vDt ? ¨ i×?H? H?? < 9-1 ?m 9-1 ? U BHí ké @ 20 A¥°?L P?$|? 120 0 ¥? ! d" 2cm p P?¥H?? < b 3 P? OAüéL  ?[ OA ¥è @ P¥H?? <1 ,b T OB¥<L PQ  °=∠ 30OPQ  OB è @ P?¥H?? <vl 00 21 (sin sin ) (sin sin 30 ) 4 cos30 24 II B dPQ μμπ ββ ππ =?= + ° ° B I P O 120 0 d A m 9-1 24 7 mWb/1073.1) 2 1 1( 2 3 02.04 20104 ? ? ×=+ ×× ×× = π π Z_<°?? ?_?b 9-2??1 R¥????LDB°?LF?í ^ í ^?Yμè @ I ? m 9-2 ? U p?? O?¥H?? < m? ? 1X?  b I A C ? I O R B 3 Q?ìè @??)¥H? R I B 2 0 μ = ∴?? ABC O)¥H? ) 2 2 ( 2 0 1 π ?πμ ? = R I B Z_<° ? ?_ ú m 9-2 ?°Lè @¥H? 0 21 (sin sin ) 4 I B a μ θ θ π =? ∴°L AB O)¥H? 00 2 [sin sin( )] 2sin 42 2 22 4cos 2 II tg B aR R μμ 0 2 Iμ? ?? ? ππ π =??=?= ? Z_< °? ?_ ú ?? O)¥H? 0 12 (2 2 ) 42 I B tg BB R μ ? π? π =+= ?+ 9-3 ?é° ?L??Z_??Mì  AaB  ? iD?ù¥è÷M ?b ?m 9-3 ? U pì??¥H ?? <b 3 !Mì $ AaB ? s? ??¥?ésY1 l a èEsY1 a è @sY1 a b 1 l2 R1 R2 I1 I 2 ?m? D i ó R1 R2 ∴ l l R R I I 1 2 1 2 2 1 == ' lIlI 2211 = A O B I I ∴ I1  O?¥H?? < R lI R l R I B 2 11 01 1 0 1 422 π μ π μ =?= Z_<° ?? ?_? m 9-3 ∴ I 2  O?¥H?? < R lI R l R I B 2 22 02 2 0 2 422 π μ π μ =?= Z_<° ?? ?_ = 40 vDt ? ¨ i×?H? ' a vlM?Z_MQb B v 1 B v 2 ∴ 0 20 1 =+= B B B v v v 9-4B??1 R¥ ? ? ???1 r¥|??s ( {?è ?è? á1 +σ ??s ( {μè ?è? á1 -σ nm 9-4b !N ? [? ?1 < ? àL ?? H? ??? O )¥H? ? < 1 ,ù R? rμ I 11"$i p?"d¥H b r O ω R 3  1 | ??1 r′a z1 ¥?ì ?í ?{è r′d rrsq ′′?== d2dd πσσ  á 3¥è @ qI d 2 d π ω =  ∴ 2 d 2 d2 2 2 d d 0 0 0 r r rr r I B ′ = ′ ′′?? = ′ = ωσμ πσ π ω μ μ m 9-4 rr <′ ¥?sá 3¥H? 00 0 22 r r dB dr B ωσωμμ + ′== = ∫∫ σ Z_ £ ü_· Rrr <′< ¥?sá 3¥H? )( 2 d 2 d 00 rRrBB R r ?=′== ∫∫ ? ωσμωσμ Z_ £ ü _P ?5i 0 0 =?= ?+ BBB ' 0)2( 2 0 =? Rr ωσμ  ∴ rR 2=  2 ¥H vl Id rd r dI rdPm ′ ′ = ′ = 32 ωσππ rr <′ ?s 3 0 1 4 r m dr Pr 4 r ωσπ ωσπ + ′== ′ ∫ Z_ £ ü_· Rrr <′< ?s )( 4 1 443 rR rd rP R r m ?= ∫ ′ ′ = ? ωσπωσπ Z _ £ ü_P ∴ RRRRrPPP mmm 44444 32 7 ) 8 1 ( 4 1 )2( 4 1 ωσπωσπωσπ ?=?=?=?= ?+ Z_ £ ü_ P 9-5 _e0)?è ?  ? H ?¥è0 V AT ^??1 a" 0.53?10 8 cm¥E ? ?1j:E? T ???? ?è0E???)á 3¥H?? <vl1 12.5T p 1è0?¥ ?v l$ 2? "d¥H b  è0¥è?è  e" 1.6?10 19 Cb 3  1T  ????¥è0??è @¥è @ <1 a v e t e I π2 ?= ? = IE???)á 3¥H?? < a ev a I B 2 00 42 π μμ == ∴ s m 10 2.2 10 6.1 10 14.34 5.12) 10 53.0(14.344 16 197 10 2 0 2 ? ?? ? ?×= ×××× ×××× == e B a v μ π 41 vDt ? ¨ i×?H?  2 m A 10 33.9 2 10 53.0 10 2.2 10 6.1 22 224 10619 2 ?×= ××××× ==?== ? ?? eva a a ev IS Pm π π HY  9-6 X?B (  H?¥H?? < B" 2TZ_  x à?Z_ ?m 9-6 ? UX ? ab" cd" 40cm bc" ad" ef" 30cm be" cf" 30cmb p  1YVm? abcd ?¥H Y   2YVm? befc ?¥HY   (3)YVm? aefd ?¥H Y b 3  1B v <°,V ü ? abcd B va z b d e f O c n v x y ∴ Wb24.03.04.02 1 ?=××?=?=?= abcdabcdm BSSBΦ vv μ|V U B v L, ?? ?  2B v ü?? ü ? befc 090cos 2 =°=?= Φ ∴ BSSB m befc vv m 9-6  3, ? ü ? abcd¥H ?L ?D, aefd ü ? ¥H ?L ?M] ∴ Wb24.0 12 =?= mm ΦΦ 9-7  ü?é °?LM  d" 40cm ? ??Lμ? ]_è @ I ?m 9-7 ? Ub p  1 ?L ? ü ? = DP?LM  x x ?L-W ¥B? P)¥H?? <b (2) ? I" 20A Y V m?|L ? U ? ¥HY  r 1 " r 3 " 10cm l" 25cm)b 3 y ? ? m ? U¥US" r 1 l I x P d I r 3 r 2  1P?L  P?¥H ?? < x I B π μ 2 0 1 = Z_<°? ?_/ ·?L P?¥H?? < )(2 0 2 xd I B ? = π μ Z_<°? ?_/ ∴ ) 11 ( 2 0 21 xdx I BBB ? +=+= π μ Z_<°? ?_/ m 9-7  2 x) | z1 dx¥ ? í dS=ldx !Z_<° ? ?_/  HY  xl xdx I SB m d) 11 ( 2 d d 0 ? ? +=?= Φ π μ vv ∴ Wb102.2d) 11 ( 2 d 60 21 1 ? + ×=? ? +=?= ∫∫ rr r xl xdx I SBΦ m π μ vv ? ?ì ^? p 9-8 ?m 9-8 ? U¥?8?5 =a???sY1 a ? b ?8 =μè @ I !è @ I ( s??8? 5¥?? ?  p  1H?? <¥s?  2YV ? ü ?8?5 S ü ? = |??s¥H?? Y b b a I I S 3  1T ??1 ra??àL ¥?1sí ^?? ?ì ^? p ar <  02 11 =?=? ∫ r B ldB L π vv  ∴ 0 1 = B v m 9-8 42 vDt ? ¨ i×?H? bra <<  )( )( 2 22 22 0 0 2 ar ab I Ir B ?? ? =′=? π π μ μ π ∴ )(2 )( 22 22 0 2 ab r ar I B ? ? = π μ Z_D I ?@· m ?èE5 br >  Ir B μ π 0 3 2 =?  ∴ r I B π μ 2 0 3 = Z_D I ?@· m ?èE5  2 | ?í rrlS ddd == ∴ a b ab a II dr r ar ab I b a m ln )(24)(2 22 2 00 22 22 0 ? ?= ? ? = Φ ∫ π μ π μ π μ 9-9??1 R¥íKé????8 =?? ?B??1 r¥íKé??8 ?8¥àL ü?M 1 d ?m 9-9 ? U b??8?Yμè @ I O I ( s??? ? b p  1???8àL ¥H?? <   2 b??sàL ¥H?? <b 3 A?E b !??1 r¥ bW?Yμ? 7Q_¥è @ è @ áD?8?M]  1??? 8àL¥H????1 r¥íKé??8?è @á 3 m 9-9 R r O O’ d ∴ r rR I I d B l B L 2 22 0 1 0 11 )( 2d π π μμπ ? ? ?==?=? ∫ v v  )(2 22 2 0 1 rR d r I B ? = π μ  2 b?? sàL ¥H????1 R¥íK é??8?è @á 3 ∴ d rR I I d B l B L 2 22 0 2 0 22 )( 2d π π μμπ ? ? ?==?=? ∫ v v  )(2 22 0 2 rR Id B ? = π μ 9-10 ?m 9-10 ? U í kv ü? ü ? ?μ ( s?¥ ?è @ ?è @ ásY1 1 i v ? 2 i v  è @ á Z_ ü?b p  1  ?-W¥H?? <  2  ?-? bW¥H?? <b 3 í kv e¥H?? <vl 2 0 i B μ = y ? ?m ? UUS" 1 i v 2 i v  1 e- W e i B x v v 2 1 0 1 μ =  e i B x v v 2 2 0 2 μ ?= ∴ eiiBB B x v vv v )( 2 21 0 21 ?=+= μ m 9-10  2·e -? H e i B x v v 2 1 0 1 μ =  e i B x v v 2 2 0 2 μ =  ∴ eiiBB B x v vv v )( 2 21 0 21 +=+= μ Pe-? H e i B x v v 2 1 0 1 μ ?=  e i B x v v 2 2 0 2 μ ?=  ∴ eiiBB B x v vv v )( 2 21 0 21 +?=+= μ 43 vDt ? ¨ i×?H? 9-11 ?m 9-11 ? U B (  á ?¥ì? ?L5  ? N Yμè @ I ?? ?1 ? ?ì =a ???sY 1 R 1 ? R 2 b p  1ì ? ?L5 =?¥H?s?  2ì ? ?L5?? ?¥HY b 3  1H ?s?1[ìà1??¥B ? ??b |B B v L1sí ^Z_D B v M]b ?? ?ì ^? pì5 =H? ?@ R 1 R 2 NIrBlB μπ 0 2d =?=? ∫ vv L ¤ r NI B π μ 2 0 = b ì5?μ 02 =? rB π ' 0=B  2?? ?  |B z1 dr¥é H ?íHY 1 m 9-11 rb r NI SBSB m d 2 dd d 0 ?==?= Φ π μ vv  ∴ 1 200 ln 2 d 2 Φ 2 1 R RNIb r rNIb R R m π μ π μ == ∫ H?è @¥T¨ ? ? ? 9-12 ?? 1 R ¥ ü ???L ??μ1 @ I ?L ???B? ( H? B v ? ( H?Z_DL ? ü ? <° ?m 9-125 1L ? ?êé¥è @í ? sH? ?1 $  2P?? s ? ??$  3 ????L ?? ??$ 3  1 ? |Bè @í Idl v  ? sH? ? dF Idl B= × vv v B v I R vl Z _·_?? dF IBdl=  2?? ? V?P?? s ?Z_ £ ü_· 2 2 cos cosdF IB Rd IBR F π π ααα ? ==??= ∫∫P m 9-12  3·?? s ? £ ü_PvlDP??M] ?[????L ? s ?1 ,b 9-13 ??1 R ¥ ü ???L ??μ1 @ IB @ I’¥í Ké°?LYV??L ?¥??b?i?? ?L ? ?  Mo '?  ? m 9-13 ? U 5??L ?P?? ? sH ? ??$????L ? ? sH ? ? ??$ I R I’ 3  1 ? mP??  ? |Bè @í Idl v  s ?vl 00 2 cos 2 cos IIId dF IBdl I Rd R μμα α π απ ′′ ==? ?=? ??? V?P?? sH? ?Z_ £ ü_P ∴ 2 0 0 2 1 cos 22 II dF d II F π π μ ααμ π ? ′ ′== = ∫∫P m 9-13  2·?? sH ?Z_ £ ü_P OD M? FP ∴ 0 2 II FF μ ′= = P 44 vDt ? ¨ i×?H? 9-14B í K é á ?e z1 a Y μè @ I 1   ?μB ?L ? ABCD Yμè @ I 2  L ?Dá ?e ? ?m 9-14 ? Ub p  1I 1  AB? CD)á 3¥H?? <  2 á ?e  AB? CDH¥T¨ ?b 3 y ? ? m ? UUS" a b c D C I 2 A B I 1  1á ? e  x) | B z1 dx¥ ?éH ?è @ 1I dI dx a = dI AB)¥ H?? <vl 0 2( ) AB dI d B abx μ π = +? Z_< °? ?_/ m 9-14 á ?e  ?μ ?éH AB)á 3¥H?Z_M] ∴ 11 00 0 ln 22 a AB AB dx a b II d BB aabx a b μμ ππ + == = ∫∫ +? Z_< °? ?_/ ] ? V¤ 1 0 ln 2 CD abc I B abc μ π ++ = + Z_<°? ?_/  2 12 12 00 ln ln 22 AB AB AB AB lab ab II II Idl dli i FB ab ab μμ ππ ++ =×= = ∫∫ v v v vv ] ? 12 0 ln 2 CD l abc II i F abc μ π ++ = + v v H ?  9-15 <° ?Yμè @ I 1 ¥é°?L ü ? =μB ? @L ? abcd? ?sY1 R 1 ? R 2 é °?Lf? 1 αL ??Yμè @ I 2  ?m ? Ub p  1L ?òH ? s¥ ?  2L ? ? s¥ ? b 3  1bc? da è @ íZ_D B v ]_ ∴ 0 FFbc da = = v v a b c I 1 α d R 2 R 1 m 9-15  ab   I 1 1 r) |è @í 2 dl I v  s ? 2 dF dl B I = × vv v I 2 Q 2 dl B I ⊥ v v  ∴ 12 0 2 2 II dF dl B dr I r μ π =?= Z_<°?? ?_? 2 1 12 12 2 00 1 ln 22 R ab R dr II II R dF F r R μμ ππ == = ∫∫ ] ? 12 2 0 1 ln 2 cd II R F R μ π = Z_<°?? ?_ =  2  I 1 1 r) |B z1 dr¥ ? ?? ? ? 2 1 2 S r α= ? ∴ dS rdrα= H 1 22m ddSr PI I dα== Z_<°?? ?_/ 45 vDt ? ¨ i×?H? H ? vl1 112 00 2 22 m III dM d B rdr dr PI r αμμ α ππ =?= ?= ∴ 2 1 12 12 00 21 () 22 R R II II Mdr R R ααμμ ππ == ∫ ? Z__· 9-16 ?m 9-16 ? UB  ? @L ?? 20 Mo '?¥%?L ?? V ? y à? L ??μè @ I " 0.10 AbH?? < B" 0.50 T¥ ( H?? B v ¥Z_ ü?? xà p??L ?m Uê? H¥ ? b 3 ?? @ ü ?L ?¥H vl1 m NIS P =  ? sH ? vl1 3 3 sin sin 60 20 0.1 0.1 0.05 0.5 4.3 (N m) 10 2 m MB NISB P θ ? =? = °=××× ××=× ? Z_ yμ_ ∴??L ?m Uê? ?3 ?  3 4.3 N m 10 j M ? = ×? v v ?   9-17 B?? 1 R ¥{è ? ?è? ? á1 σb ( H? B v ? B v ¥Z_D ? ? ü? ?m 9-17 ? Ub ?? ? ? àL[? ? ω? k p  1? ?¥ H   2?T¨?? ?¥H ? b 30 0 O z y x 10cm B v 5cm m 9-16 3  1 | ??1 r z1 dr¥?ì è  2dq rdrσ π= ? B v σ < O R ???è @ 2 dI dq rdr ω ωσ π =?= H  23 m ddI Pr r dπ πωσ== m 9-17 4 0 4 1 d Rpp R mm πωσ== ∫ Z_àL_   2 ? sH ? vl m p 3 mm dM d B d B B dr PP πωσ=×=?= v v Z_<° ? ?_ ú ∴ 3 0 1 4 R 4 M dM B dr Bπωσ πωσ== = ∫∫ R Z_< °? ?_ ú H??è?¥T¨ 9-18  ? ? ¥?è? q M 1 d i ? ü?? ?1 vb p ? ì-W¥MoT¨ ? ?? ? ^ ?? ^ ? ?$ 3 ?m ? U è? q/è? q)á 3¥H?? <1 d qv B 2 0 4 ?= π μ Z_<°? ?_ ú 46 vDt ? ¨ i×?H? /è? sH ?vl 2 22 0 4 d vq qvBF m π μ == Z_·_ è? q'M o ? /è? sè? ?vl 2 0 2 4 d q F E πε = Z__  è? q'M o ? 1 11 2 2 2 00 >== v c vF F B E με  Mo ? b 9-19 Bè0 ¥? ?1 10eV<°? ( H?¥ ü ? =T???b ??H? B" 1.0Gè0 è?1 e " 1.6?10 19 Cé  m" 9.1?10 31 kgb p  1è0¥ E? ?? R  2è0¥ íè ? ù T  3 H ?Z_43è0 ^ ¨ H?Z_? ^ I H?Z_íè$ 3  1Q v m Ek 2 2 1 =  ∴ ) 2 ( 2 1 m E v k = E??? cm67.10 10 1 10 6.1 ) 10 1.9 10 6.1102()2( 419 3119 2 1 2 1 = ××× ××××× === ?? ?? eB m E eB mv R k  2 s 10 6.3 10 1 10 6.1 10 1.914.3222 7 419 31 ? ?? ? ×= ××× ××× === eB m v R T ππ  3Q Bve F L v vv ×?=  ∴ ¨ H?íè 9-20 B v" ? ?m 9-19 ? UX? ?¥?? ?1 S z1 w¨1 dμè @ I?H? B v <°?è @  m? B v <°?? ?_? b !?ê 8?μ n? @0 ?? @0¥è?1 q ü (?_ ? q1 vb 1£ ü " ??iB?vl1 E" vB¥ è?i· E v ¥Z_  2 a/  H aab¥è ] μ U 'Hè ]ú$ 3 9è ??l1 IB ES R H = £ ü nq R H 1 = b ?i ) ? q 1? ?μ¥ f ? a 3  1 ü? H?è? s ? % ?? :è?¥T¨ d I B v b m 9-20 ? % ? Bvq F L v vv ×= Z_ ?°_  ' aH ? ?è? bH  ?μè? ?[ :è?? aH· _ bH Q 0=+× E qBvq H v v v  ∴ Bv EH v vv ×?= vl vB E H =  2 U aHè ]ú vBdldBvld E b a b a Hab = ∫ ?×?= ∫ ?= vv v v v )(  3? : è ??l S IB RE HH = ' vB S IB RH = ∴ nqqnSv vS I vS RH 1 === ¤£b H ?¥? 47 vDt ? ¨ i×?H? 9-215 9-15? ?L ?H ?T¨/? ü?ê? pH? ?S¥?b 3 7 S H HY 1 BSBS 2 1 cos 1 == θφ  ü?ê? H BS=φ 2 ∴ J 10 25.105.01.05.01.0 2 1 2 1 )( 4 12 ? ×=××××==?=?= IBSIIA φφφ 9-22?? R" 0.1m¥? ??>?L ? μè @ I" 10Ab  B=0.5T¥ ( H?? H?Z_DL ? ? ü? ?m 9-22 ? Ub p  1L ? ? sH ? ¥vl?Z_  [°?1à   2 ?L ? sH ? ¥T¨?L ? ü ?DH?<°¥ê?5H ? T? R m 9-22 I 3  1Q B P M m v v v ×=  n R InIS Pm vvv 2 2 1 π?==  ∴ Bn R IM v v v ×= 2 2 1 π B v vl mN 10 85.75.0)1.0(1014.3 2 1 2 1 2 2 2 ?×=××××== ? B R IM π Z_ ?°_   2 J 10 85.7 2 1 )( 22 212 ? ×=??==?=?= R BIIIIA πφφφφ Hoé 9-23 ? ? ì ???é l" 10cmì  (  á ? N" 200¥L ? L ??Yμè @ I" 100mAb 1 p 5 = ¥ H?? < 0 B v ?H? < 0 H v   2 ?5 = ?MH? q μ r " 4200¥H?té 55 =¥ B v ? H v ^  $ 3  1 ? ?ì? ??l H V|ì =H? j1 ( ¥b?? ?ì ^? p NIl B r B ld B L μπ 0 000 2 =?=?= ∫ ? v v  ∴ T 10 5.2 1.0 1.0200 10 4 4 7 0 0 ? ? ×= ××× == πμ l NI B mA200 1.0 1.0200 0 0 0 = × === l NI B H μ Z_ ?m  2?? ? ì ^? p NIHlldH L == ∫ ? vv  ∴ mA200== l NI H T05.14200 0 0 ==== B l NI HB r μμμ 9-24Bí Ké a? ? 1 R 1 ¥°???^?L  μ?μ 0 ?BaMH? q1 μ r ¥?c?Hoé  =?? ?sY1 R 1 ? R 2 ^?L =μè @ < IYV è @?? ?  ( s ?b pH? <?H? ? <¥ s?i? Hir wL? Bir wLb 3 [^? LàL1??T??1 r¥?1sí ^ Z_Dè @ ?@· m ?è? pb ?? ?ì ^? p 2 L Hdl H rπ?=? ∫ r v null 1 r R <  2 1 2 1 2 I rI Hr  0 11 0 2 1 2 Ir BH R μ μ π == 1 2 1 2 Ir H R π = R π π π ′?==  ∴ 12 r R R <<  2 2 rI H π?= ∴ 2 2 I H rπ =  0 2 0 2 2 r r I H B r μ μ μμ π == 2 r R >  3 2 rI H π?= ∴ 3 2 I H rπ =  0 33 0 2 I BH r μ μ π == 48