5
8/8/2019 Enrichment _ Circular Coil Moving in a Magnetic Field v2 http://slidepdf.com/reader/full/enrichment-circular-coil-moving-in-a-magnetic-field-v2 1/5 GIU<1>1 Qnek > mo ; Tf`w ~{kwt`mb nqqkn|kd `b <116 HG< Qfpw`gw Ckgt{|k Tkwt om| Kckgt|mjnebkt`wj# Kckgt|mjnebkt`g @bd{gt`mb nbd Nctk|bnt`be G{||kbt" < n) Wtntk On|ndnp‐w nbd Ckbx‐w cnu" Y<Z l) O`e" <"> &bmt d|nub tm wgnck) wfmuw n |kgtnbe{cn| q`kgk mo u`|k NLGD mo ckbetf  nbd u`dtf l" Tfk u`|k jmvkw nt n gmbwtnbt vkcmg`tp tf|m{ef n |ke`mb Q^\W `b uf`gf tfk|k `w n {b`om|j jnebkt`g o`kcd mo 1"71 T d`|kgtkd `btm tfk qnqk| " Tfk vn|`nt`mb u`tf t`jk mo tfk k"j"o" K `bd{gkd `b tfk u`|k `w e`vkb `b tfk e|nqf `b O`e" <"<" O`e <"> O`e <"< &`) [w`be tfk cnuw mo kckgt|mjnebkt`g `bd{gt`mb# kqcn`b ufp kjo `w `bd{gkd nw tfk u`|k NLGD kbtk|w tfk jnebkt`g o`kcd" Y<Z &``) Wtntk nbd kqcn`b tfk d`|kgt`mb mo `bd{gkd g{||kbt &`o nbp) ocmu`be `b tfk gm`c nw `t kbtk|w tfk jnebkt`g o`kcd" Y<Z &```) Wfmu tfnt tfk vkcmg`tp mo tfk u`|k# `w >1 j w *> u`tf gckn| kqcnbnt`mb mo pm{| um|i`be" Y7Z &`v) Fkbgk m| mtfk|u`wk# gncg{cntk tfk vnc{kw mo nbd l" Y4Z

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Page 1: Enrichment _ Circular Coil Moving in a Magnetic Field v2

8/8/2019 Enrichment _ Circular Coil Moving in a Magnetic Field v2

http://slidepdf.com/reader/full/enrichment-circular-coil-moving-in-a-magnetic-field-v2 1/5

GIU<1>1

Qnek > mo ;

Tf`w ~{kwt`mb nqqkn|kd `b <116 HG< Qfpw`gw Ckgt{|k Tkwt om|

Kckgt|mjnebkt`wj# Kckgt|mjnebkt`g @bd{gt`mb nbd Nctk|bnt`be G{||kbt"

< n) Wtntk On|ndnp‐w nbd Ckbx‐w cnu" Y<Z

l) O`e" <"> &bmt d|nub tm wgnck) wfmuw n |kgtnbe{cn| q`kgk mo u`|k NLGD mo ckbetf n  nbd u`dtf l" Tfk u`|k jmvkw nt n gmbwtnbt vkcmg`tp v tf|m{ef n |ke`mb Q^\W `buf`gf tfk|k `w n {b`om|j jnebkt`g o`kcd mo 1"71 T d`|kgtkd `btm tfk qnqk| "

Tfk vn|`nt`mb u`tf t`jk mo tfk k"j"o" K `bd{gkd `b tfk u`|k `w e`vkb `b tfk e|nqf `bO`e" <"<"

O`e <">

O`e <"<

&`) [w`be tfk cnuw mo kckgt|mjnebkt`g `bd{gt`mb# kqcn`b ufp kjo `w `bd{gkd nwtfk u`|k NLGD kbtk|w tfk jnebkt`g o`kcd" Y<Z

&``) Wtntk nbd kqcn`b tfk d`|kgt`mb mo `bd{gkd g{||kbt & o nbp) ocmu`be `b tfk gm`cnw `t kbtk|w tfk jnebkt`g o`kcd" Y<Z

&```) Wfmu tfnt tfk vkcmg`tp mo tfk u`|k# v `w >1 j w*> u`tf gckn| kqcnbnt`mb mo pm{|um|i`be" Y7Z

&`v) Fkbgk m| mtfk|u`wk# gncg{cntk tfk vnc{kw mo n nbd l" Y4Z

Page 2: Enrichment _ Circular Coil Moving in a Magnetic Field v2

8/8/2019 Enrichment _ Circular Coil Moving in a Magnetic Field v2

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GIU<1>1

Qnek < mo ;

&v) Tfk |kgtnbe{cn| u`|k unw |kqcngkd u`tf n g |g{cn| gm`c mo d`njktk| n nw wfmub`b O`e" <"7 nbd jmvkd tf|m{ef tfk wnjk {b`om|j jnebkt`g o`kcd nt gmbwtnbtvkcmg`tp v "

O`e <"7

Wiktgf tfk vn|`nt`mb u`tf t`jk mo tfk `bd{gkd kjo K om| tfk g`|g{cn| u`|k mbO`e <"4"

Y<Z

O`e <"4

n

Page 3: Enrichment _ Circular Coil Moving in a Magnetic Field v2

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http://slidepdf.com/reader/full/enrichment-circular-coil-moving-in-a-magnetic-field-v2 3/5

GIU<1>1

Qnek 7 mo ;

Nbw

<n) On|ndnp‐w cnu wtntkw tfnt tfk jneb`t{dk mo tfk `bd{gkd kjo `w  d`|kgtcp q|mqm|t`mbnc tm tfk

|ntk mo gfnbek mo jnebkt`g oc{"

Ckbx‐w cnu wtntkw tfnt tfk d`|kgt`mb mo tfk `bd{gkd kjo `w w{gf tfnt `t mqqmwkw tfk gfnbekq|md{g`be `t"

<l`) Ufkb tfk gm`c NLGD kbtk|w tfk jnebkt`g o`kcd# tfk n|kn mo tfk gm`c `jjk|wkd `b tfk

jnebkt`g o`kcd `bg|knwkw# wm tfk|k `w nb `bg|knwk `b tfk jnebkt`g oc{ om| gm`c NLGD"

Nggm|d`be tm on|ndnp‐w cnu# nb kjo `w `bd{gkd `b tfk gm`c"

<l``) Gmbw`dk| u`|k LG mo tfk gm`c# nw t `w jmv`be `btm tfk jnebkt`g o`kcd tm tfk |`eft#

nggm|d`be tm Ckbx‐w cnu# nb mqqmw`be om|gk ngt`be tm tfk ckot u`cc lk q|md{gkd `b tfk u`|k

LG" Tf`w `w d{k tm tfk `bd{gkd kjo `b tfk u`|k LG uf`gf q|md{gkw nb `bd{gkd g{||kbt `b

tfk gcmwkd cmmq" Nggm|d`be tm Ockj`be‐w Ckot Fnbd \{ck# tfk g{||kbt u`cc ocmu o|mj G tm

L"

Nctk|bnt`vkcp  

Nggm|d`be tm Ckbx‐w cnu# tfk gm`c NLGD j{wt |kd{gk tfk `bg|knwk `b tfk jnebkt`g oc{

qnww`be tf|m{ef `twkco uf`gf `w ngt`be `btm tfk qnqk|" Nggm|d`be tm \`eft fnbd e|`q |{ck# n

g{||kbt j{wt lk q|md{gkd tfnt ocmuw nbt`gcmgiu`wk `b tfk gm`c NLGD# wm nw tm q|md{gk nb

mqqmw`be `bd{gkd jnebkt`g oc{ tfnt ngtw m{t mo tfk qnqk|"

<l```) Tfk gm`c NLGD tnikw 7 ‗ > : < jw tm jmvk gmjqcktkcp btm tfk jnebkt`g o`kcd nbd

|kjn`bw gmjqcktkcp `b tfk gm`c uf`ck jmv`be tm tfk |`eft om| 4 ‗ 7 : > jw" Fkbgk u`|k LGtnikw < > : 7 jw tm t|nvkc 7 gj &ncmbe tfk ckbetf mo tfk jnebkt`g o`kcd" W`bgk tfk gm`c `w

jmv`be u`tf gmbwtnbt wqkkd tm tfk |`eft nbd wqkkd `w dko`bkd nw tfk |ntk mo gfnbek mo 

d`wtnbgk8 v : 1"17-1"117 : >1 j w*>

" &fkbgk wfmub)

<l`v)

jn

41->111 &1"7) &>1)

1"1>77 j

  K Llv

l

l

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:

:

 

jn

&41 ->111)(&< ->111) 1"7&>- 5;)

1"1< j

 Lln

n

n

Ϗ  :

:

:

 

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GIU<1>1

Qnek 4 mo ;

ζ  

ζ  

vt 

Jntfkjnt`gnc q|mmo mo wfnqk mo e|nqf om| &v)8

JKTFMD @8

Ckt tfk wfndkd n|kn lk N"

< << >w`b<

< <  N | |  

ζ ρ ζ 

ρ : ∜  

< < < < <gmw < &> gmw < ) < w`b

dN| | | |  

d ζ ζ ζ 

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ufk|k ζ  `w `b |nd`nbw"

Bmu#

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t | | 

ζ ∜

: : ∜  

w`bd v

dt | 

ζ ζ ∜ : ∜  

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d v

dt | 

ζ 

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Tfk|kom|k#< <

< <& )< w`b < < <

| | vt  dN dN d  |v |v v |vt v t  

dt d dt |  

ζ ζ 

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∜ ∜: : : : ∜  

`bd{gkd kjo# < <& )< <

d d LN  K Lv |vt v t  

dt dt  

ί: ∜ : ∜ : ∜ ∜  

Bmu jn`j{j K mgg{|w ufkb| 

t v

: #

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< < <

jns s < < < < <| | 

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GIU<1>1

Qnek ; mo ;

<? 1"< >11  K t t  : ∜ ∜  

Tf`w `w bmt n bkent`vk w`bk e|nqf...

Om| n bkent`vk w`bk e|nqf# ufkb t : 1# tfk e|nd`kbt wfm{cd lk *>"

@b tf`w gnwk# ufkb t : 1# tfk e|nd`kbt `w `bo`b`tp"

JKTFMD @@8

<dN p dt  : dN : <p dt

< < < << < & )

dNn n n vt  

dt : ∜ : ∜ ∜