=10=0.01S/m 100A aG2= aG R 2 11 = W a I RIP 6 22 2 1059 . 1 1 . 001. 02 100 2 = 3- 15ac 12 bU0 I s JdSI= 22 12 22JrJrI+= 12tt EE= 12 EEE= 111 JE= 222 JE= 2 12 2()rEI+= 2 12 2 () I E r = + ()arbR1, dR2) qq 12 ,dR dR 1 12 11 4 q RdR = =2(2 abU ab 2 2 a b ,= D E E , , U = = v v 11 2 21 11 4 q RdR = 12 2112 4 1111 q C RRdRdR = + 12 2112 4 1111 I G RRdRdR = + 2112 11111 4 I R GrRRdRdR =+ 3- 19E( 0 r), 100V/m 2 00 )rr()r(+=S/m 14 0 103 =S/m 20 1050 = .S/m3 6 0 106=rm (1)I (2) (3) 0 ( )r 1 122 00 ( ) ( )3 10/ r Jr E raA m = u ruruu r 2 0 4 s IJ dsr J= u r 6 212 4 (6 10 )3 101357.2A = = 2 2 000 0 22 ( ) ( ) ( )() 4 rr rr E rI J raarr rr = = u ruu ruu r 2 000 2 ( )1( ) ( )( ) J rJ r Er rrrr = u r ur 2 0 000 2 220 0000 22 1 ( ) ( ) () 2( )/ ( ) r E r rrr rr r E rC m rr = = I = 0 rr(rr(r(r( 0 0 ( 6 0000) 3 r r 00 a a= = 3a u uu r u ru 4 4 s J d ds sdr JJ d ds sd 4 4 (6 64=(64 u r u 12 0000 ( )( ) sr a E rE r= uu r ur 102 8.85 10/C m = 1 0 0 ( )( ) r rE r dr = urr 0 2 000 22 00 2 0 2 0 20 0 0000 0 22 00 20 0 0 0000 2 00 0 ( ) () ( )2 ln ( ) 1 ln 2 384000 r rE r dr rrr r r E r r r rr r E rr rr V = + + = + + + 3- 20ac br = 1122 (1) 0 UJra=bc (2)(3) 1I s JdSI= 22 12 22JrJrI+= 12tt EE= 12 EEE= 111 JE= 222 JE= 2 12 2()rEI+= 2 12 2 () I E r = + ()arb () () () 0 2 1212 1 22 bb aa ba II UEdrdr rab = + () 120 2abU I ba + = c c 1 13 () 0 2 abU E ba r = ()arb () 10 11 2 ab U JE ba r = ()arb () 20 22 2 ab U JE ba r = ()arb 2 0 12 2 () Uba R Iab = + 3 2 120 0 2 ()abU PIU ba + = 3- 21 2 mm8020m20mV5 S/m105.7 7 = 310C/m 10.361(1) (2)(4)(5) (1) 5 7 12 2.19 10 0.02 0.08 5.7 10 l R S = (2) 3 3 5 50 10 2.28 10 2.19 10 U IA R = (3) 3 62 2.28 10 1.43 10/ 0.02 0.08 I JA m S = (4) 3 2 50 10 2.50 10/ 2 U EV m I = (5) 23 252 (2.28 10 )2.19 101.14 10PI RW = 3- 22a(1) (2)a=0.2mOA=5.2m10- 4S/m AB0.8m 1 I 22 2 42 rr II Jee rr = u vuvuv 5 2.1 19 10 0 0 10C/m 36 12 0.5 5 75 5 3 3 1010 IA 5 10 2 J S = = 14 2 2 r JI Ee r = u v uvuv 2 00 22 II VEdrdr ra = 2 VI R Ia = 25.20.86( )lm=+=0.8bm= 6 2 5.2 4 11 225.26 11 42 ( ) 2105.26 l AB l b II VEdrdr r I I V = = 3- 23 1 r 2 rh 0 () ()R(1) AB()(2)CD() 3- 223- 23 1 0= 12 0 ()rr= 0 = 012 ()Vrr= 12 rr= 0 0(0) = AB=+ a O b l AB z 0 h 1 r 2 r A C D a a ( D A 15 0A = 0 0 V B = 0 0 V = 0 0 V Ee= = uvuu v 0 0 V JEe= u vuvuu v 2 1 02 0 01 ()ln hr Sr V hr IJ dSdzJd r = u vu vu v 00 2 1 ln V R r I h r = 2CD D0C 0 V 10 (0)r= 0 V= 20 (0)r=0= 12 0()rr=0 = 012 ()rr=0 = lnAB=+ 10 lnABrV+= 2 ln0ABr+= V= 20 0)0) 20 0= = 12 ()() 1212 ()()() 1212 ()()() 0 V0 0 0 = 16 2 lnABr= 0 2 1 ln V B r r = 0 2 2 1 ln() ln V r r r = 0 2 1 ln V Ee r r = = uvuu v 0 2 1 ln V JEe r r = u vuvuu v 0 0 1 00 0 2 1 ln hd S r V h IJ dSdzJd r r = = u vu vu v 02 01 1 ln Vr R Ihr = 00 2 1 1 ln ln V h 00 r2 r1 2 2 01 r2 2 4- 1P b)bI 2322 2 0 )(2za Ia aB z + = z=0P a I aB z 2 0 = c)P ()() 0 0 1 2 222 II B aa = P () () 0 0 2 1 cos 2cos0cos 4sin2sin o II B aa = P ()() 00 12 1 cos 22sin II BBB aa =+=+ 4- 2n(a)I na nI Btan 2 0 = )sin(sin 4 21 0 = r I B nn = 2 2 21 a P I a a) P R P R b)c) 4- 1 I I 1 2 2 B1 na r cos= na nI Btan 2 0 = 4- 3BJ a) xy yxeeF3040=b)eFAr= c)(12 yx yxeeF=d)eeFr r 34+= c) yx AAeeF+=d) zr reeF23+= 4- 4 12 (1)B1B2(2) 1 2 I He r = 0 10 2 I BHe r = 2 2 I BHe r = (2) () 0 2 00 1 2 I MBHe r = () () 0 0 111 0 2 Mzz Idd JMerMer r drr dr = r=0 00 1 m C I IIB dl+= 0 1 m II = () 0 0 0 | 2 mrzr I JMee r = = HeHe He= J J 4- 5B0 B0()BHB0=1T 0 5000= M 000 /HHB= 0 0 BHB= 0 0000 14999 1 B MHB = 0 BB= 0 /HBB= 0 000 114999 () 5000 B MHB= 4- 6 (1 r ) HJ=,MJ= m ()MHHB+= 0 ()HHM11 r 0 = = ()JJ1 rm = 4- 7 mm2 1= aS/m107 1= mm3 2= a S/m104 7 2 =A100=I:(1) J1J2(2) 111 EJ = 222 EJ=EEE= 21 EaaaI)( 2 2 1 2 21 2 1 += 2 2 1 2 21 2 1 )(aaa I E + = 2 7 111 / 12 105 mAEJ = 2 7 222 / 3 105 mAEJ = 1 ar rBJrrB833 . 0 2 10 2 = I 4- 9 4- 7 1 I a1 a2 2 mm2mm2 1 1= a S S/m/m104 107 7 0000 4999 5000 00 = H = 1 21 ara z M z z MMe= v v M 0 m JM= vv 4- 10 I N N r N 2 0 = L= = = = I I ( ( = l ISI 2 NS l l r0 () 1 0 mnzz KMeMee= = vv vvv 5.9 mnz KMeMeeMe= vv vvvv m IK b= ba ()() 22 00 3 23 2 2222 22 IaMba B zaza = + () 2 3 2 22 02 BMba H za = + B v H v z 0 0 0 1BM = vv 0 BM vv 4- 11H0 12 H1H2 12 BBB= vvv 1 H v 2 H v 0 H v 2 hl vv 0 BM 12 1 H H 4- 11 ( )( )()() 11211222 c H dlHPhHPhHPhHPhI= + = vv H v 0Hl = vv I ( )() 00102 22 c H dlHPhHPhI= = vv 1 P 2 P 120 2HHH+= vvv 0 12 2 BB H+= vv v 12 0 12 2 BH= + vv 2 10 112 2B HH= + v vv 1 20 212 2B HH= + v 4- 12y=0 x eK4=A/m Zyx eeeH332 1 +=A/mH2 4- 130y y yx eeB105 . 0 0 =mT B yx eeB5 . 010+=mT B0 1 xxyyzz Be Be Be B=+ 1212 , nntt BBHH= 0 10 yy BB= y 12 0 0 12 BH 1212 + vv 10 1 1 B HH B B 2020 B B HHHH 2020 B 2020 v v B y 3 3e e e ey y 0 000 0.5 xx r BB = 0 00 0 zz r BB = 2500,10,0 xyz BBB= = 250010 xy Bee= 2 0000 xxyyzz Be Be Be B=+ 1212 , nntt BBHH= 0 0.5 yy BB= 0 000 10 5000 xx r BB = 0 00 0 zz r BB = 000 0.002,0.5,0 xyz BBB= 0 0.0020.5 xy Bee=+ 4- 14d 0 J z e a 0z a Juu r B ur 0z a J uu r 100y BaJ x= uu ruu r 2 d x 0z a J uu r 00 2 () 2 xy J Ba ya x= uu ruu ruu r 222 ()xya+ 00 12 () 2 xy J BBBa ya x=+=+ uruu ruu ruu ruu r 222 ()xya+ z zz AA a= 2 0 AJ= 1 A 2 A ra 1 00 1 () A rrJ rrr = + ra 2 1 ()0 A r rrr = 3 10012 1 ln 9 AJ rCrC=+ 234 lnACrC=+ 1234 ,C C C C 0r = 1 0C = 3 200 1 9 CJ a= 3 300 1 3 CJ a= 3 400 1 ln 3 CJ aa= 33 110000 11 () 99 zz Aa AJ rJ a a= 33 00 1 () 9 z Jra a= 3 2200 1 ln 3 zz r Aa AJ aa a = BA= 2 1 1100 1 3 A BAaJ r a r = = 32 2200 1 3 z A BAaJ a a rr = = = 4- 181=x0=yz I- IB 1= = 2 2 B B = 0000 1 3 J 00 = zz ln zz r ln a 1 1 AA = 2 2 A2 A = 00 ln 2 z Ir Aa r = 0 r p1x = 1x = + 000 12 (lnln) 2 z Irr Aa rr = 02 1 ln 2 z Ir a r = 2 0 2 12 cos ln() 212 cos z Irr a rr + = + 1 () zz zzr AA BAa Aaa rr = = + 2 0 22 12 (1)sin r Ir B r r + = 2 0 22 12 (1)cosI r B r r = 0 z B = 4- 19 cos 0 KeK z = ( , ,0)P r x y z r r 1 r - 110 a= = 12 n) rr 12 1 1 r1 2 0 0 1 1 ln n 21 I I 1 +rr B = 1m2m a 1m2m r 2 11 22 11 0 mm r rrrrr += 2 22 22 11 0 mm r rrrrr += cos 1m2m 111 sincos m C rDr=+()ra 11 11 1 mm mr Hee rrr = = v vv ()() 1111 sincoscossin r eCDeCD= + vv 22 22 1 mm mr Hee rrr = = v vv ()() 2222 22 11 sincoscossin r eCDeCD rr = + vv ra= 12rr HH= 210cosS HHJ= 12 0DD= 10 1 2 S CJ= 2 20 1 2 S CJa= () 00 1 sincos 22 SS ry JJ Heee= += v vvv ()ra 4- 20r0=15cma=2cm r=1400 N=1000I=0.7A l0=0.1cm( r ) 1212121212 (CDc cos sc c sc 2222mmmm222222 rrrr 2222 ) 2 2222 2 11 )c 222222 sD rrrr ) )D 12 H H CJCJ 1 0 ar 0 2 NI H r = 22 0 2 a N I NS H r = 22722 0 1400*4 *10*0.02 *1000 2.346 22*0.15 a N LH Ir = 2 0 BBB= 0 000 (2)H lHrlNI+= 0000 , r BHBH= 0 BBB= 0 000 (2) r r NI B lrl = + 22 0 000 (2) r r a N I NSB lrl = + 222722 0 000 4*10*1400*0.02 *1000 0.944 (2)1400*0.0012*0.150.001 r r a N Ilrl = + 1 2 2 0000 0.5 m WH Sl= 2 000 0.5(2) mr WH Srl= 00 00 1400*0.001 1.487 22 *0.150.001 mr m Wl Wrl = 4- 21ab 12 I 1 ra 0 0 ( r r l l0 0+ + 0000) 22 0000 (2)2) 0000 a2 222 2)2) 0000 (2)2)+( ( 2 4*1 ) )140 4 rl 00) 140rl 0 0.5 .5 m m Wm= = WW 2 0 2 2 I rHr a = 0 2 () 2 I Hr ra a = arb() 12 r HHI+= 12 12 12 , BB HH= 12 BBB= () 12 12 () I Barb r = + 222 abb 0 0aa 012 111 2 rdr+rdr+rdr= 222 m BBB W = () ab 2012 2 0a 01212 r11111 2 rdr+rdr= 22 a2 II r + + () 22 012 12 b ln 162a II + + 2 2 0.5 M WLI= () 012 2 12 2b ln 8a M W L I =+ + 4- 22a I 2 2 0 2 00