《电磁场与电磁波》第?谢处方编)课后习题答案高等教育出版社精?- 百度文库

3?0Eacos?

??2?002(???0)??13???Ecos??Ecos???E0cos? r?a00?r??2?0??2?03?0??2??Ecos? r?a?r??2?00??1??2?? ?1(a,?)??2(a,?) ?0r?ar?a

?r?rɼ?1?2ϵı߽

?2(a,?)?? ܶΪ

3?0(???0)E0cos? r?ar?a??2?03.21 ƽаijֱΪabΪdһd(0~)ý糣Ϊ?ĵ䣬3.21ͼʾ

2(1) (1) ӵѹU0ϵɵܶȡɣ

(2) (2) ֪ϵɵΪQʱѹɣ

?p?ngP2?(???0)ergE2??(???0)??2?r?(3) (3) ĵ

1 еĵ糡ΪE?ezEеĵ糡ΪE0?ezE0D?D0

?E??0E0 dd E?E0??U0

22ʽ

z d2 U0

2?0U02?U0 d2 E??E?? 0

(???0)d(???0)d

2?0?U0 ¼ɵܶΪ ???E??(???0)d2?0?U0????E? ϼɵܶΪ00(???0)d2?0(???0)U0P?(???)E??e еļǿ0z(???0)d2?0(???0)U0 ±ϵܶΪ ?p??ezgP?(???0)d2?0(???0)U0 ϱϵܶΪ ?p?ezgP??(???0)d2?0?UQ? 2 ??ab(???0)dE0 (???0)dQ?1U? õ 2??ab?2 0 E (???0)Q?1?? p ?ab ??0E0

? 3.21ͼ

3.22ͼ

(???0)Q

?ab2?0?abQ? 3ĵΪ C? U(???0)d?p??3.22 Ϊt糣Ϊ??4?0޴ʰ壬ھȵ糡E0УE0ɽ?13.22ͼʾ󣺣1ʹ?2??4?1ֵ2ʰļܶȡ

tan?1?0? 1ݾ糡ı߽ڽʰı

tan?2??1?1?0tan?2?tan?10?tan?1?14o ɴ˵õ ?1?tan??4 2ʰеĵ糡ΪEݷֽϵı߽?0E0n??En

?0E0cos?1??En

?1o En?0E0cos?1?E0cos14

?4ʰܶ

?p??(???0)En???0E0cos14o??0.728?0E0

ʰұܶ

34?p?(???0)En??0E0cos14o?0.728?0E0

34 3.23 ڽ糣Ϊ?޴ȽУµĿǻǻеE0D0

1ƽEοǻ

2洹ֱEıοǻ 3Сοǻ4.14⣩

1ƽEοǻݱ߽ڿǻIJϣE0?Eοǻ

E0?ED0??0E0??0E 2ڵ洹ֱEıοǻݱ߽ڿǻĵϣD0?Dڱοǻ

D0?D??EE0?D0?0??E ?03.24 ΪSƽа糣Ա仯Ľʣһ(y?0)?1һֱ仯һ(y?d)?2

֪ʵĽ糣Ϊ ???1?y(?2??1)d ƽаļϴֱΪ?qɸ˹ɵ

Dy???q SEy?dDy??q

[?1?y(?2??1)d]Sԣĵλ U?Eydy?0??2qqddy?ln ?[?1?y(?2??1)d]SS(?2??1)?10dʵΪ C?S(?2??1)q? Udln(?2?1)3.25 һܶΪ??2.32?10?7Cm3ڵĵɾȷֱֲΪ2mmûеɷֲԼڲⲿľ糡ǿȡ

ڲɸ˹ɵ 2?rEr?1?0?r2?

?r2.32?10?7r??1.31?104rVm (r?10?3m) Er??122?02?8.854?10ⲿ 2?rEr?1?0?a2?

?a22.32?10?7?10?6?21?3??1.31?10Vm (r?10m) Er??122?0r2?8.854?10rr3.26 һ絼ʲΪĵ(?,?)Ժ͵ԶDz

?(??)Եġ֤к㶨JʱڽɵɣܶΪ??Jgû?Pһ?P

???(?E)??g(J)?Jg?()??gJ ???gD??g????(??) ں㶨?gJ?0ʵõ ??Jg?P

?J?P???gP???gD??0?gE??Jg?()??0?g()???????0??Jg?()?Jg?(0)??Jg?()

???3.27 ʵͬ£ڵ뾶Ϊa⵼ڰ뾶Ϊcʵķֽ뾶ΪbʵĽ糣Ϊ?1?2絼Ϊ?1?2ڵĵѹΪU0

⵼ӵء󣺣1֮ĵܶȺ͵糡ǿȷֲ2ʷֽϵɵܶȣ3ͬߵλȵĵݼ©衣

dS?Iɵõܶ 1ͬеλȵľΪIJgS?I

(a?r?c)

2?rJI (a?r?b) ?erеĵ糡 E1??12?r?1JI (b?r?c) E2??er?22?r?2J?erbc U0?E1gdr?E2gdr?ab??I2??1lnbIc?ln a2??2bǵõ I?2??1?2U0

?2ln(ba)??1ln(cb)J?erֽеĵܶȺ͵糡ǿȷֱΪ

?1?2U0 (a?r?c)

r[?2ln(ba)??1ln(cb)]?2U0 (a?r?b)

r[?2ln(ba)??1ln(cb)]?1U0 (b?r?c) E2?err[?2ln(ba)??1ln(cb)]E1?er 2??ngDɵã1ڱĵܶΪ

?1??1ergE12ĵܶΪ

r?a??1?2U0

a[?2ln(ba)??1ln(cb)]???2???2ergE2ֽʷֽϵĵܶΪ

r?c?2?1U0

c[?2ln(ba)??1ln(cb)]??(?1?2??2?1)U0 r?bb[?2ln(ba)??1ln(cb)]U?ln(ba)??1ln(cb) 3ͬߵλȵ©Ϊ R?0?2

I2??1?22??1?2 ɾ⣬ɵͬߵλȵĵΪ C??2ln(ba)??1ln(cb)?12??(?1ergE1??2ergE2)3.28 뾶ΪR1R2(R1?R2)ͬĵ뵼˽糣Ϊ?絼Ϊ???0(1?Kr)ĵý(KΪ)ڵĵλΪU0⵼ӵء󣺣1ýеĵɷֲ2뵼ĵ衣

ڵ⵼ĵΪIڵܶȳԳƷֲ

4?rJI糡ǿ E??er?4??0(r?K)rR2J?erI2(R1?r?R2)

(R1?r?R2)

R2ĵѹ U0?R1?Egdr??R2(R1?K)?II dr?ln???4??0(r?K)r4??0K?R1(R2?K)?R14??0KU0ɵõ ?R(R?K)?

ln?21??R1(R2?K)??0KU0J?er ?R2(R1?K)? 2rln???R1(R2?K)?I????Jg?()?ýеĵܶΪ ?ýڡϵĵܶȷֱΪ

1?R2(R1?K)?(r?K)2r2 ln??R(R?K)?12??K2U0??1?ergJ?r?R1?1?R2(R1?K)?(R1?K)R1 ln???R1(R2?K)??KU0

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